https://www.math.snu.ac.kr/board/files/attach/images/698/d7f811aae9dfd8ef6b3d16c547a28844.png
seminars
Date 2021-04-26
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.

제목
2022-05-30  16:00-18:00  Fluctuation results for size of the vacant set for random walks on discrete torus 김대성  129-406 
2022-05-30  16:00-17:30  Counting surfaces on Calabi-Yau 4-folds: Reduced virtual cycles Martijn Kool  27-325 
2022-05-25  16:00-18:00  Spectral Heat Content for Jump Processes file Hyunchul Park  129-406 
2022-05-25  16:00-18:00  Simplicity and the ideal intersection property for essential groupoid C*-algebras Sven Raum  선택 
2022-05-24  14:00-15:00  Dynamics on homogeneous spaces and Diophantine approximation 김태형  129-406 
2022-05-23  16:00-17:00  Estimates of heat kernels for jump processes with degeneracy and critical killing 조수빈  129-104 
2022-05-23  10:00-17:00  (QSMS-BK21 Toric Geometry Seminar) SYZ Mirror Symmetry for Toric Calabi-Yau Manifolds 노경민  129-309 
2022-05-23  16:00-17:30  Counting surfaces on Calabi-Yau 4-folds: Reduced virtual cycles Martijn Kool  27-325 
2022-05-20  16:00-18:00  Distribution of Hecke eigenvalues of GL_2 automorphic representations Dohoon Choi  27-325 
2022-05-20  09:30-11:00  Introduction to the National Institute for Mathematical Sciences and the Future of Industrial Mathematics 김현민  27-116 
2022-05-20  11:00-12:00  Nonlinear partial differential equations on irregular domains 이세찬  27-220 
2022-05-19  14:00-16:00  Symplectic Criteria on Stratified Uniruledness of Affine Varieties and Applications II Dahye Cho  129-406 
2022-05-19  15:30-18:30  A production equilibrium model for capacity expansion (WIP) Constantinos Kardaras  129-104 
2022-05-18  16:00-18:00  Optimal transport theory in free probability 남경식  선택 
2022-05-18  17:00-18:00  A dynamic contact problem with Signorini’s condition and the normal compliance file Jeongho Ahn  27-325 
2022-05-18  14:00-17:00  Lectures on Financial Mathematics Constantinos Kardaras  129-104 
2022-05-17  16:00-16:30  Bilinear Bochner-Riesz means and square function file Kalachand shuin  129-101 
2022-05-17  16:00-17:00  Virtual pullbacks, cosection localization, and Donaldson-Thomas theory of Calabi-Yau 4-folds 박현준  129-309 
2022-05-17  16:40-17:10  On norm attaining functions 정민구  129-101 
2022-05-17  14:00-16:00  Symplectic Criteria on Stratified Uniruledness of Affine Varieties and Applications I Dahye Cho  129-406