Orlov's Theorem for Smooth Proper Varieties

Abstract: Orlov proved in 1996 that many functors between derived categories of smooth projective varieties are represented by kernels, i.e., complexes on the product. Since then, Orlov's theorem has had a profound influence on algebraic geometry. In this talk, we discuss Orlov's proof as well as some technical advances and new ideas which shed light on it, leading to an extension of the theorem to the smooth proper case.

algebraic geometry

Audience: researchers in the discipline

American Graduate Student Algebraic Geometry Seminar

Series comments: The American Graduate Student Algebraic Geometry Seminar (AGSAGS) is a virtual seminar by and for algebraic geometry graduate students.

The goal of this seminar is for graduate students to share their research through online talks and to provide an algebraic geometry graduate networking system. Grad students, postdocs, and professors are welcome to attend.

Seminars will be held on Mondays at 4 p.m. Eastern on Zoom. We hope this time is convenient for graduate students in the Americas, hence the name AGSAGS. Prior registration is required and interested participants should register here: sites.google.com/view/agsags/registration. In addition to graduate talks, there will be occasional social events.