Mittagsseminar zur Arithmetik: Gheorghe Pupazan (Humboldt-Univ. Berlin): Multivariable ( phi, Gamma)-modules and representations of products of Galois groups
Tuesday, 05.07.2022 14:15 im Raum via Zoom, SRZ 216/217
Fontaine´s theory of (\varphi, \Gamma)-modules is a fundamental tool to describe and classify continuous representations of the Galois group. The following talk will present the results from the author's PhD dissertation, where a multivariable version of the category of (\phi, \Gamma)-modules is introduced. More exactly, we focus on étale (\phi, \Gamma)-modules over a multivariable Laurent power series ring over the ring of integers of a given local field. These modules classify the continuous representations of a n-fold product of the absolute Galois group of the local field with coefficients in the ring of integers.