Seminar at SMU Delhi

December 13, 2017 (Wednesday) , 3:30 PM at Webinar
Speaker: Eknath Ghate, TIFR, Mumbai
Title: Reductions of Galois representations and the Monomial Lattice
Abstract of Talk
We recall some recent results (of ours with various coauthors) on reductions of Galois representations, briefly sketching the proof. This allows us to introduce the related open problem of describing the lattice generated by the monomials in the usual symmetric power representations of the general linear group over a finite field. We provide some preliminary progress on describing this lattice.