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