Back to Commutative Algebra Seminar: Spring 2024
Commutative Algebra Seminar
Date: Friday, Mar 22, 2024
Time: 2:00PM - 3:00PM
Location: LCB 215
Rankeya Datta
University of Missouri
Title |
Finite generation of split F-regular monoid algebras |
Abstract |
Conjectures about the finite generation of various classes of rings in function fields have been instrumental in the development of algebraic geometry and commutative algebra. In this talk we will introduce one such conjecture in prime characteristic using a variant of F-regularity, which is a prime characteristic analog of KLT singularities. We will mention the connection of this problem to other long-standing questions in the theory of F-singularities. Our main goal is to discuss evidence in favor of the conjecture by considering the class of algebras determined by lattice points inside convex cones of finite dimensional vector spaces. This talk is based on joint work with Karl Schwede and Kevin Tucker. |
Commutative Algebra