Ruprecht-Karls-Universität Heidelberg
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„Lower bounds on dimensions of mod-p Hecke algebras“
Dr. Anna Medvedovsky, MPI Bonn

In 2012, Nicolas and Serre revived interest in the study of mod-p Hecke algebras when they proved that the Hecke algebra acting on the space of all modular forms of level one mod 2 is the power-series ring F2[[T3, T5]]. Their technical yet elementary arguments do not appear to generalize directly to p> 2, but their tools — the Hecke recursion, the nilpotence filtration — form the backbone of a new method, uniform and entirely in characteristic p, for obtaining lower bounds on dimensions of mod-p Hecke algebras. I will present this new method, currently implemented in the genus-zero case only, and compare it to the Bellaiche-Khare-Deo method, which relies on characteristic-zero input. The key technical result is pure algebra in characteristic p; it appears to have connections to p-automata and may be of independent interest.

Freitag, den 27. Januar 2017 um 13:30 Uhr, in INF205, SR C Freitag, den 27. Januar 2017 at 13:30, in INF205, SR C

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Gebhard Böckle