Program and videos

Abstracts of the lectures

Calanques

Monday, May 30, 2022

9h-10h Takeshi Saito (The University of Tokyo)
Upper ramification groups of local fields with imperfect residue fields

10h05-11h05 Takeshi Saito (The University of Tokyo)
Upper ramification groups of local fields with imperfect residue fields

11h05-11h30 Coffee

11h30-12h30 Alexander Petrov (Harvard)
Automatic de Rhamness of p-adic local systems and Galois action on the pro-algebraic fundamental group

12h30 Lunch

16h30-17h Coffee

17h-18h Takeshi Tsuji (The University of Tokyo)
Prismatic cohomology and A_inf-cohomology with coefficients

18h15-19h15 Wieslawa Niziol (CNRS & Sorbonne Université)
Duality for p-adic pro-étale cohomology of analytic curves

19h30 Dinner

Tuesday, May 31, 2022

9h-10h Ahmed Abbes (CNRS & IHÉS)
The p-adic Simpson correspondence: Functoriality by proper direct image and Hodge-Tate local systems

10h05-11h05 Ahmed Abbes (CNRS & IHÉS)
The p-adic Simpson correspondence: Functoriality by proper direct image and Hodge-Tate local systems

11h05-11h30 Coffee

11h30-12h30 Takeshi Saito (The University of Tokyo)
Upper ramification groups of local fields with imperfect residue fields

12h30 Lunch

16h30-17h Coffee

17h-18h Daichi Takeuchi (Riken)
On local epsilon factors of the vanishing cycles of isolated singularities

18h15-19h15 Quentin Guignard (Université de Paris)
Graded logarithmic geometry and valuative spaces

19h30 Dinner

Wednesday, June 1, 2022

9h-10h Yifeng Liu (Institute of Advanced Study in Mathematics, Zhejiang University) -- online
Derivative of L-functions for unitary groups

10h05-11h05 Yifeng Liu (Institute of Advanced Study in Mathematics, Zhejiang University) -- online
Derivative of L-functions for unitary groups

11h05-11h30 Coffee

11h30-12h30 Ahmed Abbes (CNRS & IHÉS)
The p-adic Simpson correspondence: Functoriality by proper direct image and Hodge-Tate local systems

12h30 Lunch

Free afternoon

Thursday, June 2, 2022

9h-10h Yifeng Liu (Institute of Advanced Study in Mathematics, Zhejiang University) -- online
Derivative of L-functions for unitary groups

10h05-11h05 Teruhisa Koshikawa (RIMS)
Some cases of the Hodge standard conjecture

11h05-11h30 Coffee

11h30-12h30 Ana Caraiani (Imperial College London) -- online
Modularity over CM fields

12h30 Lunch

16h30-17h Coffee

17h-18h Akhil Mathew (University of Chicago) -- online
Some recent advances in syntomic cohomology

18h15-19h15 Akhil Mathew (University of Chicago) -- online
Some recent advances in syntomic cohomology

19h30 Dinner

Friday, June 3, 2022

9h-10h Lue Pan (Princeton University)
Sen theory for locally analytic representations

10h05-11h05 Tongmu He (IHÉS & Université Paris-Saclay)
Sen operators and Lie algebras arising from Galois representations over p-adic varieties

11h05-11h30 Coffee

11h30-12h30 Daxin Xu (Chinese Academy of Sciences) -- online
Parallel transport for Higgs bundles over p-adic curves

12h30 Lunch

14h-15h Akhil Mathew (University of Chicago) -- online
Some recent advances in syntomic cohomology

15h15-16h15 Will Sawin (Columbia University) -- online
Bounding the stalks of perverse sheaves in characteristic p via the characteristic cycle

19h30 Dinner


Organizers

Ahmed Abbes (CNRS & IHÉS), Ana Caraiani (Imperial College London ), Ariane Mézard (Sorbonne Université),
Takeshi Saito (University of Tokyo), Takeshi Tsuji (The University of Tokyo),
Daxin Xu (Chinese Academy of Sciences), Weizhe Zheng (Chinese Academy of Sciences).



Centre International de Rencontres Mathématiques (CIRM),
163 avenue de Luminy, Case 916,
13288 Marseille cedex 9, France
For more information, send a message to abbes @ ihes.fr
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