•  学术报告

​关于举行代数拓扑与几何系列学术报告会I的通知

发布时间:2022-07-14文章来源:华南理工大学数学学院浏览次数:10

报告时间:2022年7月18日,8:00-11:30,14:00-18:00

报告地点:Zoom meeting: 864 7253 9133  Password: 123456

报告人

报告题目及摘要

报告时间

Nathaniel Stapleton (University of Kentucky)

 

报告题目:On the KUG-local equivariant sphere

报告摘要:Equivariant complex K-theory and the equivariant sphere spectrum are two of the most 3 fundamental equivariant spectra. In this talk, I will explain how to calculate the zeroth homotopy Green functor of the localization of the equivariant sphere spectrum with respect to equivariant complex K-theory, where the group of equivariance is a finite p-group and p is an odd prime. This is joint work with Peter Bonventre and Bert Guillou.

 

8:00-9:00

Ningchuan Zhang (University of Pennsylvania)

 

报告题目: A Quillen-Lichtenbaum Conjecture for Dirichlet L-functions

报告摘要: The original version of the Quillen-Lichtenbaum Conjecture, proved by Voevodsky and Rost, connects special values of Dedekind zeta functions and algebraic K-groups of number fields. In this talk, I will discuss a generalization of this conjecture to Dirichlet L-functions. The key idea is to consider equivariant algebraic K-theory with coefficients in the characters. This is joint work in progress with Elden Elmanto.

 

9:10-10:10

 

Xing Gu (Westlake University)

 

报告题目: The ordinary and motivic cohomology of BPGLn(C)

报告摘要: For an algebraic group G over C, we have the classifying space BG in the sense of Totaro and Voevodsky, which is an object in the unstable motivic homotopy category that plays a similar role in algebraic geometry as the classifying space of a Lie group in topology. The motivic cohomology (in particular, the Chow ring) of BG is closely related, via the cycle map, to the singular cohomology of the topological realization of BG, which is the classifying space of G(C), the underlying Lie group of the complex algebraic group G. In this talk we present a work which exploits the above connection between topological and motivic theory and yields new results on both the ordinary and the motivic cohomology of BP GLn(C), the complex projective linear group.

 

10:30-11:30

 

Weinan Lin (Peking University)

报告题目: Applications of Groebner basis in the algebraic topology

报告摘要: Gr¨obner basis is a great tool to handle finitely generated commutative algebras over a field and solve many problems about them. These problems includes computing the homology of a finitely generated differential graded algebra and the Ext groups of a commutative algebra. In this talk, I will introduce some basic algorithms on Gr¨obner basis and and explain how to use them to do many calculations in algebraic topology. I will also talk about my ongoing work of generalizing the theory of Gr¨obner bases to a wide range of non-commutative algebras including the Steenrod algebra.

 

14:00-15:00

Daniel Murfet (University of Melbourne)

 

报告题目: Matrix factorisations and quantum error correcting codes

摘要: Matrix factorisations give a natural notion of “morphism” between isolated hypersurface singularities. We explain in a simple example how the composition of these morphisms has an internal structure related to quantum error correcting codes.

 

15:30-16:30

 

André Henriques (University of Oxford)

 

报告题目: The complex cobordism 2-category and its central extensions

报告摘要: I will introduce a symmetric monoidal 2-category whose objects are 0-manifolds, whose 1-morphisms are 1-dimensional smooth cobordisms, and whose 2-morphisms are Riemann surfaces with boundary and cusps. I will introduce a certain central extension by R+ and explain its relevance in chiral conformal field theory. Finally, I will explain the state of my understanding on the question of classification of such extensions by R+

17:00-18:00

 

 

 

  人:郇真(华中科技大学),孙浩

数学学院

2022年7月14日