BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Aaron Mazel-Gee (Caltech)
DTSTART:20230221T213000Z
DTEND:20230221T230000Z
DTSTAMP:20260422T174005Z
UID:tandg/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tandg/2/">To
 wards knot homology for 3-manifolds</a>\nby Aaron Mazel-Gee (Caltech) as p
 art of Topology and Geometry Seminar (Texas\, Kansas)\n\n\nAbstract\nThe J
 ones polynomial is an invariant of knots in R^3. Following a proposal of W
 itten\, it was extended to knots in 3-manifolds by Reshetikhin–Turaev us
 ing quantum groups. Khovanov homology is a categorification of the Jones p
 olynomial of a knot in R^3\, analogously to how ordinary homology is a cat
 egorification of the Euler characteristic of a space. It is a major open p
 roblem to extend Khovanov homology to knots in 3-manifolds. In this talk\,
  I will explain forthcoming work towards solving this problem\, joint with
  Leon Liu\, David Reutter\, Catharina Stroppel\, and Paul Wedrich. Roughly
  speaking\, our contribution amounts to the first instance of a braiding o
 n 2-representations of a categorified quantum group. More precisely\, we c
 onstruct a braided (∞\,2)-category that simultaneously incorporates all 
 of Rouquier's braid group actions on Hecke categories in type A\, articula
 ting a novel compatibility among them.\n
LOCATION:https://researchseminars.org/talk/tandg/2/
END:VEVENT
END:VCALENDAR