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Geometry, Symmetry and Physics Seminar

Exterior algebras and local mirror symmetry

Jack Smith, Cambridge

Location:  Webex - email organizers
Date & time: Thursday, 23 April 2020 at 2:00PM - 3:00PM

The exterior algebra plays an important role in mirror symmetry, as the Floer algebra of a Lagrangian torus bounding no holomorphic discs and as the Ext-algebra of the corresponding smooth point on the mirror.  In the presence of holomorphic discs one obtains an A-infinity deformation of this picture, and I'll explain how to classify such deformations under a monotonicity hypothesis.  This leads to a simple proof that the Floer algebra of a monotone torus is the endomorphism algebra of the expected matrix factorization of its superpotential, as well as a purely algebraic result generalizing the classification of Clifford algebras by quadratic forms.

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