Lectures for the general public

SAG: Homological Projective Duality for Grassmannian Gr(3,6)Seminar Algebraic Geometry (SAG)

by Lyalya Guseva

Europe/Berlin
MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

MPIM, Vivatsgasse, 7 - Lecture Hall

Max Planck Institute for Mathematics

120
Description

 

Abstract:  

Homological projective duality theory, introduced by Kuznetsov, is a powerful tool for investigating the bounded derived categories of projective varieties together with their linear sections. It provides interesting semiorthogonal decompositions as well as derived equivalences.

 

In this talk, I will give a brief introduction to this theory and describe how homological projective duality works in the case of Grassmannian Gr(3,6). This is joint work in progress with Vladimiro Benedetti.