Sasha Zotine (Queen's University)


Monday September 11, 2023
4:30 pm - 5:30 pm


Jeffery Hall, Room 422

Algebra & Geometry Seminar

Monday, September 11th, 2023

Time: 4:30 p.m.  Place: Jeffery Hall, Room 422

Speaker: Sasha Zotine (Queen's University)

Title: Computing Higher Direct Images of Toric Morphisms

Abstract: Sheaf cohomology is a ubiquituous tool in algebraic geometry for understanding the structure of varieties---but how does one actually get one's hands on cohomology? In this talk, I will discuss computing sheaf cohomology (and higher direct images) of toric varieties, which translate geometry into combinatorics. This translation is far more accessible and amenable to computation, allowing us to get a more tangible grasp of the abstract constructions. In particular, I implemented an algorithm for computing the higher direct images of toric morphisms for line bundles in Macaulay2, which I will demonstrate.