Back to Algebraic Geometry Seminar: Spring 2025
Algebraic Geometry Seminar
Date: Wednesday, Jan 22, 2025
Time: 3:30PM - 4:30PM
Location: LCB 225
Wednesday (joint with CA) 2:00pm
Claudiu Raicu
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. |
Algebraic Geometry