School of Mathematics Colloquium

No Title

by Prof. George Lusztig (Massachusetts Institute of Technology, USA)

Thursday, December 26, 2013 from to (Asia/Kolkata)
at Colaba Campus ( AG-69 )
Description
This talk is based in part on a joint work with D. Vogan. The set of 
involutions in a Weyl group (for example the symmetric group) can be viewed as a basis of a vector space on which the Weyl group acts. This representation of the Weyl group can be deformed to a q-analogue which is a representation of the Hecke algebra. From this representation one can extract some new polynomials indexed by a pair of involutions which generalize the polynomials introduced in 1979 in my paper with Kazhdan.