Amnon Neeman, Università di Milano

Title: On generalizations of an old theorem of Rickard's

Abstract: In 1989 Rickard published a couple of papers on Morita equivalence of
derived categories. We will begin with a quick review of his results.

The interest in this old result was revived in 2018 by Krause, who asked for improvements. Krause's question almost immediately led to a couple of results we will briefly review.

And then we will talk about very recent work, joint with Canonaco and Stellari, which goes much further in improving Rickard's theorem. This is work still in progress, in the sense that we are trying to sharpen and generalize the theorems that we can already prove.