Back to Algebraic Geometry Seminar: Fall 2018
Algebraic Geometry Seminar
Date: Tuesday, Sep 18, 2018
Time: 3:30PM - 4:30PM
Location: LCB 222
Pablo Solis
Stanford University
Title |
Natural Cohomology on P1 x P1 |
Abstract |
I’ll begin with a discussion of the classification of vector bundles on P1 and explain what natural cohomology means in this context. Then I’ll consider the case of vector bundles on P1 x P1. In general vector bundles on surfaces are more complicated but a useful tool allows one to reduce many problems about vector bundles to questions of linear algebra. This is the theory of monads. I’ll discuss monads and show how they are used to prove a conjecture of Eisenbud and Scheryer about vector bundles on P1 x P1 with natural cohomology. |
Algebraic Geometry