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SUMMARY:Ivan Loseu (Yale University)
DTSTART:20241213T170000Z
DTEND:20241213T190000Z
DTSTAMP:20260423T024839Z
UID:Vinberg/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Vinberg/19/"
 >Quantizations and unitary representations</a>\nby Ivan Loseu (Yale Univer
 sity) as part of The Vinberg Lecture Series\n\n\nAbstract\nThe study of un
 itary representations of Lie groups is a classical subject in Representati
 on theory going back to Gelfand and Harish-Chandra. The main\, currently o
 pen\, problem is to classify the irreducible unitary representations of se
 misimple Lie groups. Thanks to the work of Kirillov and Kostant the questi
 on of classifying the irreducibles fits into Geometric quantization that s
 eeks to produce quantum mechanical systems from classical ones. In my talk
  I will explain some recent advances in Algebraic (a.k.a. Deformation) qua
 ntization of singular symplectic varieties and how they help to understand
  unipotent representations\, an important class of unitary representations
  that are expected to serve as building blocks. This is based on my solo w
 orks as well as joint papers with Dmytro Matvieievskyi\, Lucas Mason-Brown
  and Shilin Yu.\n
LOCATION:https://researchseminars.org/talk/Vinberg/19/
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