Colloque 2015 du GDR 2875, Topologie Algébrique et Applications

On the deformation theory of dg-categories

21 oct. 2015, 15:40

50m

Amphi Schwartz, bat. 1R3 (Institut de Mathématiques de Toulouse)

Exposé de recherche sur proposition

Orateur

Anthony Blanc (MPI Bonn)

Description

This is work in progress with Ludmil Katzarkov, Pranav Pandit and Bertrand Toën. I will explain how to use the theory of formal moduli problems of Lurie to obtain a better understanding of the deformation theory of a dg-category up to Morita equivalence, based on previous work by Preygel. This leads to a finiteness result about any formal deformation of a smooth and proper dg-category.

Documents de présentation

Transparents

Blanc_GDR2015.pdf