Jan Vonk (Leiden)

will speak on

Hilbert's 12th problem: A p-adic approach

Time: 3:00PM
Date: Tue 27th October 2020
Location: Online [map]

Further information

Abstract: *Note the irregular day and time*

The theory of complex multiplication (CM) occupies an important place in number theory, an early manifestation of which was the use of special values of the j-function in explicit class field theory of imaginary quadratic fields, and the works of Eisenstein, Kronecker, Weber, Hilbert, and many others. I will give an overview of some of the history of the subject of CM theory, and discuss an emerging 'RM theory' that arises when we replace the imaginary quadratic fields in CM theory with real quadratic fields, introduced in joint work with Henri Darmon.

Zoom Link: https://ucd-ie.zoom.us/j/5963025149?pwd=MFJQSG1GaDhaT2hQdzBjcURvVTYyZz09

Passcode: The numerator of Riemann zeta at -11.

(This talk is part of the Algebra and Number Theory series.)

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