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Speaker:
Anne Shepler, University of North Texas
Title:
Invariant Theory Mod p: Matrix Groups Acting on Polynomials
Abstract:
Weyl states that Invariant Theory came into existence in the
middle of the nineteenth century "like Minerva: a grown-up
virgin, mailed in the shining armor of algebra, she sprang forth
from Cayley's Jovian head". Invariant theory has since fallen
in and out of fashion, and momentum now swings toward modular
invariant theory: the study of polynomials invariant under a
finite subgroup of GL(V) over a field of nonzero characteristic.
We will discuss the differences between modular and classical
invariant theory and then present some new results using the
underlying arrangement of "reflecting" hyperplanes.
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