Seminar by Tina Kanstrup (Universität Bonn)

Title: Braid group actions, matrix factorizations and link invariants

2017.11.01 | Jane Jamshidi

Date Wed 15 Nov
Time 16:30 17:30
Location 1531-215 (Aud. D3)

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.