Department of Mathematics
Mathematics Colloquium - Spring 2012
Wednesday, April 4th, 2012
2:00pm - 3:00pm, in Science 2-064 Eduardo GonzálezUMass BostonSeidel Elements and Mirror Symmetry Transformations
Abstract:
Let $X$ be a non-singular projective toric variety whose
anti-canonical class is semipositive (nef). After giving an
introduction to the construction of the mirror symmetry
transformation, I will present work with Iritani regarding the
relation of such mirror symmetry transformations and certain
invertible elements in the quantum cohomology of $X$, known as Seidel
elements. I will present some conjectures that relate this work to
Lagrangian Floer Theory superpotentials introduced by
Fukaya-Ohta-Ono-Oh.
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