NT & AG Lunch: Michael Temkin, "Explicit Class Field Theory"

In a series of talks I will describe in the chronological order all cases where an explicit construction of CFT is known: 0. The multiplicative group and Kronecker-Weber -- the case of Q. 1. Elliptic curves with complex multiplication and Kronecker's Jugendraum -- the case of imaginary quadratic extensions. 2. Formal O-models of Lubin-Tate -- the local case. 3. Drinfeld's elliptic modules -- the function field case. \infinity. Extending this to real quadratic fields and, more generally, solving Hilbert's problem 12 will be left to the audience as an exercise.

Date: 

Mon, 08/04/2019 - 13:00 to 14:00

Location: 

Faculty lounge, Math building