University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Tropical Lagrangians and mirror symmetry

Tropical Lagrangians and mirror symmetry

Add to your list(s) Download to your calendar using vCal

  • UserJeff Hicks, Berkeley & ETH
  • ClockWednesday 21 November 2018, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Ivan Smith.

Homological mirror symmetry predicts that the Fukaya category of a symplectic manifold X can be matched with the derived category of coherent sheaves on a mirror space Y. The Strominger-Yau-Zaslow conjecture states that X and Y should have dual Lagrangian torus fibrations, and that mirror symmetry can be recovered by reducing the symplectic and complex geometry of X and Y to tropical geometry on the base of the fibration. In this framework, we expect that Lagrangian fibers of X are mirror to skyscraper sheaves of points on Y, and that Lagrangian sections of the fibration are mirror to line bundles on Y. I will explain how to extend these correspondences to tropical Lagrangians in X and sheaves supported on cycles of intermediate dimension on toric varieties.

This talk is part of the Differential Geometry and Topology Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity