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SUMMARY:Mirror symmetry\, Langlands duality\, and the Hitchin system - Tam
 as Hausel (Oxford)
DTSTART:20091105T140000Z
DTEND:20091105T150000Z
UID:TALK21236@talks.cam.ac.uk
CONTACT:Burt Totaro
DESCRIPTION:I will introduce and survey progress on topological\nmirror sy
 mmetry conjectures for Hitchin systems\nof Langlands dual groups. I will p
 ropose that\nconsidering the perverse filtration for\nthe Hitchin map lead
 s to solutions to three\nbasic problems with the original picture:\nWhy tw
 o mirror symmetry conjectures? Why the same\nHodge numbers\, not mirrored 
 ones? Why geometric\nLanglands\, not classical Langlands?
LOCATION:MR4\, CMS
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