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SUMMARY:A categorical approach to real Lie groups [MPIM]
DTSTART:20260917T130000Z
DTEND:20260917T140000Z
DTSTAMP:20260904T183700Z
UID:indico-event-1562@math-events.uni-bonn.de
DESCRIPTION:Speakers: Anna Romanov (UNSW Sydney/MPIM)\n\nMPI-Oberseminar\n
 The representation theory of real reductive Lie groups\, such as SL(2\,R)\
 , has played a fundamental role in mathematics for decades\, with beautifu
 l connections to number theory (through automorphic forms and the Langland
 s program)\, mathematical physics (through conservation laws and quantum s
 tates) and harmonic analysis (through nonabelian Fourier transform). Becau
 se of its varied applications\, it has been studied through many different
  lenses – there is a rich set of geometric\, algebraic\, and analytic to
 ols to describe admissible and unitary representations. In this talk\, I w
 ill discuss a categorical perspective on this classical story\, which emph
 ases the combinatorial role of the Weyl group and its subgroups. Specifica
 lly\, I will introduce an algebraic family of categories constructed from 
 only Weyl group data\, which encode information about characters of admiss
 ible representations of a real reductive group. These categories arise as 
 module categories over the monoidal category of Soergel bimodules.\n\nhttp
 s://math-events.uni-bonn.de/event/1562/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1562/
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