I had the chance to visit Imperial College London during February to June 2024. My mathematical research revolve around the study of p-adic modular forms, Shimura varieties and the p-adic Langlands program and I took advantage of this visit to discuss extensively with Toby Gee and George Boxer who are expert on these subjects.
During my stay I focused mainly on my ongoing collaboration with Eugen Hellmann and Benjamin Schraen on the study of the stack of (\varphi,\Gamma)-module, and its relation to the categorical p-adic Langlands correspondance. This correspondance shed a new light on the relation of arithmetic with (geometric) representation theory and I had the chance to participate and coorganise with Ana Caraiani and Martin Ortiz a working group on the recent paper "Mirror Symmetry and the Breuil-Mezard conjecture" by Tony Feng and Bao Le Hung which study such a relation with the Breuil-Mezard conjecture. During these month I could also present some of my collaborative results to the team during a mini-course.
This visit in London was also the occasion to exchange with the entire group at Imperial College and to meet PhD students and post-docs. This stay really has broaden a bit my interests and I am sure it will positively influence my work in the coming years.
Host: Toby Gee
