Seminar Room 1, Newton Institute
Let X be a variety endowed with an action of an algebraic group G acting with finitely many orbits. "Staggered sheaves" are certain complexes of G-equivariant coherent sheaves on X, generalizing the "perverse coherent sheaves" of Deligne and Bezrukavnikov. They form an abelian category that has many remarkable algebraic properties resembling those of l-adic perverse sheaves. In particular, this category is quasi-hereditary and admits a mixed structure. If time permits, I will describe some small examples. Some of these results are joint work with David Treumann.