EVENT DETAILS AND ABSTRACT

Title: Deformations of Galois representations and exceptional monodromy
Speaker: Stefan Patrikis
Speaker Info: University of Utah
Brief Description:
Special Note:
Abstract:

I will explain how to realize the exceptional algebraic groups as algebraic monodromy groups of geometric (in the sense of Fontaine-Mazur) Galois representations, in particular obtaining the first such examples in types F4 and E6. The argument relies on lifting well-chosen mod p representations to characteristic zero, using a generalization (to essentially any reductive group) of a technique developed by Ravi Ramakrishna for type A1.