10th January: David Angdinata

Title: Class number formula, à la Tate

Abstract: The analytic class number formula, as its name might suggest, relates the class number of a number field, an algebraic invariant, to the residue of its zeta-function, an analytic quantity. In his thesis, Tate reinterpreted such zeta-functions as global zeta-integrals over the locally compact topological group of idèles, where the class number formula becomes a relatively straightforward computation in Fourier analysis. This talk outlines an adèlic proof of the class number formula as an application of Tate’s thesis.