Organizer: Ye Tian (Chinese Academy of Sciences),

  Shou-Wu Zhang (Princeton University / IAS,Tsinghua)

July 26, 2017

9:00am-9:50am

Qin Hourong, Nanjing University

Congruent numbers, ternary quadratic forms and K2

10:00am-10:50am

Ashay Burungale, Princeton IAS

Horizontal variation of the arithmetic of elliptic curves

11:00am-11:50am

Qiu Yannan, Columbia University

Bessel Functions on GL(n)

3:00pm-3:50pm

Gao Ziyang, Princeton University

Heights in families of abelian varieties and the geometric Bogomolov conjecture

4:00pm-4:50pm

Zheng Weizhe, AMSS, CAS

Nearby cycles over general bases and duality

5:00pm-5:50pm

Hu Yongquan, AMSS, CAS

Some results on Galois deformation rings of $\mathrm{Gal}(\overline{\mathbb{Q}}_p/\mathbb{Q}_p)$}

July 27, 2017

9:00am-9:50am

Liu Yifeng, Northwestern University

Supersingular locus of quaternionic Shimura varieties and arithmetic applications

10:00am-10:50am

Li Chao, Columbia University

Arithmetic fundamental lemma in the minuscule case

11:00am-11:50am

Shen Xu, AMSS, CAS

Stratifications in good reductions of Shimura varieties