What is … a Modular form?

This page hosts information on Anil Aryasomayajula's talk "What is … a Modular form?" at the "What is …?" seminar. The talk will take place on Friday, April 15, 11:45am at the BMS Loft at Urania to better prepare you for the the BMS Friday Kovalevskaya lecture by Katrin Bringmann, which begins at 2pm.

!!*Please note the special time! We will begin promptly at 11:45am.*!!

We will be ordering pizza. If you would like to order pizza with us, please arrive before 11:45.

Abstract

Modular forms are complex analytic functions on the upper half plane satisfying a certain kind of functional equation and growth condition. In this talk we see how the theory of modular forms answers a classical problem in number theory, namely: "Which natural numbers can be represented as the sum of four squares, and in how many ways can that be done."

Video

The video for Anil's talk can be found at http://www.vimeo.com/23635470.

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