The Magic of Modular Forms 4/5

Zagier, Don (2015) The Magic of Modular Forms 4/5. [Video]

Video Don Zagier Lecture - Day 4-20150129.mp4 Restricted to Inside MPIM network or registered users only Download (232MB)

Abstract

The week-long series, to be delivered by renowned mathematician Don Zagier, will focus on "The Magic of Modular Forms." Zagier is also an ICTP Distinguished Staff Associate, teaching graduate courses and advising ICTP doctoral students.

Modular forms are functions having an infinite group of symmetries and many beautiful properties. They were originally discovered in the context of differential equations and then became very important in number theory, but are now ubiquitous in mathematics and also in many parts of physics. Each of the five lectures--which will be related but nevertheless largely independent of one another--will highlight a different one of their many appearances:

Classical modular forms and some of their applications in arithmetic
Modular forms, differential equations, and the irrationality of $\zeta(3)$
Quasimodular forms and counting problems in topology and group theory
Mock modular forms and the string theory of black holes
Quantum modular forms and quantum invariants of knots

Item Type:	Video
Subjects:	1 Discrete mathematics / algebra > 11-XX Number theory
Divisions:	Research > Talks
Depositing User:	Axel Roenn
Date Deposited:	31 Mar 2021 07:52
Last Modified:	31 Mar 2021 07:52
URI:	https://archive.mpim-bonn.mpg.de/id/eprint/4522

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