Programme

lundi 23 mai 2022

Heures événement (+)
08:30 - 09:00 Accueil - Récupération des tickets-déjeuner du CROUS, bloc-notes, feuillet d'information etc.  
09:00 - 10:00 Exposé (+)  
09:00 - 10:00 › On supercuspidal part of the l-adic cohomology of the Rapoport-Zink space for GSp(4) - Yoichi Mieda, The University of Tokyo  
10:00 - 10:30 Pause café  
10:30 - 11:30 Exposé (+)  
10:30 - 11:30 › A Harder-Narasimhan stratification of the B^+_dR-Grassmannian - NGUYEN Kieu Hieu  
11:30 - 13:00 Déjeuner  
13:00 - 14:30 Mini-cours - 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.  
14:30 - 15:00 Pause café  
15:00 - 16:00 Exposé (+)  
15:00 - 16:00 › 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  

mardi 24 mai 2022

Heures événement (+)
09:00 - 10:00 Exposé (+)  
09:00 - 10:00 › Algebraic cycles and functorial lifts from G2 to PGSp(6) - Cauchi Antonio, Concordia University  
10:00 - 10:30 Pause café  
10:30 - 11:30 Exposé - A. Pozzi : "Higher Elliptic Elements and a tame analogue of a conjecture of Perrin-Riou". A conjecture proposed by Harris and Venkatesh relates the derived Hecke algebra of weight one modular forms to a certain Stark unit. This conjecture can be formulated in terms of a pairing involving with the Shimura class, a class in the first etale cohomology group of the modular curve. Instances of this conjecture have recently been proved by Darmon, Harris, Rotger and Venkatesh. A key ingredient is the study of a generalised Eisenstein eigenspace for mod p modular forms. In this talk, I will discuss an analogue construction for generalised “elliptic" eigenspaces, which can be viewed as a tame refinement of a conjecture of Perrin-Riou. This is joint work in progress with Henri Darmon.  
11:30 - 13:00 Déjeuner  
13:00 - 14:30 Mini-cours - Part 1 (+)  
13:00 - 14:30 › A higher Kudla program over function fields - Tony Feng, MIT  
14:30 - 15:00 Pause café  
15:00 - 16:30 Mini-cours - Part 1. I. Gleason. (+)  
15:00 - 16:30 › On the p-adic theory of local models. - Ian Gleason - Department of Mathematics - University of Bonn, João Lourenço - Max-Planck-Institut für Mathematik  

mercredi 25 mai 2022

Heures événement (+)
09:00 - 10:00 Exposé (+)  
09:00 - 10:00 › Derived homomorphisms of abelian varieties and special cycles on Shimura varieties - Keerthi Madapusi, Boston College  
10:00 - 10:30 Pause café  
10:30 - 12:00 Mini-cours - V. Pilloni : "Higher Hida Theory, part 2 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.  
12:00 - 13:30 Déjeuner  
13:30 - 14:30 Visite guidée en anglais du campus historique et de ses œuvres artistiques - Rendez-vous sous la galerie vitrée à 13h30 avec Grégor Blot-Julienne, directeur de la Bibliothèque universitaire pour une promenade d'une petite heure sur le campus historique.  

jeudi 26 mai 2022

Heures événement (+)
09:00 - 10:00 Exposé (+)  
09:00 - 10:00 › Vanishing theorems for local and global Shimura varieties - Teruhisa Koshikawa, Research Institute for Mathematical Sciences, Kyoto University  
10:00 - 10:30 Pause café  
10:30 - 11:30 Exposé (+)  
10:30 - 11:30 › Triple product periods in RM theory - Jan Vonk, Universiteit Leiden [Leiden]  
11:30 - 13:00 Déjeuner (plateaux-repas)  
13:00 - 14:30 Mini-cours - Part 2. J. Lourenço. (+)  
13:00 - 14:30 › On the p-adic theory of local models. - João Lourenço, Max-Planck-Institut für Mathematik  
14:30 - 15:00 Pause café  
15:00 - 16:30 Mini-cours - Part 2 (+)  
15:00 - 16:30 › A higher Kudla program over function fields - Tony Feng, MIT  
19:00 - 22:00 Cocktail et banquet au Mancel  

vendredi 27 mai 2022

Heures événement (+)
09:00 - 10:00 Exposé (+)  
09:00 - 10:00 › Rigid meromorphic cocycles for orthogonal groups - Lennart Gehrmann, Universität Duisburg-Essen  
10:00 - 10:30 Pause café  
10:30 - 11:30 Exposé (+)  
10:30 - 11:30 › The supersingular locus of the Shimura variety of GU(2,n-2) - Naoki Imai, University of Tokyo  
11:30 - 13:00 Déjeuner  
13:00 - 14:30 Mini-cours - G. Boxer : "Higher Hida Theory, part 3 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.  
14:30 - 15:00 Pause café  
15:00 - 16:00 Exposé (+)  
15:00 - 16:00 › Overconvergent Eichler–Shimura morphism for families of Siegel modular forms - Giovanni Rosso, Concordia University  
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