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.
Joint IAS/Princeton University Number Theory Seminar
Explicit formulae for Stark Units and Hilbert's 12th problem
Date & Time
October 11, 2018 | 4:30 – 5:30pm
Simonyi Hall 101