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Colloquium Series Seminar

Complex multiplication, from Abel to Zagier
Tuesday, March 26, 2019
4:00-5:00 PM
1360 East Hall Map
According to Hilbert, the theory of complex multiplication is not only the most beautiful part of mathematics but also of all science. Complex multiplication refers to a lattice in the complex numbers (or an elliptic curve) which admits endomorphisms by a ring larger than the integers. We will begin with Kronecker's "Jugendtraum" -- the use of complex multiplication to solve Hilbert's twelfth problem. This will lead us into a discussion of some fascinating work by Gross and Zagier on the j-invariants of elliptic curves with complex multiplication. We will conclude with some recent work on the modular curve "at infinite level", which is a perfectoid space, and the unexpected role that complex multiplication plays in its geometry. Speaker(s): Jared Weinstein (Boston University)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics