http://www.math.snu.ac.kr/board/files/attach/images/698/d7f811aae9dfd8ef6b3d16c547a28844.png
seminars
Date Apr 26, 2021
Speaker Jan Vonk
Dept. Leiden University
Room 선택
Time 15:30-16:30

※ Zoom Meeting ID : 817 7139 5843
   Passcode : 165930


Singular moduli are special values of the j-function at imaginary quadratic arguments. They play a central role in CM theory and have close connections with the class field theory of imaginary quadratic fields. With the advent of the work of Gross and Zagier, investigations of the prime factorisation of differences of singular moduli have led to a renaissance of the subject, and paved the way for their celebrated work on Heegner points on elliptic curves.

In this series of talks, we will explore what happens when we replace the imaginary quadratic fields in CM theory with real quadratic fields, and propose a framework for a conjectural 'RM theory', based on the notion of rigid meromorphic cocycles, introduced in joint work with Henri Darmon. We will start with a discussion of classical CM theory and the work of Gross and Zagier, particularly the analytic arguments based on the diagonal restrictions of a family of Eisenstein series studied by Hecke in the early 20th century. We will then discuss the theory of RM singular moduli, as well as the extent to which arguments based on analytic families of modular forms can be fruitful. In particular, I will discuss recent progress obtained in various joint works with Henri Darmon and Alice Pozzi.

Subject
Sep 19, 2023  16:00-17:00  Critical weighted inequalities of the spherical maximal function 이주영  27-116 
Nov 28, 2023  16:00-17:00  L^(d+2)/2 bound for Nikodym maximal function 박민석  27-116 
Nov 15, 2019  16:00-17:00  Tannakian reconstruction of representable presheaves of groups on the category of cocommutative differential graded coalgebras 이재혁  27-325 
Dec 12, 2023  16:00-17:00  수학을 포기하지 않는 자를 만들기 위한 대학 수학 교육 서인석  129-101 
Nov 15, 2019  16:00-17:00  On O(3) Maxwell-Chern-Simons equations on a 2-D flat torus 송경우  129-104 
Dec 13, 2019  16:00-17:00  Divisibility property of the Fourier coefficients of (mock) modular functions 강순이  27-325 
Dec 31, 2019  16:00-17:00  The family of Julia sets with Ahlfors regular conformal dimension 1 박인성  27-116 
Jan 08, 2020  16:00-17:00  Two-row W-graphs in affine type A 김동관  129-301 
Jan 28, 2021  16:00-17:00  inite Horizon Portfolio Selection Problem with a Drawdown Constraint on Consumption 전준기  27-116 
Apr 06, 2021  16:00-17:00  Hamiltonian structure, Stability, and Variational methods 석진명  선택 
May 18, 2021  16:00-17:00  What is abstract harmonic analysis? 이훈희  선택 
May 25, 2021  16:00-17:00  Estimates for Spectral projectors on the torus 권예현  선택 
Jun 04, 2021  16:00-17:00  Problems for the Hermite and special Hermite expansions 유재현  27-220 
Jun 01, 2021  16:00-17:00  On the Bochner-Riesz operator in R^3 정은희  선택 
Jun 17, 2021  16:00-17:00  Pairs Trading of two Assets with uncertainty in co-integration's level of mean reversion 이상민  27-325 
Nov 12, 2021  16:00-17:00  Regularized Super Resolution Methods for the Compound Eye Vision Imaging System with a Planar MLA 박진제  27-220 
Dec 01, 2021  16:00-17:00  Optimal gradient estimates for elliptic equations with nonstandard growth conditions 임민규  27-220 
Dec 15, 2021  16:00-17:00  Finding a needle in sand beach: l_p regularization in Ensemble Kalman Inversion 이윤상  129-310 
Dec 23, 2021  16:00-17:00  Weighted estimates for maximal product of spherical averages file Kalachand Shuin  선택 
Dec 24, 2021  16:00-17:00  Weighted estimates for bilinear Bochner-Riesz means at the critical index file Kalachand Shuin  선택