Back to Commutative Algebra Seminar: Spring 2025
Commutative Algebra Seminar
Date: Wednesday, Jan 22, 2025
Time: 2:00PM - 3:00PM
Location: LCB 222
joint with AG
Claudiu Raicu
University of Notre Dame
Title |
Cohomology on the incidence correspondence and related questions |
Abstract |
A fundamental problem at the confluence of algebraic geometry, commutative algebra, and representation theory is to understand the structure and vanishing behavior of the cohomology of line bundles on (partial) flag varieties. I will describe an answer in the case of the incidence correspondence (the partial flag variety consisting of pairs of a point in projective space and a hyperplane containing it), and highlight surprising connections to other questions of interest: the splitting of jet bundles on the projective line, the Han-Monsky representation ring, or Lefschetz properties for Artinian monomial complete intersections. This is based on joint work with Annet Kyomuhangi, Emanuela Marangone, and Ethan Reed. |
Commutative Algebra