BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Sasha Minets (Max Planck Institute for Mathematics) DTSTART:20251119T080000Z DTEND:20251119T093000Z DTSTAMP:20260422T161057Z UID:HKUST-AG/81 DESCRIPTION:Title: Ersatz parity sheaves and stratifications of algebras\nby Sasha Mine ts (Max Planck Institute for Mathematics) as part of Algebra and Geometry Seminar @ HKUST\n\nLecture held in Room 3598 (Lift 27/28).\n\nAbstract\nMa ny important algebras\, notably quiver Hecke algebras\, can be realized as Ext-algebras of constructible sheaves on a given space. Since representat ion theorists like highest weight categories\, they want to know when such algebras are quasi-hereditary (or polynomially quasi-hereditary\, or prop erly stratified\, etc). In characteristic 0\, Kato proved a rather general result of this sort\, under the assumption that the space has finitely ma ny orbits under the action of an algebraic group. This was extended to cha racteristic p by McNamara\, substituting perverse sheaves techniques for p arity sheaves of Juteau-Mautner-Williamson. Unfortunately\, this approach do not apply to quiver Hecke algebras beyond Dynkin type. I will explain h ow to extend the theory of parity sheaves to cover the first non-trivial c ase of Kronecker quiver\, and speculate about how to approach other affine types. Based on arXiv:2504.17430\, joint with R. Maksimau.\n LOCATION:https://researchseminars.org/talk/HKUST-AG/81/ END:VEVENT END:VCALENDAR