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SUMMARY:Representation theory and the Coulomb branch - Ben Webster (Univer
 sity of Virginia)
DTSTART:20170627T133000Z
DTEND:20170627T143000Z
UID:TALK73084@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:For many years\, my collaborators and I tried to understand th
 e Coulomb branches of certain field theories from physics and failed miser
 ably. Luckily\, recent work of Braverman-Finkelberg-Nakajima gives a mathe
 matical construction of these spaces\, and algebras quantizing them. I&#39
 \;ll discuss an approach to the representation theory of these algebras (b
 uilding on joint work with Braden-Licata-Proudfoot and many other authors)
 . Applications include a version of the Koszul duality between the Higgs a
 nd Coulomb branches of such a theory\, a new perspective on category O for
  Cherednik algebras\, and a new understanding of coherent sheaves on Coulo
 mb branches in terms of KLR algebras.<br><br>Related Links<ul><li><a targe
 t="_blank" rel="nofollow" href="http://www-old.newton.ac.uk/cgi/http%3A%2F
 %2Fpeople.virginia.edu%2F~btw4e%2Fsymplectic-duality.pdf">http://people.vi
 rginia.edu/~btw4e/symplectic-duality.pdf</a> - Related preprint</li><li><a
  target="_blank" rel="nofollow" href="http://www-old.newton.ac.uk/cgi/http
 %3A%2F%2Fpeople.virginia.edu%2F~btw4e%2FUNC-2016.pdf">http://people.virgin
 ia.edu/~btw4e/UNC-2016.pdf</a> - Draft slides</li></ul>
LOCATION:Seminar Room 1\, Newton Institute
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