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SUMMARY:A canonical global positioning system for Calabi Yau manifolds - S
 ean Keel (University of Texas Austin)
DTSTART:20140604T131500Z
DTEND:20140604T141500Z
UID:TALK52625@talks.cam.ac.uk
CONTACT:Dr. J Ross
DESCRIPTION:Gross\, Hacking and I conjecture that the vector space of regu
 lar\nfunction on a smooth affine manifold with a holomorphic volume form (
 of the\nright sort) comes with a canonical basis. I'll explain\, in langua
 ge\naccessible to a\nsecond year graduate student\,  the conjecture\, our 
 partial results --\nthe proof\nin dimension two\, and\, together with Kont
 sevich\, for cluster varieties\nof all dimension\,\nand some of the many a
 pplications\, to representation theory\,\nteichmuller theory\, mori\ntheor
 y\, symplectic geometry\, cluster algebras\, and mirror symmetry.\n
LOCATION:MR 13\, CMS
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