Mathematics Colloquium

Diophantine equations, L-functions, and Shimura varieties

Yifeng Liu, Department of Mathematics, Northwestern University,

Tea will be in Rm 120 of Bldg. 15 at 3:15 pm

Diophantine equations have very long history in the study of mathematics. In modern number theory, various tools from algebraic geometry, complex analysis, representation theory are used to study these equations. In particular, the use of moduli spaces like Shimura varieties is crucial in the story. In this talk, I will explain how these methods are involved via examples of elliptic curves and some of their generalization, from classical results to recent progress.

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For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].