Back to Commutative Algebra Seminar: Fall 2021
Commutative Algebra Seminar
Date: Tuesday, Nov 16, 2021
Time: 2:00PM
Location: LCB 222
Vaibhav Pandey
University of Utah
Title |
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. |
Commutative Algebra