SMS scnews item created by Anthony Henderson at Wed 12 May 2010 1556
Type: Seminar
Distribution: World
Expiry: 21 May 2010
Calendar1: 21 May 2010 1205-1255
CalLoc1: Carslaw 175
CalTitle1: Algebra Seminar: Stapledon -- Representations of hypersurfaces and equivariant Ehrhart theory
Auth: anthonyh@bari.maths.usyd.edu.au

Algebra Seminar

Representations of hypersurfaces and equivariant Ehrhart theory

Alan Stapledon

21st May, 12:05-12:55pm, Carslaw 175

 

Abstract

We give an explicit description of the representations of a finite group acting on the cohomology of a `general' invariant hypersurface in a toric variety. We show how this naturally leads to an equivariant generalization of Ehrhart theory, the study of lattice points in dilations of lattice polytopes, and prove several equivariant versions of classical results. As an example, we show how the representations of a Weyl group acting on the cohomology of the toric variety associated to a root system naturally appear.


After the seminar we will take the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

Anthony Henderson anthonyh@maths.usyd.edu.au.



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