n-affine braid groups

Thursday, February 23, 2017 - 12:00
427 Thackeray Hall
Speaker Information
Bogdan Ion

Abstract or Additional Information

I will introduce (topologically) the concept of braid group associated to an n-extended affine Lie algebra and describe some of their properties. In particular, I will explain the emergence of outer actions of congruence groups on n-affine braid groups (and Hecke algebras) and how can this potentially lead to a new source of modularity. This is joint work with S. Sahi.

Research Area