Semiorthogonal decompositions for representations of algebraic groups – Programme
All talks will be given in room M4-122/126, coffee breaks take place in room M4-112.
Please find further documents below.
Monday 1 September, 2025
Day 1: Background
| 9:00 | – | 9:30 | Registration | |
| 9:30 | – | 10:30 | Juan Omar Gomez Affine (reductive) group schemes | |
| Coffee break | ||||
| 11:15 | – | 12:15 | Antoine Touzé Rational cohomology of algebraic groups | |
| Lunch break | ||||
| 14:00 | – | 15:00 | Kostiantyn Tolmachov Highest weight category structure on Rep(G) | |
| Coffee break | ||||
| 15:45 | – | 16:45 | Dmitry Kubrak Highest weight category structures on Rep(B) |
Tuesday 2 September, 2025
Day 2: T-equivariant K-theory of G/B and B-cohomology vanishing theorems
| 9:30 | – | 10:30 | Alexey Ananyevskiy Steinberg basis. Schubert basis and dual Schubert cell basis. Pairing. Orthogonality of two bases with respect to the pairing | |
| Coffee break | ||||
| 11:15 | – | 12:15 | Wilberd van der Kallen Triangularity theorem | |
| Lunch break | ||||
| 14:00 | – | 15:00 | Dmitry Kubrak B-cohomology vanishing statements | |
| Coffee break | ||||
| 15:45 | – | 16:45 | Kostiantyn Tolmachov G-linear categories and G-linear semiorthogonal decompositions | |
| 19:00 | – | Dinner at Café Restaurant im Bürgerpark — Google Maps |
Wednesday 3 September, 2025
Day 3: Semiorthogonal decompositions of Db(rep(B)) as a G-linear category
| 9:30 | – | 10:30 | Alexey Ananyevskiy Generating the categories rep(B) and Db(rep(B)) | |
| Coffee break | ||||
| 11:15 | – | 12:15 | Andreas Krug Cut at p ∈ W. The construction of objects Xp, p ∈ W | |
| Lunch break | ||||
| 14:00 | – | 15:00 | Marco Rampazzo Cohomological properties of the objects Xp, p ∈ W. Full exceptional collections on G/B | |
| Coffee break | ||||
| 15:45 | – | 16:45 | Stefan Dawydiak Parabolic Steinberg basis and full exceptional collections on G/P |
Thursday 4 September, 2025
Research talks. Emerging connections to geometric representation theory
| 10:00 | – | 11:00 | Alexey Ananyevskiy On the semiorthogonal decompositions for twisted flag varieties | |
| 11:15 | – | 12:15 | Stefan Dawydiak The Steinberg basis and the asymptotic Hecke algebra | |
| Lunch break | ||||
| 14:00 | – | 15:00 | Dmitry Kubrak Singular cohomology of BG via representation theory | |
| 15:15 | – | 16:15 | Alexander Samokhin On the irreducible objects in the heart of a representation-theoretic t-structure on the Springer resolution |