The University of Hong Kong

HKU Number Theory Days 2021

Schedule

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.




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