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Home » EGN Postdoc and student seminar: An example of homological mirror symmetry and counting curves

Seminar

EGN Postdoc and student seminar: An example of homological mirror symmetry and counting curves February 13, 2018 (10:30 AM PST - 11:30 AM PST)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Catherine Cannizzo (University of California, Berkeley)
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In this thesis we discuss progress towards proving homological mirror symmetry for the genus 2 curve in an abelian variety. We describe a fully faithful functor from the bounded derived category of coherent sheaves on the genus 2 curve to the Fukaya-Seidel (FS) category of an SYZ mirror constructed via methods of Auroux-Abouzaid-Katzarkov for hypersurfaces in toric varieties. In particular, part of the FS category construction involves counting curves.

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