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SUMMARY:Exterior algebras and local mirror symmetry - Jack Smith\, Univers
 ity of Cambridge
DTSTART:20200129T141500Z
DTEND:20200129T151500Z
UID:TALK134725@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:In mirror symmetry\, points in a variety correspond to Lagrang
 ian tori in the mirror symplectic manifold.  In the absence of "quantum co
 rrections" the Ext-algebra of a point is equated with the cohomology algeb
 ra of the corresponding torus - both are simply exterior algebras - but in
  general one has to consider deformations of this picture.  In this talk I
 'll introduce the localised mirror functor of Cho\, Hong and Lau\, which t
 ranslates deformations of this sort into the algebro-geometric language of
  matrix factorisations\, and show how this leads to an easy proof that loc
 al mirror symmetry near a (monotone) Lagrangian torus is essentially tauto
 logical.
LOCATION:CMS MR13
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