Seminar des SFB/TRR 326 GAUS Algebraicity of critical Hecke L-values
- Freitag, 12. Dezember 2025, 13:30 Uhr
- INF 205, SR A
- Prof. Dr. Johannes Sprang (Universität Duisburg-Essen)
Adresse
INF 205, SR A
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Veranstaltungstyp
Vortrag
Euler's beautiful formula for the values of the Riemann zeta function at the positive even integers can be seen as the starting point of the investigation of special values of L-functions.
In particular, Euler's result shows that all critical zeta values are rational up to multiplication with a particular period, here the period is a power of 2πi. Conjecturally this is expected to hold for all critical L-values of motives. In this talk, I will explain a joint result with Guido Kings on the algebraicity of critical Hecke L-values up to explicit periods for totally imaginary fields. As an application, I will discuss the construction of p-adic L-functions for such fields.