Fall 2022 Topic:
Fall 2022 Topic:
Homological Mirror Symmetry for Elliptic Curves
Homological Mirror Symmetry for Elliptic Curves
For fall quarter, we will follow Polischuk and Zaslow's paper (reference 1) on the proof of the homological mirror symmetry conjecture in dimension 1. We will also take time to examine Aspinwall and Lawrence's paper (reference 3) to see how the derived category enters into the picture when describing string theory dynamics.
Schedule and speaker sign-ups can be found here: Speaker Sign-up Page
Resources:
Polischuk, A., Zaslow E. Categorical Mirror Symmetry: The Elliptic Curve. arXiv:9801119
Beauville, A. Theta Functions, Old and New online pdf
Aspinwall, Lawrence, Derived Categories and Zero-Brane Stability. arXiv:hep-th/0104147
Past Talks: