Personal tools
You are here: Home Events An arithmetic Riemann--Roch theorem for weighted pointed curves

An arithmetic Riemann--Roch theorem for weighted pointed curves

— filed under:

Anna von Pippich (Darmstadt)

What
  • SFB-Kolloquium
When Dec 11, 2014
from 03:30 pm to 04:30 pm
Where Mainz, 05-432 (Hilbertraum)
Add event to calendar vCal
iCal

Abstract. In this talk, we report on work in progress with Gerard Freixas generalizing

the arithmetic Riemann--Roch theorem for pointed stable curves to the case

where the metric is allowed to have conical singularities at the marked points.

One main analytical ingredient in the proof is the computation of special values

of certain spectral zeta functions associated to these points.

As particular arithmetic application we derive an analytic class number formula

for the Selberg zeta function of the group $\mathrm{PSL}_2(\mathbb{Z})$.

« March 2024 »
March
MoTuWeThFrSaSu
123
45678910
11121314151617
18192021222324
25262728293031