Luxembourg, July 11 to July 15, 2016.

Scientific Committee:

Nicolas Bergeron,

Gebhard Boeckle,

Paul Gunnells.

Chairman: Gabor Wiese

Speakers:

Sara Arias de Reyna (Universidad de Sevilla): On an automorphy result for the tensor product of automorphic representations of GL_2 and GL_n in the self-dual case

Tobias Berger (University of Sheffield): Deformations of Saito-Kurokawa type

Lassina Dembélé (University of Warwick): On the existence of abelian surfaces with everywhere good reduction

Luis Dieulefait (Universitat de Barcelona): Chains of congruences linking Hilbert modular forms

Herbert Gangl (Durham University): Hyperbolic polyhedra from Bianchi groups

Lucio Guerberoff (University College London): Critical values of L-functions of potentially automorphic motives

David-Alexandre Guiraud (Universitaet Heidelberg): Generic unobstructedness for compatible systems of Galois representation in the CHT-setting

Günter Harder (Hausdorff Center for Mathematics, Bonn): Explicit computation of denominators of Eisenstein cohomology classes

David Kohel (Université d'Aix-Marseille): Characterizing Galois representations by character theory

Ariel Pacetti (University of Warwick and Universidad de Buenos Aires): Elliptic curves over PID imaginary quadratic fields

Aurel Page (University of Warwick): Torsion homology of hyperbolic 3-manifolds in Jacquet-Langlands pairs and isospectral pairs

Jean Raimbault (Université Paul Sabatier, Toulouse): Asymptotic geometry of arithmetic hyperbolic 3-manifolds

M. Haluk Sengun (University of Sheffield): K-theory around arithmetic groups

Christopher Williams (University of Warwick)*: Overconvergent Bianchi modular symbols and p-adic L-functions

Dan Yasaki (University of North Carolina, Greensboro): Computing Bianchi modular forms using polytopes

* (to be confirmed)

By Bianchi modularity, we understand extensions from classical modularity over the rational field towards imaginary quadratic fields (respectively, from SL_2(Z) towards the Bianchi modular groups).

As contributions to this, we consider studies of Bianchi modular forms, attached automorphic representations and attached Galois representations, as well as relevant cohomology and attachable Abelian varieties.

The workshop is funded by a research grant of the chairman, Gabor Wiese.

For questions, please contact the workshop organiser.

Timetable of the workshop.

Participants.

Printable poster (A4 letter format, black and white).

Travel information (might be of use for future events at Kirchberg campus).

Picture copyrights:

Left picture: Fundamental domain for the action of the Bianchi group of discriminant -427 on hyperbolic 3-space, relevant for computing the dimensions of the autormorphic representations spaces of this group. Computed with Bianchi.gp and visualized with geomview, picture under GNU General Public License license by Alexander D. Rahm.

Center: Photograph of Luigi Bianchi (1856 - 1928), as printed in his collected works, expired copyright.

Right: "A geometrical demonstration of the associativity law for the group operation on an elliptic curve", released into the public domain by its author, Thomas Cooper.