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SUMMARY:Roman Bezrukavnikov (MIT)
DTSTART:20200422T203000Z
DTEND:20200422T213000Z
DTSTAMP:20260423T021038Z
UID:MITLie/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITLie/5/">C
 anonical bases and coherent sheaves</a>\nby Roman Bezrukavnikov (MIT) as p
 art of MIT Lie groups seminar\n\nLecture held in 2-142.\n\nAbstract\nThe p
 rimary application of canonical bases in a Grothendieck group of\nrepresen
 tations is to computation of characters of (say) irreducible\nrepresentati
 ons\; however\, it is not their only application.  I will\nreview construc
 tion and properties of canonical bases in Grothendieck\ngroups of coherent
  sheaves on the Springer resolution and related\nspaces and speculate on p
 ossible generalization to a new setting\ninvolving the fixed group of an i
 nvolution. The toolbox includes\nlinear Koszul duality of Mirkovic-Riche a
 nd a version of Soergel\nbimodules theory.\n
LOCATION:https://researchseminars.org/talk/MITLie/5/
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