STNB

BCN Spring16 Workshop on Number Theory & K-theory

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

Co-ordinators

Santiago Molina Blanco

Description

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.

Talks

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)