Algebraic Geometry Seminar

Seminar information archive ~05/02Next seminarFuture seminars 05/03~

Date, time & place Friday 13:30 - 15:00 118Room #118 (Graduate School of Math. Sci. Bldg.)
Organizer(s) GONGYO Yoshinori, KAWAKAMI Tatsuro, ENOKIZONO Makoto

2015/12/14

15:30-17:00   Room #122 (Graduate School of Math. Sci. Bldg.)
Atsushi Kanazawa (Harvard)
Extending Hori-Vafa toric mirror symmetry via SYZ and modular forms (English)
[ Abstract ]
In this talk, I will introduce partial compactification for a class of toric Calabi-Yau manifolds. A fundamental question is how the Hori-Vafa toric mirror symmetry extends to this new class of Calabi-Yau manifolds. The answer leads us to a new connection between SYZ mirror symmetry and modular forms. If time permits, I will also discuss higher dimensional analogues of the Yau-Zaslow formula (for an elliptic K3 surface) in terms of Siegel modular forms. This talk is based on a joint work with Siu-Cheong Lau.