Talk page

Title:
On categories O for quantized symplectic resolutions

Speaker:
Ivan Loseu

Abstract:
I will introduce quantizations of symplectic resolutions and their categories O that generalize classical BGG categories O in the representation theory of semisimple Lie algebras. Once a quantization is fixed, categories O are paramerized by chambers in a real vector space. The main result of this talk is that categories O for different chambers are derived equivalent (via so called cross-walling functors). Time permitting I will also discuss properties of these functors and their connection to Maulik-Okounkov geometric R-matrices. The talk is based on http://arxiv.org/abs/1502.00595.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=2425

Workshop:
Simons- Program: Geometric representation theory