Title: Potentially semi-stable pseudodeformation rings
Speaker: Carl Wang Erickson
Speaker Info: Brandeis
Brief Description:
Special Note:
Abstract:
Let R be a deformation ring of representations of an absolute Galois group of a p-adic local field K, and let L be a finite extension of K. Kisin produced a quotient of R corresponding to representations which have bounded Hodge-Tate weights and are semi-stable after restriction to L. We will discuss an analogous result where R is replaced by a deformation ring of pseudorepresentations, also explaining what it means for a pseudorepresentation to be semi-stable. This follows from another result that generalizes Kisin's construction to more general families of Galois representations.Date: Monday, October 20, 2014