#### UM Math Graduate Students Seminar

Christopher Harris

University of Miami

will present

#### What is... a Modular Form?

Friday, February 4, 2011, 2:30pm

Ungar Building Room 402

Abstract:At first sight the definition of a modular form is quite opaque. We will provide context for this definition by discussing lattices in the complex plane and how modular forms can be viewed as certain "functions" on the moduli space of elliptic curves. We will also describe the structure of modular forms as a graded ring.

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