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# Documents  11F33 | enregistrements trouvés : 3

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## Multi angle  Non-minimal modularity lifting theorems for imaginary quadratic fields Calegari, Frank (Auteur de la Conférence) | CIRM (Editeur )

I will explain how previous (conditional) minimal modularity lifting results (in the presence of torsion) may be adapted to the non-minimal case in the context of imaginary quadratic fields. This is joint work with David Geraghty.

## Multi angle  Construction of $p$-adic $L$-functions for unitary groups Harris, Michael (Auteur de la Conférence) | CIRM (Editeur )

This is a report on the construction of $p$-adic $L$-functions attached to ordinary families of holomorphic modular forms on the unitary groups of $n$-dimensional hermitian vector spaces over $CM$ fields. The results have been obtained over a period of nearly 15 years in joint work with Ellen Eischen, Jian-Shu Li, and Chris Skinner. The $p$-adic $L$-functions specialize at classical points to critical values of standard $L$-functions of cohomological automorphic forms on unitary groups, or equivalently of cohomological automorphic forms on $GL(n)$ that satisfy a polarization condition. When $n = 1$ one recovers Katz's construction of $p$-adic $L$-functions of Hecke characters. This is a report on the construction of $p$-adic $L$-functions attached to ordinary families of holomorphic modular forms on the unitary groups of $n$-dimensional hermitian vector spaces over $CM$ fields. The results have been obtained over a period of nearly 15 years in joint work with Ellen Eischen, Jian-Shu Li, and Chris Skinner. The $p$-adic $L$-functions specialize at classical points to critical values of standard $L$-functions of ...

## Single angle  Pre-adic and adic spaces Buzzard, Kevin (Auteur de la Conférence) | CIRM (Editeur )

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