## EVENT DETAILS AND ABSTRACT

**Number Theory**
**Title:** Computing Hida families

**Speaker:** Rob Harron

**Speaker Info:** Wisconsin-Madison

**Brief Description:**

**Special Note**:

**Abstract:**

I will report on joint work with Rob Pollack, Evan Dummit, Marton Hablicsek, Lalit Jain, and Daniel Ross on explicitly computing Hida families using overconvergent modular symbols. This grew out of a project at the Arizona Winter School and the basic idea is to study p-adic families of overconvergent modular symbols. I will go over some background and explain how one goes about encoding the relevant objects on a computer. Aside from being able to compute formal q-expansions of Hida families, we can also compute the structure of the ordinary p-adic Hecke algebra, L-invariants, two-variable p-adic L-functions, etc. Several examples will be provided. The code is implemented in Sage.

**Date:** Monday, February 25, 2013

**Time:** 3:00PM

**Where:** Lunt 107

**Contact Person:** Simon Marshall

**Contact email:** slm@math.northwestern.edu

**Contact Phone:** 847-467-0715

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