The University of Hong Kong

HKU Number Theory Days 2021


The dates and themes of talks are as follows:

July 21: Automorphic forms and L-functions

Hong Kong Time Speaker & Title
10:35 - 11:25 Zhi Qi, Zhejiang University
Moments of Central L-values for Maass Forms over Imaginary Quadratic Fields
11:40 - 12:30 Yueke Hu, Tsinghua University
Refined Petersson/Kuznetsov trace formulae and their applications
14:35 - 15:25 Bingrong Huang, Shandong University
Quantum variance for automorphic forms
15:40 - 16:30 Olga Balkanova, Steklov Mathematical Institute
The second moment of symmetric square L-functions over Gaussian integers

July 22: Galois actions in number theory and arithmetic geometry

Hong Kong Time Speaker & Title
13:30 - 14:20 Bo-Hae Im, Korea Advanced Institute of Science and Technology
Rational curves on the quotient varieties of abelian varieties and its application to the rank problem of abelian varieties
14:30 - 15:20 Anna Cadoret, Sorbonne Université
Etale ultraproduct coefficients and applications
15:30 - 16:20 Gebhard Böckle, University Heidelberg
Deformation rings and images of Galois representations
16:30 - 17:20 Chung Pang Mok, SooChow University
On certain special values of L-functions associated to elliptic curves and real quadratic fields
17:30 - 18:00 Peter Graef, University Heidelberg
Computing L-invariants via the Greenberg-Stevens formula
18:10 - 18:30 Haohao Liu, École normale supérieure (Paris)
Siegel’s theorem via the Lawrence-Venkatesh method

July 23: Number theory and homogeneous dynamics

Hong Kong Time Speaker & Title
15:00 - 15:50 Nicolas de Saxcé, Université Paris-Nord
Arithmetic groups and diophantine approximation
16:00 - 16:50 Jialun Li, University of Zurich
Counting and equidistribution of compact maximal flats
17:00 - 17:15 Jincheng Tang, The University of Hong Kong
An introduction to the sum-product phenomena and some of their applications
17:30 - 18:20 (Rescheduled from July 22) Anna Cadoret, Sorbonne Université
Etale ultraproduct coefficients and applications
20:30 - 21:20 Alex Kontorovich, Rutgers University
Length Saturation for Zariski Dense Groups

July 26: Quadratic forms and lattice theory

Hong Kong Time Speaker & Title
10:00 - 10:50 Byeong-Kweon Oh, Seoul National University
Recoverable lattices
11:00 - 11:20 Mingyu Kim, Sungkyunkwan University
Tight universal sums of polygonal numbers
11:30 - 12:20 Ryoko Tomiyasu, Kyushu University
Packing theory derived from phyllotaxis and products of linear forms
14:00 - 14:50 Jangwon Ju, University of Ulsan
Ternary quadratic forms representing the same integers
15:00 - 15:20 Daejun Kim, The University of Hong Kong
The pentagonal theorem of sixty-three and generalizations of Cauchy's lemma
15:30 - 15:50 Zilong He, Southern University of Science and Technology
On 2-universal integral quadratic forms over local fields
16:00 - 16:15 Kush Singhal, The University of Hong Kong
Near-miss Identities and Computing Spinor Genera of Ternary Quadratic Forms with Congruence Conditions
16:25 - 16:45 Jingbo Liu, Texas A&M University-San Antonio
On a Waring's problem for Hermitian lattices

July 27: Frontiers of Mathematics Lecture

Hong Kong Time Speaker & Title
20:30 - 21:40 Alex Kontorovich, Rutgers University
Geometry and Arithmetic of Sphere Packings

Poster of Frontiers of Mathematics Lecture

Titles and Abstracts

Last updated on July 23. Click here for download.

Institute of Mathematical Research
Department of Mathematics, The University of Hong Kong
©HKU Number Theory Days 2021