STNB

BCN Spring 2016 Workshop: Number Theory & K-theory

Minicourse on $p$-adic $L$-functions and points on modular abelian varieties

Coordinación

Santiago Molina Blanco

Descripción

The aim of this course is to exploit the cohomology of certain arithmetic groups attached to automorphic forms over a totally real field F, in order to construct the following objects: On the one hand, the cyclotomic and anticyclotomic p-adic L-functions attached to an automorphic representation. On the other hand, Stark-Heegner points on modular abelian varieties attached to quadratic extensions of F.

Charlas

1. Cohomology of arithmetic groups attached to automorphic forms (Santiago Molina Blanco)
2. $p$-adic $L$-functions (Santiago Molina Blanco)
3. Stark-Heegner points on modular abelian varieties (Santiago Molina Blanco)