2024.10
Reported by: Yancong XU (China Jiliang University)
Time: 15:30 October 22, 2024
Location: Room 401,Yifu Building
Topic: Global Bifurcation Dynamics of a Leslie Type Predator-preymit Model
Abstract: In this talk, we study a predator-prey mite model of Leslie typewith generalized Holling IV functional response. The model is shown to have very rich bifurcation dynamics, including subcritical and supercritical Hopf bifurcations, degenerate Hopf bifurcation, focus type and cusp-type degenerate Bogdanov-Takens bifurcations of codimension 3, originating fom a nilpotent focus or cusp of codimension 3 that acts as the organizing center for the bifurcation set. Coexistence of multiple steady states, multiple limit cycles, and homoclinic cycles is also found. Interestingly, the coexistence of two limmit cycles is guaranteed by investigating generalized Hopf bifurcation and degenerate homoclinic bifurcation, and we also find that two generalized Hopf bifurcation points are connected by a saddle-node bifurcation curve of limit cycles, which indicates the existence of global regime for two limit cycles and the nonexistence of isola of limit cycle. A Joint work with Yue Yang, Libin Rong and Shigui Ruan.
2023.4
Reported by: WANG Longhui University of Science and Technology of China
Time:16:00 -17:00 April 28, 2023
Location: Room 401, Yifu Building
Topic: Whittaker modules over some generalized Weyl algebras
Abstract：In 2009, G. Benkart and M. Ondrus investigated Whittaker modules for generalized Weyl algebras. In this talk, based on their results, I will present classifications of irreducible Whittaker modules for three special kinds of generalized Weyl algebras, including Rueda's algebras, the algebras Uq(f(K)) and the algebras Uq(f(K,H)) (some deformations of Rueda's algebras). This talk is based on a joint work with Professor Hongjia Chen
Reported by: Dai Han University of Science and Technology of China
Time: 15:00 -16:00 April 28, 2023
Location: Room 401, Yifu Building
Topic：A class of polynomial modules over map Lie algebras
Abstract：For any finitely generated unital commutative associative algebra R over C and complex finite dimensional simple Lie algebra g with a fixed Cartan subalgebra h, we classify all g & R modules on U(b) such that h as a subalgebra of g& R acts on U(h) by the multiplication. We construct these modules explicitly and study their module structures.
Reported by: LIU Xingpeng University of Science and Technology of China
Time: 14:00 -15:00 April 28, 2023
Location: Room 401, Yifu Building
Topic：Quantum groups and multiplicity-free weight modules
Abstract：Multiplicity-free weight modules are a special class of weight modules whose weight spaces are one-dimensional. In classical cases, these modules play a crucial role in the classification of simple weight modules, due to Fernando and Mathieu. In this talk, I will explain the existence of multiplicity-free weight modules of quantum groups, and give one uniform construction by using U^0-free quantum group representations. This talk is based on joint works with Hongjia Chen, Yun Gao and Longhui Wang.
Reported by: FENG Tianfeng Sun Yat-sen University
Time: 9:00-11:00 am April 27, 2023
Presentation Method: Tencent Conference, Conference ID: 136301654
Topic: Introduction, Development Status and Prospect of Quantum Information Technology
Abstract: This report would focus on the basis and related applications of Quantum information technology. Starting with the basic concepts of Quantum information (quantum superposition, Measurement in quantum mechanics, quantum entanglement and quantum nonlocality), we will further introduce various quantum protocols, such as quantum teleportation, entanglement exchange, quantum purification and Quantum key distribution. In addition, this report will introduce some experimental progress related to Quantum technology and the reporter’s research work.
Reported by: LI Jianrong University of Vienna
Time: 20:00-21:00 April 26, 2023
Presentation Method: Zoom Conference, Conference ID: 87095701326, Password: 2023
Topic：Tropical geometry, quantum affine algebras, and scattering amplitudes
Abstract：In this talk. I will talk about a connection between tropical geometry, representations of quantum affine algebras, and scattering amplitudes in physics. The connection allows us to study important and difficult questions in these areas:(1) We give a systematic construction of prime modules (including prime non-real modules) of quantum affine algebras using tropical geometry. We also introduce new objects which generalize positive tropical Grassmannians.(2) We propose a generalization of Grassmannian string integrals in physics, in which the integrand is a product indexed by prime modules of a quantum a fine algebra. We give a general formula of u-variables using prime tableaux (corresponding to prime modules of quantum affine algebras of type A) and Auslander-Reiten quivers of Grassmannian cluster categories.(3) We study limit g-vectors of cluster algebras. This is another way to obtain prime non-real modules of quantum a fine algebras systematically. Using limit g vectors construct new examples of non-real modules of quantum affine algebras.
Reported by: ZHOU Jiang Harbin Engineering University
Time: 14:00-16:00 April 12, 2023
Location: Room 401, Yifu Building
Topic：Spectra of graphs
Abstract：There is a natural correspondence between a graph and its adjacency matrix. The spectrum (eigenvalue) of the adjacency matrix of a graph $GS is called the spectrum (eigenvalue) of graph $GS. In this talk, we introduce some basic definitions, properties and applications of graph eigenvalues.
2022.12
Reported by: LUO Shunlong
Time: 18:30 - 19:30 December 5, 2022
Presentation Method: Tencent Conference, Conference ID: 86880556770
Brief Introduction to Reporter: Researcher and Director of Applied mathematics Research Institute of Mathematics and Systems science Research Institute, Chinese Academy of Sciences, Director of Quantum Computing and Quantum information Processing Research Center. He was invited to give a one hour report (2015) at the 8th International Congress on Industrial and Applied Mathematics. He is mainly engaged in probability statistics, quantum theory and Information theory.
Topic：Wave-Particle-Mixedness Triality
Abstract：The wave-particle duality, as a manifestation of Bohr's complementarity, is usually quantified in terms of path predictability and interference visibility. In this presentation, we shed novel insights into the nature of the wave-particle duality by casting it into a form of information conservation in a multi-path interferometer, with uncertainty as a unified theme. More specifically, by employing the simple yet fundamental concept of variance, we establish a resolution of unity, which can be interpreted as a complementarity relation among wave feature, particle feature, and mixedness of a quantum state. The key idea of our approach lies in that a quantum state, as a Hermitian operator, can also be naturally regarded as an observable, with measurement uncertainty (in a state) and state uncertainty (in a measurement) being exploited to quantify particle feature and wave feature of a quantum state, respectively. These two kinds of uncertainties, although both are defined via variance, have fundamentally different properties and capture different features of a state. Together with the mixedness, which is a kind of uncertainty intrinsic to a quantum state, they add up to unity, and thus lead to a characterization of the wave-particle-mixedness complementarity.
2022.11
Reported by : CAI Wentong
Time : 14 : 00-15 : 00 ( Friday), September 30,2022
Presentation Method : Tencent Conference, Conference ID : 180420606, Password : 093022
Brief introduction of the reporter : Associate Fellow, received a joint doctorate degree from Iowa State University ( 2009-2014 ) and Nanjing Agricultural University ( 2015-2017 ) in 2017. The research direction is the research on the pathogenic mechanism and host immune mechanism of pathogenic bacteria ( pathogenic Escherichia coli, Brucella, etc. ) ; he is committed to applying the obtained knowledge to the development of molecular biology and immunological tools and products. In the recent years, he has published articles in the classic authoritative journals in the fields of PLoS Pathogens, Molecular Microbiology, Journal of Bacteriology, etc.with the first or corresponding authors ( including common authors ). He was supported by the National Natural Science Foundation of China ( NSFC ) Youth Fund for 1 time and the 13th Five-Year National Key Research and Development Program for 2 times. He served as a special reviewer for many magazines such as Cellular Microbiology and Frontiers in Molecular Biosciences.
Topic : Pathogenic mechanism and modular principle of pathogenic bacteria
Abstract : We Would Briefly Introduce the Pathogenic Mechanism and Modular Principle of Pathogens.
2021.9
Reported by: Prof. FEI Shaoming
Time: 9:00-12:00 am September 17, 2021 ;
4:00-17:00 September 18,2021 ;
14:00 -17:00 September 20,2021 ;
9:00-12:00 am September 23, 2021
Location: Room 401，Yifu Building
Brief Introduction to Reporter: Professor, researcher, doctoral advisor of the School of Mathematical Sciences of Capital Normal University, research direction: Mathematical physics. In 1993, he served as an associate researcher in the Institute of Physics of the Chinese Academy of Sciences. In January 1994, as a Visiting scholar of the German Humboldt Foundation, he worked in the Institute of Mathematics of the University of Bochum in Germany. In 1999, he worked in the Institute of Applied mathematics of the University of Bonn in Germany in Mathematical physics (Quantum information and quantum computing). Since 2001, he has been a distinguished professor of the Academy of Mathematical Sciences of Capital Normal University, a doctoral advisor, a part-time researcher of the Deutsche Mark Mark Planck Institute of Mathematical Sciences, an expert group member of the Italian Research Assessment Exercise Council (CIVR), and a reviewer and editorial board member of several SCI journals.
Topic: Introduction to Quantum Computing and Quantum information
Abstract: We would briefly introduce the relevant basis of Quantum information and quantum computing, including the basic concepts of quantum coherence measurement, quantum entanglement witness, quantum coherence and quantum entanglement, true multiparty entanglement, quantum nonlocal correlation and true multiparty quantum nonlocal correlation, Quantum information masking, measurement in quantum mechanics and quantum uncertainty relationship. And we would also briefly introduce the research status.
2021.7
Reported by: Prof. ZHANG Lai
Time: 10-11 am July 19th
Location: Room 405， Yifu Building
Brief Introduction to Reporter: Professor, doctoral supervisor. He graduated from the Technical University of Denmark in February 2012, and worked as a postdoctoral fellow at Umea University in Sweden from December 2011 to August 2016. He was the associate professor position in September 2016, won the lifelong post of reswon earcher in June 2017, and joined Yangzhou University in September 2017. A total of 45 SCI papers were published in international authoritative journals of theoretical ecology, such as Global Change Biology, Proceedings of the Royal Society of London, Methods in Ecology and Evolution, Evolution, and biomedical journals, such as Bulletin of Mathematical Biology, Journal of Theoretical Biology, Mathematical Biosciences, Theoretical Ecology, Physical Review E. In 2018, he received the second Jiangsu Province Industrial and Applied mathematics Award - Youth Prize, and in 2018, he also won one general project of Jiangsu Natural Science Foundation and one general project of National Natural Science Foundation.
Topic：Interdisciplinary mathematics in ecology
Abstract：In this talk, I summarize my recent mathematical models and their applications in ecology including size-structured population model, food-web models, and eco-evolutionary size-structured food models, as well as marine size spectrum model. Furthermore, I will briefly talk about my ongoing projects including impacts of climate change on size-structured lake model and on marine food web models, as well as evolution in fish populations.
2020.12
Reported by: Prof. BAO Gang, Dean of the Graduate School of Zhejiang University
Time: 15:00 -17:00 December 12, 2020
Location: Academic Lecture Hall of Qihang Building
Brief Introduction to Reporter: He graduated from the Department of Mathematics of Jilin University with a bachelor's degree in computational mathematics in 1985. In 1991, he received a doctoral degree in applied mathematics from Rice University in the United States. Since 1992, he has worked in the Institute of Mathematics and Its Applications of the University of Minnesota, the University of Florida and Michigan State University. In 1999, he was a professor of Michigan State University, the founder and director of Michigan Industrial and Applied mathematics Center, and the winner of the Feng Kang Award. He has worded in the Mathematics Department (College) of Zhejiang University since 2010 and he is currently the Dean of the Graduate School of Zhejiang University. He has been committed to the systematic research of inverse problems of partial differential equations and wave propagation problems applied to optics for a long time, and is one of the international leaders in mathematical theory and scientific calculations in the aforementioned fields.
Topic: Research and Application of Mathematical Inverse Problems
Abstract: We would briefly introduce the research and application of mathematical inverse problems.
2020.11
Reported by: Prof. CHEN Zengjing, Dean of School of Mathematics, Shandong University
Time: 15:00 - 16:30 November 21, 2020
Location: Multifunctional Hall of Qihang Building
Brief Introduction to Reporter: Professor and doctoral supervisor of Shandong University, currently the Dean of Qilu Securities Finance Research Institute of Shandong University and the Dean of School of Mathematics of Shandong University. He was awarded the National Hundred Excellent Doctoral Dissertations by the Ministry of Education and the Academic Degrees Office of the State Council, and the winner of the 14th Sun Yefang Economic Science Award. He won the second prize of the 2015 National Natural Science Award for the non-linear expectation method in the project asset pricing theory. He is the member of the Statistics Subcommittee of the Teaching Guidance Committee of the Ministry of Education, part-time professor in the Department of Statistics and Actuarial Sciences at The University of Western Ontario, Canada. And he is also the Director of the National Association for Probability and Statistics, and Executive Director of the National Association for Applied Statistics. He has made outstanding contributions to financial mathematics, econometrics, probability statistics, backward Stochastic differential equation and other research directions.
Topic: Financial Crisis and Financial Mathematics
Abstract: We will briefly introduce the financial crisis and the application of financial mathematics.
2020.7
Reported by: Researcher DAI Xiaoying
Time: 15:00 - 16:00 July 27, 2020
Presentation Method: Tencent Conference, Conference ID: 842197065
Brief Introduction to reporter: Researcher of the Institute of Mathematics and Systems Science of the Chinese Academy of Sciences. He graduated from Xiangtan University with a bachelor's degree in 2003, and obtained a doctoral degree at the Institute of Mathematics and Systems science of the Chinese Academy of Sciences in 2008. After graduating with a doctoral degree, he has worked in the Institute of Mathematics and Systems science of the Chinese Academy of Sciences until now. During the period from 2008 to 2010, he was engaged in postdoctoral research in Jacques Louis Lions laboratories in Paris, France. His main research areas include numerical analysis, computational materials science, parallel computing, etc. Relevant research has been carried out around the core mathematical model of the first principle computing, including the design and analysis of efficient algorithms for eigenvalue problems and corresponding optimization problems. As a major member, he has developed a set of the first principle electronic structure real space parallel adaptive computing program RealSPACES with the research group. He was awarded the title of "Chen Jingrun Future Star" by the Academy of Mathematics and Systems science, and the "Youth Innovation Award" by the Chinese Society of Mathematical Accounting Mathematics.
Topic：Gradient flow based Kohn-Sham density functional theory model
Abstract：In this talk, we will introduce an extended gradient flow based Kohn-Sham density functional theory (DFT) model. Based on an extended gradient flow proposed in this paper, we propose a gradient flow based Kohn-Sham density functional theory model. We prove that our gradient flow based model is orthogonality preserving. We thenprove that the extended gradient flow has an exponential decay over time t, and the critical point is a local minimizer of the Kohn-Sham energy functional. For this new model, we propose a midpoint scheme to carry out the temporal discretization, which is proven to be of orthogonality preserving, too. We finally report a number of numerical experiments to validate our theory. This is a joint work with Qiao Wang and Aihui Zhou.
2020.7
Reported by: LIU Yujie Pengcheng Laboratory
Time: 9:30-11:30 am July 26, 2020
Presentation Method: Tencent Conference, Conference ID: 933422127
Brief Introduction to Reporter: Assistant Researcher at the Quantum Center of Pengcheng Laboratory. In 2010, he obtained a master's degree in Applied mathematics from Pierre and Marie Curie University (Pierre and Marie Curie University) in France, and in 2014, he obtained a doctor's degree in Applied mathematics from Aix-Marseille University in France. After that, he was engaged in postdoctoral research in the CNRS high-level joint laboratory of the Center for Materials and Structure Science of the National University of Mining Engineers in Saint-Étienne, France. In 2016, he served as an associate researcher in the School of Data and Computer Science of Sun Yat-sen University.
Topic：Simplified and Primal Dual Weak Galerkin Methods for Some Engineering Applications
Abstract：Numerical simulation of industrial applications often involve complex typologies and multi-scale multi-physics phenomenon, which are known to be challenging. Some simplified weak Galerkin Methods (SWG) and primal dual weak Galerkin methods (PDWG) have been proposed and studied recently. These methods either have less degrees of freedom or dedicated to low regularity problems, are conservative, simple and user-friendly in computer implementation on polygonal meshes, thus ease engineering applications. Numerical theories such as the stability, discrete maximum principle (DMP) and optimal order of error estimates have been established and verified by numerical experiments. These numerical methods will be further extended and applied to solve more realistic multi-physics problems.
2020.7
Reported by: Researcher XIE Hehu
Time:9:00-11:00 am July 22, 2020
Presentation Method: Tencent Conference, Conference ID: 680325521
Brief introduction to reporter: a researcher of the Institute of Mathematics and Systems Science of the Chinese Academy of Sciences, who has successively obtained a bachelor's degree from Peking University and a doctoral degree from the Institute of Mathematics and Systems science of the Chinese Academy of Sciences. His research work is mainly about multi-level correction algorithm and multigrid algorithm for Nonlinear partial differential equation and eigenvalue problems, efficient finite element method, algebraic eigenvalue parallel algorithm, etc. He was a visiting scholar of the Croucher Foundation in Hong Kong, Chen Jingrun Future Star of the Institute of Mathematics and Systems science of the Chinese Academy of Sciences, and won the second excellent paper award of Science China: Mathematics, and the top ten scientific research progress of the Institute of Mathematics and Systems science of the Chinese Academy of Sciences in 2015.
Topic: Extended Subspace Algorithm and Its Applications
Abstract: This report introduces our multi-level correction algorithms for solving semilinear elliptic equations, eigenvalue problems, inequality constrained optimization problems, and more. This report would first start with an understanding of the most basic Aubin Nitsche technique in the simplest finite element theory, introduce a new low dimensional subspace and Aubin Nitsche estimates on it, and then apply this technique to iterative algorithms for constructing nonlinear equations. It analyzes the Rate of convergence and computational efficiency of this iterative algorithm, and improves the solving efficiency of nonlinear equations in polynomial form to an asymptotic optimal degree independent of the number of nonlinear iterations by using tensor technology. Finally, it would introduce the application and latest progress of this idea in eigenvalue problems, optimization problems with inequality constraints, etc.
2020.7
Reported by: Prof. LOU Yuan
Time: 9:00-10:00 am July 16, 2020
Presentation Method: Tencent Conference, Conference ID: 453444997
Brief introduction to reporter: The reporter studied in the Mathematics Department of Peking University from 1984 to 1991, and studied in the Mathematics Department of University of Minnesota from 1991 to 1995. He has done postdoctoral research in MSRI (1995-96) and the University of Chicago (1996-98), and has taught in the Department of Mathematics of Ohio State University since 1998. His research interest is the theory of reaction Diffusion equation and its application in biology.
Topic: Talking about the Latents in Infectious Diseases
Abstract: In infectious disease research, exposed populations usually refer to individuals who have been infected but have not yet shown symptoms of infection. Usually, the latecomers are not infectious, but the outbreak of COVID-19 makes people realize that if the virus has strong infectivity in the incubation period, it would bring great challenges to the prevention and control of the epidemic. We would explore the impact of latent individuals on the outbreak and prevalence of infectious diseases through multiple differential equation models, especially factors such as their migration and contagiousness.
2020.7
Reported by: Prof. LIU Maosheng
Time: 19:00 - 20:00 July 10, 2020
Presentation Method: Tencent Conference, Conference ID: 819 288 989, Password: 102020
Brief introduction to reporter: doctoral supervisor, outstanding young academic leader of universities in Shanxi Province, head of the scientific and technological innovation Team leader of the "1331 Project" in Shanxi Province, and communication review expert of the National Natural Science Foundation of China. He hosted 2 projects funded by the National Natural Science Foundation of China, 1 project funded by the Shanxi Provincial Natural Science Foundation, 2 projects funded by the Provincial Scholarship Fund, and participated in 4 projects funded by the National Natural Science Foundation of China, including 1 key project and 4 projects funded by the Provincial Natural Science Foundation. Published over 40 high-level academic papers and 2 monographs. In 2007, he won one first prize for teaching achievements in Shanxi Province. In 2008, the course ordinary differential equation, which he taught, was rated as a quality course in Shanxi Province. In 2010, he won one first prize in natural science category of Shanxi Science and Technology Award. In 2018, his "infectious disease dynamics and Big data team" was awarded the key innovation team of "1331 Project" in Shanxi Province.
Topic: Analysis of the Dynamics Model of Infectious Diseases Affected by Seasonal Periodicity
Abstract: Seasonal forcing and contact patterns are two key features of many disease dynamics that generate periodic patterns. In this talk, we develop and analyze a non-autonomous degree-based mean field network model within an SIS framework. We assume that the disease transmission rate being periodic to study synergistic impacts of the periodic transmission and the heterogeneity of the contact network on the infection threshold and dynamics for seasonal diseases. We demonstrate both analytically and numerically. Our results show that heterogeneity in the contact networks plays an important role in accelerating disease spreading and increasing the amplitude of the periodic steady state solution. These results confirm the need to address factors that create periodic patterns and contact patterns in seasonal disease when making policies to control an outbreak.
2020.7
Reported by: Researcher ZHOU Aihui
Time: 10:00-11:00 July 10, 2020
Presentation Method: Tencent Conference, Conference ID: 593114103
Brief introduction to reporter: Researcher of the Institute of Mathematics and Systems science of the Chinese Academy of Sciences. At present, he is the director of the Institute of Computational Mathematics and Scientific Engineering Computing, the vice chairman of the Chinese Mathematical Society, the vice chairman of the Chinese Industrial and Applied mathematics Society, and the chief editor of Computational Mathematics. The reporter has served as an editorial board member in other international and domestic magazines such as SIAM Journal of Scientific Computing, and has mainly engaged in numerical mathematics and scientific calculation, Ergodic theory and dynamic system research, including mathematical understanding and numerical approximation of electronic structural models, numerical methods of high-dimensional and stochastic problems, and statistical properties of deterministic systems.
Topic: Adaptive Finite Element Method for Eigenvalue Problems
Abstract: We will briefly introduce a class of adaptive finite element methods for eigenvalue problems, including their theory and applications in electronic structure calculations.
2020.7
Reported by: Prof. Radulescu
Time: 15:00 - 16:00 July 8, 2020, from
Presentation Method: Tencent Conference, Conference ID: 243 450 855
Brief introduction to reporter：Prof. Vicentiu Radulescu is a Full Professor at the University of Craiova (Romania) and also a Professorial Fellow at the Institute of Mathematics of the Romanian Academy in Bucharest. He published about 350 papers and 12 books with the best publishers in the world. He is Highly Cited Researcher and has been the Principal Investigator of several research projects.
Topic：New phenomena in anisotropic double phase problems
Abstract：We are concerned with new phenomena in the qualitative analysis of some anisotropic models described by nonhomogeneous differential operators with double-phase associated energy. The main topics of this talk include the following research directions: 1. Double phase anisotropic problems; 2. Double phase transonic flow problems with variable growth; 3. Problems with nonstandard growth and mixed regime. The proofs combine variational, topological and analytic methods. This talk includes perspectives and several open problems.
2020.6
Reported by: BAI Zhanqiang
Time: 16:00 -17:00 June 23, 2020
Presentation Method: Tencent Conference, Conference ID: 365654835
Topic：Gelfand Kirillov Dimension and Associated Variety of Highest Weight Modules of Simple Lie Algebras
Abstract：By using Lusztig's a-function we will give an algorithm to compute the Gelfand-Kirillov dimensions of highest weight modules of classical type Lie algebras (we will focus on type D). Then, we will give a characterization for the AV of highest weight Harish-Chandra modules of noncompact Lie gorups of Hermitian type. This talk is based on some joint work with Xun Xie.
2020.6
Time: 14:30 - 16:00 June 23, 2020
Presentation Method: Tencent Conference, Conference ID: 365654835
Topic: Characteristic Formula of LI Superalgebra
Abstract: This report would give a general review of the development of LI superalgebra Character theory. At the same time, he would also introduce the relevant work on LI superalgebras in recent years, including the construction of odd singular vectors on general linear LI superalgebras, for example, the non integer weight characteristics of exceptional LI superalgebra D (2 | 1; zeta). The report is based on the reporter’s collaboration with LIU Jie, WANG Weiqiang, CHEN Zhiwei, CHENG Shunren, and others.
2020.4
Reported by: SHEN Qibin
Time: 10:00-11:00 am April 24, 2020
Presentation Method: Attention grabbing meeting, conference number 146538096
Brief introduction to reporter: SHEN Qibin, graduated with a bachelor's degree from Zhejiang University and obtained a doctoral degree from the University of Rochester in the United States. The reporter has published multiple papers in the Journal of Number Theory and his research direction is Combination and Number Theory.
Topic：v-adic Multiple Zeta Values over Function Fields
Abstract：In this talk, we will define the interpolated v-adic MZVs over function fields and study the zero distribution of these values. We will also discuss some universal \mathbhh{F}_q-linear relations between these values and extend our results to more general set-up.
2020.4
Reported by: Prasit Bhattacharya
Time: 9:00-10:00 am April 24, 2020
Presentation Method: Attention grabbing conference software, conference ID: 146538096
Brief introduction to reporter: He got his doctoral degree from Indiana University in the United States, and currently he is a postdoctoral fellow at the University of Virginia. He previously worked at Adv Published several papers in well-known journals such as Math, focusing on algebraic topology.
Topic：Selected Problems Related to the Stable Homotopy Groups of Spheres
Abstract：The Stable homotopy groups of spheres is a graded ring which is a fundamental object in Mathematics. This ring is at the interface between geometry and algebra as it is simultaneously the cobordism ring of frame manifolds and the ring of K-theoretic groups of finite sets. In this talk, I will introduce and describe my contribution towards two classical problems in the subject: (1) Periodicity problems of v_n-self-maps, which results in infinite families in the stable homotopy groups of spheres; (2) Homotopy coherence of associative structure of a class of objects called Moore spectra, which throws light on structural properties of the sphere spectrum (whose homotopy groups form the ring of stable homotopy groups of spheres).
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