ETHZ-UZh-Sbg Arithmetic and Geometry Research Group

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Workshop "Arithmetic and Geometry: Ten years in Alpbach"

This workshop is organized by J. Ayoub, A. Kresch, G. Wüstholz with the help of C. Fuchs. The workshop takes place from June 26 - July 1, 2016 at the Böglerhof in Alpbach/Tyrol, Austria.

This, the 10th in a series of Workshops in Alpbach, will feature minicourses and conference talks on the topics of previous years (see, covering a spectrum of modern arithmetic geometry. Minicourses presenting a broad overview of these topics, delivered by top international experts, will be complemented by conference talks highlighting recent progress.

The group picture with the workshop participants can be found here: JPG

Joseph Ayoub (U. Zurich)
Ernest Brooks (Lausanne)
Laura Capuano (SNS Pisa)
Javier Fresan (ETH Zurich)
Ziyang Gao (Paris 7)
Sergey Gorchinskiy (Steklov Inst., Moscow)
Joachim Heinze (Heidelberg)
Ariyan Javanpeykar (Mainz)
Dimitar Jetchev (EPFL)
Peter Jossen (ETH Zurich)
Rafael von Känel (Princeton)
Christina Karolus (Salzburg)
Andrew Kresch (U. Zurich)
Lars Kühne (MPIM Bonn)
Lucia Mocz (Princeton)
Jakob Oesinghaus (U. Zurich)
Roland Paulin (Salzburg)
Richard Pink (ETH Zurich)
Alexandre Puttick (ETH Zurich)
Peter Scholze (Bonn)
Yuri Tschinkel (Courant Inst.)
Francesco Veneziano (Basel)
Alberto Vezzani (Paris 6)
Gisbert Wüstholz (ETH Zurich)
Jing Yu (NTU Taipei)
Umberto Zannier (SNS Pisa)
Shou-Wu Zhang (Princeton)
The participants consist of PhD students and postdocs in arithmetic and geometry from Zurich as well as colleagues from Bonn, Lausanne, Mainz, Moscow, Princeton, and Salzburg.

The program will start on Sunday evening, the first talk (given by S. Gorchinskiy) is scheduled for 17:15-18:45. The detailed program (including abstracts) can be found here; it includes minicourses by P. Scholze, U. Zannier and by S.-W. Zhang as well as invited talks by L. Capuano, Z. Gao, S. Gorchinskiy, Y. Tschinkel, A. Vezzani and by Jing Yu: Program-2016

Sunday, 26.06.2016 (Arrival day): Higher dimensional Cantou-Carrere symbol (welcome talk given by Sergey Gorchinskiy)
Monday: Local Shimura varieties. I (Peter Scholze); Faltings-heights and L-functions. I (Shou-Wu Zhang); Bi-algebraic system on the universal vectorial extension and some transcendental results (Ziyang Gao); Unlikely Intersections in certain families of abelian varities and the polynomial Pell equation (Laura Capuano)
Tuesday: Faltings heights and L-functions. II (Shou-Wu Zhang); Local Shimura varieties. II (Peter Scholze); Rationality Problems (Yuri Tschinkel); The Monsky-Washnitzer and the overconvergent realisations (Alberto Vezzani)
Wednesday: Local Shimura varieties. III (Peter Scholze); Hyperelliptic Continued Fractions and Generalized Jacobians. I (Umberto Zannier)
Possible afternoon program: Informal discussion, excursions, hiking tours.
Thursday: Hyperelliptic Continued Fractions and Generalized Jacobians. II (Umberto Zannier); Faltings heights and L-functions. III (Shou-Wu Zhang); Linear Forms in Multiple Zeta Values, the Positive Characteristic Case. I&II (Jing Yu)
Friday, 01.07.2016: Local Shimura varieties. IV (Peter Scholze); Faltings heights and L-functions. IV (Shou-Wu Zhang)

(Tentative) Schedule:
09:00 - 10:30: Minicourse lecture
10:30 - 11:00: Coffee break
11:00 - 12:30: Minicourse lecture
12:45: Lunch
13:45 - 14:45: Conference talk
15:00 - 16:00: Conference talk
16:00 - 18:00: Time for informal discussion
19:00: Dinner

Lecture Notes and Literature:
References will be announced here.
Impressum    01.07.2016