Back to Algebraic Geometry Seminar: Fall 2024
Algebraic Geometry Seminar
Date: Tuesday, Nov 5, 2024
Time: 3:30PM - 4:30PM
Location: LCB 222
Courtney George
University of California, Riverside
Title |
Toric Vector Bundles as Mori Dream Spaces |
Abstract |
Mori dream spaces, named for their ideal behavior in the Minimal Model Program, are (for the sake of this talk) projective, normal varieties with finitely-generated Cox rings. While there has been much progress in the identification of Mori dream spaces, no complete classification yet exists. Due to their relationship with toric varieties, we will narrow our search to a class of spaces called (projectivized) toric vector bundles. Here, we will describe both positive and negative results of toric vector bundles as Mori dream spaces, including some combinatorial and computational approaches. |
Algebraic Geometry