A coherent-constructible correspondence for affine Springer fibers
Event details
Date | 23.09.2021 |
Hour | 14:15 › 16:00 |
Speaker | Oscar Kivinen (EPFL) |
Location | |
Category | Conferences - Seminars |
Event Language | English |
Affine Springer fibers are moduli spaces whose geometry plays an important role in a variety of things - for example orbital integrals on reductive groups, singularities of the Hitchin fibration, and representations of double affine Hecke algebras. The physics of 3d mirror symmetry suggests a certain equivalence of categories of constructible and coherent sheaves on a partial resolution of the commuting variety (PRCV), and following the physical heuristics it is possible to distill a particular case of this equivalence to a mathematical construction of a (quasi-)coherent sheaf on the PRCV, starting from an affine Springer fiber. In the first 30 minutes, I will give an elementary introduction to affine Springer fibers and related geometry. In the second part of the talk I will introduce BFN-Coulomb branches and the commuting variety, as well as explain the construction and some of its consequences in detail.
Practical information
- Informed public
- Free
Organizer
- Dimitri Wyss
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)