Number Theory SeminarExport this event to calendar

Tuesday, May 22, 2018 — 10:30 AM EDT

Yifan Yang, National Taiwan University

"Equations of Shimura curves"

Shimura curves are generalizations of classical modular curves. Because of the lack of cusps on Shimura curves, there are very few explicit methods for Shimura curves. In this talk, we will introduce Borcherds forms and use them to determine the equations of Shimura curves. The construction of Borcherds forms is done by solving certain integer programming problems. This is a joint work with Jia-Wei Guo.

MC 5403

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