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SUMMARY:Balázs Elek (Cornell University)
DTSTART:20200924T185000Z
DTEND:20200924T195000Z
DTSTAMP:20260423T005803Z
UID:GPRTatNU/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/7/"
 >Heaps\, Crystals and Preprojective algebra modules</a>\nby Balázs Elek (
 Cornell University) as part of Geometry\, Physics\, and Representation The
 ory Seminar\n\n\nAbstract\nKashiwara crystals are combinatorial gadgets as
 sociated to a representation of a reductive algebraic group that enable us
  to understand the structure of the representation in purely combinatorial
  terms. We will describe a type-independent construction of crystals of ce
 rtain representations\, using the heap associated to a fully commutative e
 lement in the Weyl group. Then we will discuss how these heaps also lead u
 s to the construction of modules for the preprojective algebra of the Dynk
 in quiver. Using the rank-nullity theorem\, we will see how the Kashiwara 
 operators have a surprisingly nice description in terms of these preprojec
 tive algebra modules. This is work in progress joint with Anne Dranowski\,
  Joel Kamnitzer\, Tanny Libman and Calder Morton-Ferguson.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/7/
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