Math 290 - Seminar on Mirror Symmetry - Spring 2013

D. Auroux - Tuesdays, 3:30-5pm, Room 736 Evans


This seminar will revisit the themes of past seminars (see here and here) on geometric aspects of mirror symmetry, the SYZ conjecture, and homological mirror symmetry.

The details will be up to participants; a possible plan is to begin with a review of Lagrangian Floer homology and Fukaya categories, then study Abouzaid and Seidel's work on the wrapped Fukaya category, as well as some papers on mirror symmetry for curves (pairs of pants, genus 2 curves, etc). There will also be a few special talks with guest lecturers.

Prerequisite: some knowledge of symplectic geometry.

What's happening


  1. D. Auroux, A beginner's introduction to Fukaya categories, arXiv: 1301.7056.
  2. M. Abouzaid, A geometric criterion for generating the Fukaya category, Publ. Math. IHES 112 (2010), 191-240; arXiv:1001.4593.
  3. M. Abouzaid, D. Auroux, A. Efimov, L. Katzarkov, D. Orlov, Homological mirror symmetry for punctured spheres, arXiv:1103.4322.
  4. P. Seidel, Homological mirror symmetry for the genus two curve, J. Algebraic Geometry 20 (2011), 727-769; arXiv:0812.1171.
  5. D. Auroux, Special Lagrangian fibrations, wall-crossing, and mirror symmetry, Surveys in Differential Geometry, Vol. 13, Intl. Press, 2009, 1-47; arXiv:0902.1595.