Combinatorics of Weyl Groups and Kazhdan-Lusztig Polynomials

Add to your list(s) Download to your calendar using vCal

• Matthew Clarke (Cambridge)
• Friday 21 May 2010, 10:00-11:00
• MR9.

If you have a question about this talk, please contact Matthew Clarke.

I aim to offer a gentle introduction to Hecke algebras and Kazhdan-Lusztig polynomials. I will define from scratch prerequisite concepts such as Coxeter and Weyl groups and (crystallographic) root systems, before introducing Hecke algebras and the Kazhdan-Lusztig basis and providing some background information. The focus of the talk will then shift to matters concerning the explicit computation of the associated Kazhdan-Lusztig polynomials and I will do either S_3 or D_8 as an example. This talk has been prepared (together with Jay Taylor, Aberdeen) as an instructional (rather than a research) talk, to be given at the forthcoming workshop “Sheaves in Representation Theory” (Isle of Skye).

This talk is part of the Junior Algebra/Logic/Number Theory seminar series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• Junior Algebra/Logic/Number Theory seminar
• MR9
• School of Physical Sciences
• bld31
• ndb35's list

Note that ex-directory lists are not shown.