30e Rencontres arithmétiques de Caen

Welcome

Pick-up of lunch vouchers, writing pad, info sheet, etc.

Talk

› On supercuspidal part of the l-adic cohomology of the Rapoport-Zink space for GSp(4) - Yoichi Mieda, The University of Tokyo 09:00-10:00 (1h)

Coffee break

Talk

› A Harder-Narasimhan stratification of the B^+_dR-Grassmannian - NGUYEN Kieu Hieu 10:30-11:30 (1h)

Lunch

Mini-course

Giada Grossi : "Higher Hida Theory, part 1 of 3". The goal of higher Hida theory is to define an “ordinary part” of higher coherent cohomology of Shimura varieties and interpolate it p-adically in the weight. We will define some higher coherent cohomological analogs of ordinary p-adic modular forms and prove control theorems comparing them to classical cohomology. These objects will be defined as some cohomologies with support conditions. One major source of technical difficulties is that we do not have well understood integral models of the Hecke correspondences arising in the theory. In the first lecture we will introduce some of the ideas in the simplest case of the modular curve, and in the subsequent lectures we will explain some developments in the Siegel and Hilbert cases.

Coffee break

Talk

› Admissible pairs, p-adic Hodge structures, and Ax-Lindemann for basic local Shimura varieties (or, a Tale of Two Analyticities) - Sean Howe, Department of Mathematics - University of Utah 15:00-16:00 (1h)

Planning