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Joint IAS/Princeton University Number Theory Seminar

Explicit formulae for Stark Units and Hilbert's 12th problem

Hilbert’s 12th problem is to provide explicit analytic formulae for elements generating the maximal abelian extension of a given number field. In this talk I will describe an approach to Hilbert’s 12th that involves proving exact p-adic formulae for Gross-Stark units. This builds on prior joint work with Kakde and Ventullo in which we proved Gross’s conjectural leading term formula for Deligne-Ribet p-adic L-functions at s=0. This is joint work with Mahesh Kakde.

Featuring

Samit Dasgupta

Speaker Affiliation

Duke University

Affiliation

Mathematics

Event Series

Video

https://video.ias.edu/puias/2018/1011-SamitDasgupta
Date & Time
October 11, 2018 | 4:305:30pm

Location

Simonyi Hall 101

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