Institute for Mathematical Sciences

Pan Asia Number Theory Conference 2018

(25 - 29 Jun 2018)

Venue: IMS Auditorium
PDF Abstracts

Monday, 25 Jun 2018

09:20am - 10:05amRegistration
10:05am - 10:15amOpening Remarks
10:15am - 11:00am

A proof of the ABC conjecture after Mochizuki



Go Yamashita
Kyoto University, Japan
11:00am - 11:30amGroup Photo & Coffee Break
11:30am - 12:15pm

Siegel series and intersection numbers

(PDF)



Sungmun Cho
Pohang University of Science and Technology, Korea
12:15pm - 02:15pmLunch Break
02:15pm - 03:00pm

On the cyclotomic p-adic triple product L-functions



Ming-Lun Hsieh
Academia Sinica, Taiwan
03:00pm - 03:30pmCoffee Break
03:30pm - 04:15pm

A duality for Selmer group



Somnath Jha
Indian Institute of Technology, Kanpur, India

Tuesday, 26 Jun 2018

09:00am - 09:15amRegistration
09:15am - 10:00am

A non-vanishing theorem for the complex L-functions of Gross curves



Yongxiong Li
Tsinghua University, China
10:15am - 11:00am

BSD conjecture for elliptic curves and modular forms



Xin Wan
Chinese Academy of Sciences, China
11:00am - 11:30amCoffee Break
11:30am - 12:15pm

Mock modular forms and modular traces of singular moduli



Dohoon Choi
Korea University, Korea
12:15pm - 02:15pmLunch Break
02:15pm - 03:00pm

Densities and stability via factorization homology



Quoc P. Ho
Institute of Science and Technology Austria, Austria
03:00pm - 03:30pmCoffee Break
03:30pm - 04:15pm

Asymptotic distribution of Hecke eigenvalues on compact arithmetic quotients



Satoshi Wakatsuki
Kanazawa University, Japan

Wednesday, 27 Jun 2018

09:00am - 09:15amRegistration
09:15am - 10:00am

Extended monstrous moonshine

(PDF)



Scott Carnahan
University of Tsukuba, Japan
10:15am - 11:00am

2-Selmer groups of even hyperelliptic curves over function fields

(PDF)



Van Thinh Dao
National University of Singapore, Singapore
11:00am - 11:30amCoffee Break
11:30am - 12:15pm

On the diagonal cubic equation involving E2-numbers



Lilu Zhao
Shandong University, China
12:15pm - 02:15pmLunch Reception at IMS
02:15pmExcursion to Gardens by the Bay
Address: 18 Marina Gardens Drive, Singapore 018953

Thursday, 28 Jun 2018

09:00am - 09:15amRegistration
09:15am - 10:00am

Gross-Keating invariants of Hermitian forms



Tamotsu Ikeda
Kyoto University, Japan
10:15am - 11:00am

Noncongruence subgroups and nonabelian level structures for elliptic curves



William, Yun Chen
Institute for Advanced Study, USA
11:00am - 11:30amCoffee Break
11:30am - 12:15pm

The kernel of an Eisenstein prime at composite level



Hwajong Yoo
Institute for Basic Science, Korea
12:15pm - 02:15pmLunch Break
02:15pm - 03:00pm

Mixed Hodge structures with modulus

(PDF)



Takao Yamazaki
Tohoku University, Japan
03:00pm - 03:30pmCoffee Break
03:30pm - 04:15pm

Length-preserving factorization of affine Weyl groups



Ming-Hsuan Kang
National Chiao Tung University, Taiwan

Friday, 29 Jun 2018

09:00am - 09:15amRegistration
09:15am - 10:00am

Ramanujan and π



Heng Huat Chan
National University of Singapore, Singapore
10:15am - 11:00am

Hasse principles for multinorm equations



Eva Bayer
École Polytechnique Fédérale de Lausanne, Switzerland
11:00am - 11:30amCoffee Break
11:30am - 12:15pm

Logarithmitic capacity and equidistribution of algebraic integers



Jean-Pierre Serre
Collège de France, France
12:15pm - 02:15pmLunch Break
02:15pm - 03:00pm

Goldfeld’s conjecture and congruences between Heegner points



Chao Li
Columbia University, USA
03:00pm - 03:30pmCoffee Break
03:30pm - 04:15pm

Reductions of crystalline representations and hypergeometric polynomials



Go Yamashita
Kyoto University, Japan