# The Fourier Transform and the Calculus of Residues

Date:

2015/06/10 Wed 16:30 - 17:30

Room:

Room 110, RIMS

Speaker:

Machiel van Frankenhuijsen

Affiliation:

Kyoto University & Utah Valley University

Abstract:

The introduction of Fourier analysis in number theory dates

back to Tate's thesis and at the time greatly clarified the

functional equation of L-series. For global function fields,

the local characters seem to be given by a residue. Lifting

to characteristic zero, we will see that this is indeed the

case. Back to number theory, we will give some speculations

how the characters, as originally defined by Tate in an ad

hoc manner, could be viewed as residues as well.