Planning
| Time |
Event |
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08:30 - 09:00
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Welcome - Pick-up of lunch vouchers, writing pad, info sheet, etc. |
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09:00 - 10:00
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Talk |
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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 |
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10:00 - 10:30
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Coffee break |
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10:30 - 11:30
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Talk |
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10:30 - 11:30 |
› A Harder-Narasimhan stratification of the B^+_dR-Grassmannian - NGUYEN Kieu Hieu |
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11:30 - 13:00
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Lunch |
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13:00 - 14:30
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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. |
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14:30 - 15:00
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Coffee break |
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15:00 - 16:00
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Talk |
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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 |
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| Time |
Event |
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09:00 - 10:00
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Talk |
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09:00 - 10:00 |
› Algebraic cycles and functorial lifts from G2 to PGSp(6) - Cauchi Antonio, Concordia University |
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10:00 - 10:30
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Coffee break |
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10:30 - 11:30
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Talk - 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. |
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11:30 - 13:00
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Lunch |
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13:00 - 14:30
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Mini-course - Part 1 |
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13:00 - 14:30 |
› A higher Kudla program over function fields - Tony Feng, MIT |
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14:30 - 15:00
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Coffee break |
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15:00 - 16:30
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Mini-course - Part 1. I. Gleason. |
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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 |
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| Time |
Event |
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09:00 - 10:00
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Talk |
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09:00 - 10:00 |
› Derived homomorphisms of abelian varieties and special cycles on Shimura varieties - Keerthi Madapusi, Boston College |
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10:00 - 10:30
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Coffee break |
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10:30 - 12:00
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Mini-course - 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. |
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12:00 - 13:30
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Lunch |
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13:30 - 14:30
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Guided tour in English of the historical campus and its artistic artefacts - Meeting point : under the glass galery at 1h30pm with Grégor Blot-Julienne, head librarian for a pleasant 1h walk around the historical campus. |
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| Time |
Event |
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09:00 - 10:00
|
Talk |
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09:00 - 10:00 |
› Vanishing theorems for local and global Shimura varieties - Teruhisa Koshikawa, Research Institute for Mathematical Sciences, Kyoto University |
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10:00 - 10:30
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Coffee break |
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10:30 - 11:30
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Talk |
(+)
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10:30 - 11:30 |
› Triple product periods in RM theory - Jan Vonk, Universiteit Leiden [Leiden] |
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11:30 - 13:00
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Lunch (lunch boxes) |
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13:00 - 14:30
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Mini-course - Part 2. J. Lourenço. |
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13:00 - 14:30 |
› On the p-adic theory of local models. - João Lourenço, Max-Planck-Institut für Mathematik |
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14:30 - 15:00
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Coffee break |
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15:00 - 16:30
|
Mini-course - Part 2 |
(+)
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15:00 - 16:30 |
› A higher Kudla program over function fields - Tony Feng, MIT |
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19:00 - 22:00
|
Cocktail and banquet at the Mancel |
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| Time |
Event |
(+)
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09:00 - 10:00
|
Talk |
(+)
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09:00 - 10:00 |
› Rigid meromorphic cocycles for orthogonal groups - Lennart Gehrmann, Universität Duisburg-Essen |
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10:00 - 10:30
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Coffee break |
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10:30 - 11:30
|
Talk |
(+)
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10:30 - 11:30 |
› The supersingular locus of the Shimura variety of GU(2,n-2) - Naoki Imai, University of Tokyo |
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11:30 - 13:00
|
Lunch |
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13:00 - 14:30
|
Mini-course - 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. |
|
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14:30 - 15:00
|
Coffee break |
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15:00 - 16:00
|
Talk |
(+)
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15:00 - 16:00 |
› Overconvergent Eichler–Shimura morphism for families of Siegel modular forms - Giovanni Rosso, Concordia University |
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