Homological Mirror Symmetry for a Calabi-Yau hypersurface in projective space

Friday, October 12, 2012 -
4:30pm to 5:30pm
We prove homological mirror symmetry for a smooth Calabi-Yau hypersurface in projective space. In the one-dimensional case, this is the elliptic curve, and our result is related to that of Polishchuk-Zaslow; in the two-dimensional case, it is the K3 quartic surface, and our result reproduces that of Seidel; and in the three-dimensional case, it is the quintic three-fold. After stating the result carefully, we will describe some of the techniques used in its proof, and draw lots of pictures in the one-dimensional case.
Speaker: 
Nick Sheridan
Princeton University and IAS
Event Location: 
Fine Hall 322