https://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
Apr 10, 2019  11:00-12:15  Performance and Scalability Analysis of a Coupled Dual Porosity Stokes Model Implemented with FEniCS Craig C. Douglas  선택 
Jan 19, 2022  10:00-11:30  Marcinkiewicz regularity for singular parabolic $p$-Laplace type equations with measure data file 박정태  선택 
Jan 26, 2022  11:30-1300  Computing Husimi functions using COMSOL Multiphysics file 김주만  선택 
Jan 26, 2022  10:00-10:30  Topological structure of nearly degenerated exceptional points file 김진욱  선택 
Mar 23, 2022  16:00-18:00  Local and multilinear noncommutative de Leeuw theorems Martijn Caspers  선택 
Apr 20, 2022  16:00-18:00  Hilbert transforms for groups acting on R-trees Runlian Xia  선택 
May 11, 2022  16:00-17:00  Schatten properties of quantum derivatives on quantum tori file Xiao Xiong  선택 
Jun 10, 2022  14:00-16:00  Quantum enhanced multiple-phase estimation with multi-mode N00N states 임향택  선택 
Aug 23, 2022  10:00-12:00  Well-posedness of logarithmic spiral vortex sheets Wojciech Ozanski  선택 
Oct 04, 2022  16:00-17:00  On an extreme value law for the unipotent flow on $\mathrm{SL}_2(\mathbb{R})/\mathrm{SL}_2(\mathbb{Z})$. Keivan Mallahi Karai  선택 
Nov 04, 2020  12:30-14:00  Hamilton-Jacobi-Bellman equations for maximum entropy optimal control 김정호  선택 
Nov 10, 2020  11:00-13:00  Exponential mixing of geodesic flows for geometrically finite hyperbolic manifolds with cusps file Wenyu Pan  선택 
Dec 09, 2020  14:00-15:00  Concentration of measure phenomenon in sub-critical exponential random graphs 남경식  선택 
Dec 10, 2020  14:30-16:45  Zeta함수와 L함수에 대한 역사적 고찰ⅲ 신석우  선택 
Dec 17, 2020  14:30-16:45  Zeta함수와 L함수에 대한 역사적 고찰ⅳ 신석우  선택 
Dec 23, 2020  10:00-13:00  Machine-learning for mathematics: case study of number fields and elliptic curves 이규환  선택 
Dec 23, 2020  16:00-18:00  Diagonal action on PGL(3) over positive characteristic 권상훈  선택 
Jan 07, 2021  14:30-16:45  Zeta함수와 L함수에 대한 역사적 고찰ⅶ 신석우  선택 
Jan 15, 2021  15:00-17:00  Voronoi summation formulas and the first moments of L-functions Min Lee  선택 
Feb 01, 2021  14:00-15:30  Auslander-Reiten transformation and tau-tilting theory Sota Asai  선택