SMS scnews item created by Anthony Henderson at Fri 29 Oct 2010 1600
Type: Seminar
Distribution: World
Expiry: 12 Nov 2010
Calendar1: 12 Nov 2010 1205-1255
CalLoc1: Carslaw 175
CalTitle1: Algebra Seminar: Henderson -- The toric variety of the symmetric group
Auth: anthonyh@bari.maths.usyd.edu.au

Algebra Seminar

The toric variety of the symmetric group

Anthony Henderson

12th November, 12:05-12:55pm, Carslaw 175

 

Abstract

The toric variety Tn associated to the reflecting hyperplanes of the symmetric group Sn is a nonsingular projective variety which occurs in several different contexts. One way to define it is as an iterated blow-up of (n-1)-dimensional projective space along coordinate subspaces. The cohomology of the complex locus Tn(C) is well understood; less so the (rational) cohomology of the real locus Tn(R). I will present some recent results on the representation of Sn on these cohomologies.


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