Geometry of arithmetic varieties, Beijing (BICMR)

2 sept. 2019, 08:30 → 6 sept. 2019, 17:00 Asia/Shanghai

Lecture Hall, Jiayibing building, Jingchunyuan 82 (Beijing International Center for Mathematical Research)

 

 

 

 

 

 

 

 

Topics and place

The main topics of this workshop are: arithmetic geometry, Arakelov theory and diophantine geometry. It will take place at the Beijing International Center of Mathematical Research (BICMR).

Anybody wishing to attend is welcome to register. We do not charge any conference fee, but at this time we cannot promise any financial support (except for the invited speakers). We may help you to find an affordable lodging in Beijing during the time of the conference.

Invited speakers

• Jose Burgos-Gil (ICMAT, Madrid)
• Anna Cadoret (IMJ-PRG, Paris and Kyoto University)
• Victoria Cantoral Farfán (ICTP, Trieste)
• Yang Cao (Leibniz Universität, Hannover)
• Ke Chen (Nanjing University)
• Yanbo Fang (IMJ-PRG, Paris)
• Mounir Hajli (Shanghai Jiao Tong University)
• Marc Hindry (IMJ-PRG, Paris)
• Yong Hu (Southern University of Science and Technology, Shenzhen)
• Zhizhong Huang (Leibniz Universität Hannover)
• Hideaki Ikoma (Kyoto University)
• Klaus Künnemann (Universität Regensburg)
• Yongqi Liang (University of Science and Technology of China)
• Atsushi Moriwaki (Kyoto University)
• Fabien Pazuki (University of Copenhagen)
• Per Salberger (Chalmers University of Technology)
• Tamás Szamuely (Universita degli studi di Pisa)
• Fei Xu (Capital Normal University)
• Yu Yasufuku (Nihon University)
• Tong Zhang (East China Normal University)
• Yongqiang Zhao (Westlake University)
• Huilin Zhu (Xiamen University)

 

Organizers

• François Ballaÿ (BICMR)
• Huayi Chen
• Marusia Rebolledo

Scientific committee

• François Ballaÿ (BICMR)
• Huayi Chen (IMJ)
• Noriko Hirata-Kohno (Nihon University)
• Philippe Gille (Institut Camille Jordan)
• Atsushi Moriwaki (Kyoto University)

Sponsors 

• BICMR 
• GDRSTN
• IMJ-PRG
• Université Paris Diderot

             

lundi 2 septembre

09:00 → 10:15 Reception

10:15 → 11:15 Marc Hindry (Université de Paris)

On the size of generators of the Mordell-Weil group of an abelian variety

11:15 → 11:30 Tea break

11:30 → 12:30 Ke Chen (Nanjing University)

On CM points away from the Torelli locus

12:30 → 14:30 Lunch

14:30 → 15:30 Tong Zhang (East China Normal University)

Linear system on arithmetic varieties fibered by curves

15:30 → 15:45 Tea break

15:45 → 16:45 Hideaki Ikoma (International Buddhist University)

Differentiability of the arithmetic volume function along the base conditions

mardi 3 septembre

09:00 → 10:00 Anna Cadoret (Sorbonne Université & Kyoto University)

Tannakian Cebotarev density theorem

10:00 → 10:15 Tea break

10:15 → 11:15 Yongqiang Zhao (Westlake University)

A Galois theoretic perspective of scrollar syzygy theory

11:15 → 11:30 Tea break

11:30 → 12:30 Yang Cao (Leibniz Universität, Hannover)

Arithmetic purity of strong approximation for linear algebraic groups

12:30 → 14:30 Lunch

14:30 → 15:30 Yongqi Liang (University of Science and Technology of China)

Non-invariance of strong and weak approximation properties under extension of the ground field

15:30 → 15:45 Tea break

15:45 → 16:45 Fei Xu (Capital Normal University)

Strong approximation with Brauer-Manin obstruction for a family of norm varieties

mercredi 4 septembre

09:00 → 10:00 Huilin Zhu (Xianmen University)

On pure ternary exponential Diophantine equations

10:00 → 10:15 Tea break

10:15 → 11:15 Mounir Hajli (Shanghai Jiaotong University)

A new formula for the Mahler measure

11:15 → 11:30 Tea break

11:30 → 12:30 Tamás Szamuely (Universita degli studi di Pisa)

A generalization of Beilinson's geometric height pairing

12:30 → 14:30 Lunch

jeudi 5 septembre

09:00 → 10:00 Zhizhong Huang (Leibniz Universität, Hannover)

Distribution of Mordell-Weil ranks in elliptic fibrations

10:00 → 10:15 Tea break

10:15 → 11:15 Fabien Pazuki (University of Copenhagen)

Regulators of number fields and abelian varieties

11:15 → 11:30 Tea break

11:30 → 12:30 Per Salberger (Chalmers University of Technology)

Counting rational points with the determinant method

12:30 → 14:30 Lunch

14:30 → 15:30 Yu Yasufuku (Nihon University)

The smallness of the GCD in Higher Dimensions

15:30 → 15:45 Tea break

15:45 → 16:45 Yong Hu (Southern University of Science and Technology)

Rost kernels of division algebras over complete discrete valuation fields

vendredi 6 septembre

09:00 → 10:00 Yanbo Fang (Université de Paris)

Metric extension for sections on semipositive line bundle over non-Archimedean fields

10:00 → 10:15 Tea break

10:15 → 11:15 Klaus Künnemann (Universität Regensburg)

Positive forms and currents on toric varieties

11:15 → 11:30 Tea break

11:30 → 12:30 Jose Ignacio Burgos Gil (Instituto de Ciencias Matemáticas)

Convex analysis on polyhedral spaces

12:30 → 14:30 Lunch

14:30 → 15:30 Victoria Cantoral Farfán (Katholieke Universiteit Leuven)

The Mumford-Tate conjecture implies the algebraic Sato-Tate conjecture

15:30 → 15:45 Tea break

15:45 → 16:45 Atsushi Moriwaki (Kyoto University)

Arithmetic dynamical system and Dirichlet’s property