If Only This Worked…

About

During this Junior Research Retreat, PhD students and postdocs in number theory and representation theory will share promising ideas they have worked on that didn't quite work out, and attempt to revive them with other participants.

Format

The main focus of the retreat is low-stakes, relaxed collaboration. During the first two days, participants will give 30-minute pitches of their project ideas. The rest of the time will be spent in small groups, working on the ideas presented in the talks. Breakfast, coffee breaks, lunch, and dinner will be provided for all participants.

Tentative Schedule

Participant list

• Simon Gabriel Alonso Imperial College London p-adic aspects of the Langlands program, local-global compatibility, Galois representations, modularity
• Joe Baine MPIM Bonn Modular representation theory
• Saverio Caleca University of Duisburg-Essen Geometric (locally analytic) Langlands program, Galois deformations, Condensed mathematics, ...
• Mads Christensen MPIM Bonn Automorphic forms, symmetric spaces, theta correspondences
• Charlotte Clare-Hunt University of Oxford p-adic aspects of the Langlands programme, automorphic forms, Galois representations, and eigenvarieties
• Sean Cotner University of Bonn Local Langlands, moduli of L-parameters, integral + modular methods, finite groups
• Michael Daas University of Luxembourg (p-adic) modular forms, Galois representations, elliptic curves, algebraic number theory
• Peter Dillery (virtual) Oregon State University
• Zachary Feng University of Cambridge
• Hazem Hassan Heidelberg University Special cycles, p-adic uniformization, heights, Drinfeld modular forms
• Aleksander Horawa University of Bonn Automorphic forms, L-values, algebraic cycles, Langlands Program, cryptography
• Jelena Ivancic MPIM Bonn Global Langlands correspondence (as seen in the study of Shimura varieties / locally symmetric spaces, eigenvarieties...), local-global compatibility, p-adic Langlands program
• Carlo Kaul University of Münster Locally analytic categorical Langlands program, six functor formalisms in locally analytic representation theory, geometric representation theory, global Langlands program, endoscopy, the geometry of the eigenvariety and applications to classicality, modularity and Iwasawa theory
• Julius Mann MPIM Bonn Local Langlands, Geometric Representation Theory, Analytic Geometry
• Luca Marannino Università degli Studi di Milano Iwasawa theory, Euler Systems, p-adic L-functions, p-adic autormorphic forms
• Martin Ortiz MPIM Bonn Shimura varieties, p-adic Hodge theory, Langlands program
• Marti Roset Julia ETH Zürich p-adic methods, theta lifts, Kudla program, rigid cocycles and explicit class field theory
• Calle Sönne Imperial College London (LSGNT) Shimura varieties, automorphic forms (mod p), Galois representations
• James Taylor University of Bristol p-adic geometry, representation theory (semilinear, p-adic and mod-p)

Venue

The retreat will be held at the Hotel Seemöwe in the beautiful Eifel region of Germany. Room and board will be covered for all participants.

Support

This retreat is supported by the Hausdorff School of Mathematics.

Organizers

• Peter Dillery
  University of Bonn  ·  dillery@math.uni-bonn.de
• Aleksander Horawa
  University of Bonn  ·  horawa@math.uni-bonn.de
• Jelena Ivancic
  University of Bonn / MPI Bonn  ·  ivancic@mpim-bonn.mpg.de

Key Information