Kuang Yu Wu : Toric vector bundles

Posted by Yeqin Liu , part of the Graduate Algebraic Geometry Seminar.

At

Sept. 8, 2021, 4 p.m.

In

636 SEO

Abstract

Toric vector bundles are vector bundles on toric varieties equipped with an equivariant toric action. In this talk, I will demonstrate how the data of a toric vector bundle can be encoded in a vector space together with a collection of filtrations (Klyachko's Classification Theorem), and then talk about how this can be used to study various invariants of toric vector bundles, such as positivity and chern classes.