Zeta functions and L-series in positive characteristic

Determinants and special values

speaker: Lenny Taelman (University of Amsterdam)

abstract: I will explain how to prove Carlitz’s formula "\(\zeta(1) = log(1)\)" using trace formulas for vector bundles on the projective line, involving only finite-dimensional linear algebra and determinants (as opposed to the Dwork-style "functional analysis" in earlier work). The emphasis will not be on the result (which is one of the oldest in the subject), but rather on techniques that could be useful in much more general situations.

timetable:
Tue 27 Nov, 9:00 - 10:15, Sala Conferenze Centro De Giorgi
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