Triangulated Categories in Algebra, Geometry and Topology


All talks will take place in room 321 in the Institute of Mathematics, Polish Academy of Sciences.

Monday, 16th of June

9:15 Registration
9:30 Agnieszka Bodzenta, Introduction to triangulated categories
Coffee Break
11:00 Arend Bayer, Introduction to stability conditions
12:00 Lunch
13:30 Alexey Bondal, tba
14:45 Andrzej Weber, Perverse sheaves
15:45 Coffee Break
16:15 David Ploog, Triangulated categories of singularities
Tuesday, 17th of June
9:30 Arend Bayer, Applications to categorical and geometric questions
10:30 Coffee Break
11:00 Andreas Krug, The Bridgeland-King-Reid / Haiman equivalence and some consequences
12:00 Lunch
13:30 Alexey Bondal, tba
14:45 Stanisław Betley, Triangulated structure on stable homotopy category - possible applications
Coffee Break
16:15 Marcin Chałupnik, Koszul duality for modular representations of GL_n
18:00 Conference dinner
Wednesday, 18th of June
9:30 Marcin Chałupnik, Affine polynomial functors and formal DG-categories
10:30 Coffee Break
11:00 Maciej Zdanowicz, Cotangent complex and its applications
12:15 Timothy Logvinenko, On DG-enhancements of derived categories of coherent sheaves


David Ploog, Triangulated categories of singularities

Singular rings or varieties have notably worse homological properties than regular ones. Nonetheless, there are several approaches how to associate good cohomological invariants, including triangulated categories, to them. In this talk, we will mention two such methods.