清华主页 EN
导航菜单

Link homology and foams

来源: 12-16

时间:Fri., 10:00 -11:00 am, Dec.16,2022

地点:Fri., 10:00 -11:00 am, Dec.16,2022

主讲人:Mikhail Khovanov (Columbia University)

Abstract

Some of the better-known link homology theories are bigraded and categorify Reshetikhin-Turaev GL(N) link invariants. In the past few years foams have emerged as an explicit way to construct link homology theories. We will explain what foams are and how evaluation of foams leads to these explicit approaches to link homology.


Mikhail Khovanov

Columbia University

Mikhail Khovanov is a professor in the Mathematics Department at Columbia University who works on representation theory, knot theory, and algebraic topology. He is known for introducing Khovanov homology for links, which was one of the first examples of categorification.

Homepage:

https://www.math.columbia.edu/~khovanov/


返回顶部
相关文章
  • Introduction to Hochschild (co)homology

    Record: YesLevel: UndergraduateLanguage: ChinesePrerequisitehomological algebraAbstractThis lecture explores Hochschild cohomology as a Gerstenhaber algebra in detail, the notions of smoothness and duality, algebraic deformation theory, infinity structures, and connections to the Hochschild-Kostant-Rosenberg decomposition. Useful homological algebra background is provided as well.Reference1. H...

  • Modern Mathematics Lecture Series Tue. Unramified correspondance and virtual homology of mapping class groups

    Abstract:I shall discuss my recent work showing that the Bogomolov-Tschinkel universality conjecture holds if and only if the mapping class groups of a punctured surface is large (which is essentially the negation of the Ivanov conjecture about the mapping class groups). I will also discuss my recent work with O. Tosic regarding the closely related Putman-Wieland conjecture.Prizes and Distinct...