Commutative Algebra Seminar
Vaibhav Pandey
University of Utah
Are natural embeddings of determinantal rings split?
Abstract: Over an infinite field, a generic determinantal ring is the
fixed subring of an action of the general linear group on a polynomial
ring; this is the natural embedding of the title. If the field has
characteristic zero, the general linear group is linearly reductive, and
it follows that the invariant ring is a split subring of the polynomial
ring. We determine if the natural embedding is split in the case of a
field of positive characteristic. Time permitting, we will address the
corresponding question for Pfaffian and symmetric determinantal rings.
This is ongoing work with Mel Hochster, Jack Jeffries, and Anurag Singh.
Wednesday February 9, 2022 at 3:00 PM in Zoom