Mathematics Colloquium
Date:Lincoln NE 68508
Affiliation: Bilkent University
Local Hosts: Lucho Avramov and Srikanth Iyengar
Title: Modular invariant rings
Additional Public Info:
<b>Abstract</b>: Let R:=F[x_1,…,x_n] denote the polynomial ring in n variables
over a field F. A subgroup G of the general linear group GL_n(F) acts on
the span of the x_i by linear transformations. This action extends to an
action on R by degree preserving ring automorphisms. The ring of
invariants, R^G, is the subalgebra in R of polynomials that is fixed by
this action. Invariant theory is interested in the structure of R^G and in
finding connections between properties of G and R^G. A main goal is to
construct R^G by computing generators. We discuss a variety of results and
examples with particular attention to the modular case that is when G is
finite and its order is divisible by the characteristic of F.
Refreshments will be served in 348 Avery 3:30-4:00 pm.
The talk is free and open to the public.
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