|Date: Thursday, April 28, 2022
Location: https://umich.zoom.us/j/96274532499 (password: algebra) Virtual (4:00 PM to 5:00 PM)
Title: F-singularities of determinantal pairs
Abstract: It is a classic result of Hochster and Huneke that (generic) determinantal rings over a perfect field of positive characteristic have F-regular singularities. But what about the singularities of determinantal pairs? A determinantal pair (R,P) consists of a generic determinantal ring R and a standard height-1 prime ideal P generating the divisor class group of R (say, if R is defined by t-minors then P is generated by the (t-1)-minors of the first t-1 rows of variables defining R). It is natural to ask whether determinantal pairs have purely F-regular singularities, which is a generalized notion of F-regularity for pairs. In my talk, I will present an answer to this question. This is joint work with Arnaud Vilpert.
Speaker: Javier Carvajal-Rojas
Institution: EPFL (Ecole Polytechnique Federal de Lausanne)