清华主页 EN
导航菜单

Modern Mathematics Lecture Series Representation theory and a little bit of quantum field theory

来源: 11-11

时间:Fri., 9:30 -10:30 am, Nov.11

地点:Zoom:ID: 271 534 5558;PW: YMSC

主讲人:Prof. Ben Webster

Abstract

One of the central foci of representation theory in the 20th century was the representation theory of Lie algebras, starting with finite dimensional algebras and expanding to a rich, but still mysterious infinite dimensional theory. In this century, we realized that this was only one special case of a bigger theory, with new sources of interesting non-commutative algebras whose representations we’d like to study such as Cherednik algebras. In mathematical terms, we could connect these to symplectic resolutions of singularities, but more intriguing explanation is that they arise 3-d quantum field theories. I’ll try to provide an overview about what’s known about this topic, and what we’re still confused about.


Speaker:

Ben Webster is an Associate Professor in Pure Mathematics at the University of Waterloo, and an Associate Faculty member at Perimeter Institute. His areas of expertise include geometric representation theory, diagrammatic algebra and low-dimensional topology. He received his BA in 2002 from Simon's Rock College. He received his Ph.D. in 2007 from the University of Calfornia, Berkeley and went on to postdoctoral positions at the Institute for Advanced Study and MIT before coming to Waterloo in 2017. He's been the recipient of an NSF CAREER award and an Alfred P. Sloan fellowship.

返回顶部
相关文章
  • Modern Mathematics Lecture Series | Percolation Theory: Some Open Problems

    Speaker Charles M. NewmanSilver Professor of Mathematics,New York UniversityBorn in Chicago in 1946, Professor Charles M. Newman received two B.S. (1966) degrees (Mathematics and Physics) from MIT, and M.A. (1966) and Ph.D. (1971) degrees in Physics from Princeton. His specialties are probability theory and statistical physics, with over 200 published papers in those and related areas. Beginnin...

  • Modern Mathematics Lecture Series | Dynamics on character varieties and Hodge theory

    AbstractLet X_n be the set of tuples of 2x2 matrices (A_1, A_2, ..., A_n) such that the product A_1...A_n is the identity matrix, and considered up to simultaneous conjugation. On each X_n, there is a very classical and explicit action of the so-called braid group B_n. This is an elementary case of the so-called mapping class group action on the character varieties of surface groups, and was st...