On the exotic t-structure in positive characteristic

Carl Mautner (1) , Simon Riche (2, 3)

1 UC Riverside - Department of Mathematics
2 LMBP - Laboratoire de Mathématiques Blaise Pascal
3 INSMI-CNRS - Institut National des Sciences Mathématiques et de leurs Interactions - CNRS Mathématiques

In this paper we study Bezrukavnikov's exotic t-structure on the derived category of equivariant coherent sheaves on the Springer resolution of a connected reductive algebraic group defined over a field of positive characteristic with simply-connected derived subgroup. In particular, we show that the heart of the exotic t-structure is a graded highest weight category, and we study the tilting objects in this heart. Our main tool is the "geometric braid group action" studied by Bezrukavnikov and the second author.

Domaines: Mathématiques [math]

Carl Mautner, Simon Riche. On the exotic t-structure in positive characteristic. International Mathematics Research Notices, 2016, 2016, pp.5727-5774. ⟨hal-01098152v3⟩