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Modular forms and their applications to number theory

Morten Hein Tiljeset
Lectures for students by students
Friday, 12 April, 2013, at 14:30, in Aud. D3 (1531-215)
Abstract:
Modular forms can be seen as high-tech gadgets with applications to several distinct areas of mathematics, most famously number theory. I will attempt to motivate the definition of modular forms as functions on lattices, and give a few examples as to how they can give us results in number theory. Finally, I will talk about their connection with elliptic curves and the Modularity theorem which was the key ingredient to the proof of Fermat's last theorem. Prerequisites: Equivalent to the bachelor courses in mathematics.
Contact person: Thomas Lundsgaard Schmidt