Categorical joins -- Alexander Perry, September 9, 2016

Homological projective duality is a powerful theory developed by Kuznetsov for studying the derived categories of varieties. It can be thought of as a categorification of classical projective duality. I will describe a categorification of the classical join of two projective varieties, its relation to homological projective duality, and some applications. This is joint work with Alexander Kuznetsov.