When

Start: 03/01/2017 - 4:15pm

End : 03/01/2017 - 5:15pm

End : 03/01/2017 - 5:15pm

Category

Colloquium

Speaker

Jacob Greenstein (UC Riverside)

Abstract

Canonical bases first appeared as Kazhdan-Lusztig bases in the study of Hecke

algebras which can be thought of as "q-deformations" of symmetric groups (or,

more generally, Coxeter groups). These are distinguished bases of an algebra

with prescribed invariance properties when q is replaced by its inverse. They

are also triangular with respect to some natural initial basis. Such bases

play an important role in algebra since Lusztig constructed them in quantum

groups in early 90-ies using geometric methods.

Where

Shanahan B460, Harvey Mudd College