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SUMMARY:Hilbert's 12th problem via p-adic Galois deformations [MPIM]
DTSTART:20260723T130000Z
DTEND:20260723T140000Z
DTSTAMP:20260913T025700Z
UID:indico-event-1509@math-events.uni-bonn.de
DESCRIPTION:Speakers: Michael Daas (Universität Luxemburg)\n\nMPI-Obersem
 inar\nClass field theory describes the structure of all abelian field exte
 nsions of a number field\, and promises the existence of the so-called Hil
 bert class field.However\, its explicit construction has been a long stand
 ing open problem\, and doing this with the special values of arithmetic fu
 nctions is known as Hilbert's 12th problem.We discuss some cases in which 
 this problem has been solved\, including imaginary quadratic fields throug
 h CM theory and singular moduli.Finally\, we introduce novel p-adic constr
 uctions and outline a method to compute these special values using the p-a
 dic infinitesimal deformation theory of Eisenstein series and theta series
 .\n \n\nhttps://math-events.uni-bonn.de/event/1509/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1509/
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