Seminar des SFB/TRR 326 GAUS

Prof. Dr. Ravi Ramakrishna, Cornell University

Not quite 40 years ago Mazur introduced the notion of deformation theory of mod p representations of profinite groups, particularly Galois groups. About 20 years ago a method was introduced to show that many two dimensional mod p representations of the absolute Galois group of Q lift to p-adic rings, often geometrically in the sense of Fontaine-Mazur. This provided evidence for (the then unproven) Serre’s Conjecture. Since then there have been a number of improvements and generalizations, most recently in the papers of Fakhruddin-Khare-Patrikis. I’ll give a survey of these results and their importance, e.g. in proving a version of Serre’s Conjecture in the residually reducible case.

Freitag, den 18. November 2022 um 13:30 Uhr, in INF 205, SR A Freitag, den 18. November 2022 at 13:30, in INF 205, SR A

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