Sergey Gorchinskiy (Steklov Math. Inst., NRU HSE, Moscow)
The participants consist of PhD students and postdocs in arithmetic and geometry from Zurich as well as colleagues from Basel, Freiburg, Lausanne, Leiden, Mainz, Moscow, Princeton, and Salzburg.
Program:
The program will start on Sunday evening, the first talk (given virtually online by B. Lawrence) is scheduled for 17:15-18:45. The detailed program can be found here:
PDF (written by B. Lawrence). The list of talks (including abstracts of the invited talks by Ariyan Javanpeykar and Yunqing Tang) can be found here:
Program-2019
| Sunday, 30.06.2019 (Arrival day): Introduction (welcome talk given virtually online by B. Lawrence) |
| Monday: Introduction to p-adic Hodge theory I (Doosung Park), II (Maxim Mornev), The S-unit equation (Harry Schmidt) |
| Tuesday: Construction of the Kodaira-Parshin family (Nicola Nesa), Friendly places and generic simplicity (Emil Jacobsen), Arithmetic hyperbolicity: birational self maps, from number fields to finitely generated fileds, and period domains (Ariyan Javanpeykar), Reductions of abelian surfaces over global function fields (Yunqing Tang) |
| Wednesday: The main argument I (Fritz Hörmann), II (Ziyang Gao) |
| Thursday: Monodromy I (Alberto Merici), II (Lorenzo Mantovani), Hypersurfaces I (Sergey Gorchinskiy) |
| Friday, 05.07.2019: Hypersurfaces II (Sergey Gorchinskiy), III (Lars Kühne) |
(Tentative) Schedule:
09:00 - 10:30: First talk
10:30 - 11:00: Coffee break
11:00 - 12:30: Second talk
12:45: Lunch
13:45 - 15:15: Third talk
15:30 - 18:00: Time for informal discussion
or
13:45 - 14:45: Invited talk
15:00 - 16:00: Invited talk
16:00 - 18:00: Time for informal discussion
19:00: Dinner
Lecture Notes and Literature:
Main article (by B. Lawrence and A. Venkatesh):
arXiv:1807.02721
[1] D. Arapura: Computation of some Hodge numbers. Available online at
PDF.
[2] B. Bakker and J. Tsimerman: The Ax-Schanuel conjecture for variations of Hodge structures. Available online at
arXiv:1712.05088.
[3] P. Berthelot: Cohomologie cristalline des schemas de caracteristique p > 0. Springer, Lecture Notes in Mathematics, 1974
[4] P. Berthelot and A. Ogus: Notes on Crystalline Cohomology
[5] B. Bhatt and A. J. de Jong: Crystalline cohomology and de Rham cohomology
[6] O. Brinon and B. Conrad: CMI summer school notes on p-adic Hodge theory. Available online at
PDF.
[7] A. Chambert-Loir: Cohomologie cristalline: un survol
[8] G. Faltings: Endlichkeitssätze für abelsche Varietäten über Zahlkörper
[9] B. Farb and D. Margalit: A primer on mapping class groups
[10] J.-M. Fontaine, ed.: Periodes p-adiques. Asterisque 223, 1994
[11] W. Fulton: Hurwitz schemes and irreducibility of moduli of algebraic curves. Annals of math., 1969
[12] B. Lawrence and A. Venkatesh: Diophantine problems and p-adic period mappings. Available online at
arXiv:1807.02721.
[13] S. Mochizuki: The geometry of the compactification of the Hurwitz scheme
[14] G. Wüstholz: The finiteness theorems of Faltings. In: Rational points, Springer, 1992
