Braid group actions, matrix factorizations and link invariants

Tina Kanstrup
(Universität Bonn)
Seminar
Wednesday, 15 November, 2017, at 16:30-17:30, in Aud. D3 (1531-215)
Abstract:
The main part of the talk is joint work with S. Arkhipov. We establish an equivalence between the derived category of coherent sheaves on a certain kind of DG-schemes and the absolute derived category of matrix factorizations. One example of such is the derived category of coherent sheaves on the Steinberg variety, which has a braid group action constructed by Bezrukavnikov and Riche. We transfer this action to the corresponding matrix factorization category. In the last part of the talk I will report on joint work in progress with R. Bezrukavnikov relating this to link invariants.
Organised by: QGM
Contact person: Cristiano Spotti, Martin de Borbon & Roberta Iseppi