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SUMMARY:Jonte Gödicke (Max-Plank-Institute for Mathematics)
DTSTART:20260311T080000Z
DTEND:20260311T093000Z
DTSTAMP:20260422T161047Z
UID:HKUST-AG/87
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/87/
 ">On a braided monoidal Hall 2-category</a>\nby Jonte Gödicke (Max-Plank-
 Institute for Mathematics) as part of Algebra and Geometry Seminar @ HKUST
 \n\nLecture held in Room 3598 (Lift 27/28).\n\nAbstract\nAppearing in diff
 erent incarnations\, Hall algebras play an important role in classical rep
 resentation theory. Broadly speaking\, the Hall algebra construction assoc
 iates to an abelian category $A$ an algebra of functions on the moduli of 
 objects $M(A)$ of $A$.\n\nThe goal of this talk is to describe a twofold c
 ategorification of the Hall algebra construction. This new construction as
 sociates to an abelian category $A$ a lax-braided monoidal 2-category of 2
 -sheaves on $M(A)$. Even in the simplest case of the abelian category of v
 ector spaces\, this construction yields a rich and highly structured objec
 t. Focusing on this example\, I will explain the construction in detail an
 d describe why it is desirable from the perspective of categorified repres
 entation theory.\n\nThis is joint work with Quoc Ho\, Yang Hu\, and Walker
  Stern.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/87/
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