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UID:20250810T080132EDT-9426UL3A4d@132.216.98.100
DTSTAMP:20250810T120132Z
DESCRIPTION:Cluster theory of the coherent Satake category.\n\nABSTRACT :\n
 \nThe affine Grassmannian\, though a somewhat esoteric looking object at f
 irst sight\, is a fundamental algebro-geometric construction lying at the 
 heart of a series of ideas connecting number theory (and the Langlands pro
 gram) to geometric representation theory\, low dimensional topology and ma
 thematical physics.  Historically it is popular to study the category of c
 onstructible perverse sheaves on the affine Grassmannian.  This leads to t
 he *constructible* Satake category and the celebrated (geometric) Satake e
 quivalence.  More recently it has become apparent that it makes sense to a
 lso study the category of perverse *coherent* sheaves (the coherent Satake
  category).  Motivated by certain ideas in mathematical physics this categ
 ory is conjecturally governed by a cluster algebra structure.  We will ill
 ustrate the geometry of the affine Grassmannian in an elementary way\, dis
 cuss what we mean by a cluster algebra structure and then describe a solut
 ion to this conjecture in the case of general linear groups. \n\n \n\n \n
DTSTART:20180223T210000Z
DTEND:20180223T220000Z
LOCATION:Room PK-5115 \, CA\, Pavillon President-Kennedy\, 201 Ave. Preside
 nt-Kennedy
SUMMARY:Sabin Cautis (University of British Columbia)
URL:/mathstat/channels/event/sabin-cautis-university-b
 ritish-columbia-285178
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