- This event has passed.
Algebraic Geometry Seminar
January 31, 2013 @ 2:30 pm - 3:30 pm
***Special Seminar*** (Joint with the Number Theory Seminar)
Speaker: Rebecca Bellovin (Stanford University)
Title: p-adic Hodge theory in rigid analytic families
Abstract: Broadly speaking, p-adic Hodge theory is the study of representations of Galois groups of p-adic fields on vector spaces with p-adic coefficients. One can use the theory of (\varphi,\Gamma)-modules to convert such Galois representations into simpler linear algebra, and one can also classify such representations in terms of how arithmetically interesting they are. In my talk, I will discuss extensions of this theory to p-adic families of Galois representations. Such families arise naturally in the contexts of Galois deformation rings and p-adic modular forms.