http://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
2017-05-10  16:00-18:00  Rigidity of group actions Nhan-Phu Chung  129-301 
2016-12-14  16:00-17:00  SOBOLEV CAPACITIES IN NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS Nguyen Cong Phuc  27-325 
2015-03-17  16:00-17:00  Some applications of the Funk-Hecke theorem to smoothing Neal Bez  129-406 
2016-04-29  16:00-18:00  Strichartz estimates for kinetic and Schrödinger equations Neal Bez  129-406 
2016-10-19  17:30-18:30  Estimates for the kinetic transport equation in hyperbolic Sobolev spaces Neal Bez  27-116 
2019-03-26  15:30-16:20  The nonlinear Brascamp-Lieb inequality Neal Bez  27-116 
2023-05-30  16:00-18:00  A pointwise convergence problem for orthonormal systems Neal Bez  27-116 
2018-11-16  16:00-18:00  The Laplacian on some round Sierpin´ski carpets and Weyl’s asymptotics for its eigenvalues file Naotaka Kajino  27-325 
2018-12-19  11:00-13:00  Wakimoto representations and Parabolic inductions for W-algebras Naoki Genra  27-325 
2016-11-15  11:00-13:00  Introduction to moduli space of flat connections over a Riemann surface 1 Nankuo Ho  129-406 
2016-11-17  11:00-13:00  Introduction to moduli space of flat connections over a Riemann surface 2 Nankuo Ho  129-406 
2015-05-26  16:00-17:00  학부 고년차 학생들을 위한 기하강연 1 Naichung Conan Leung  129-301 
2015-05-26  17:10-18:10  학부 고년차 학생들을 위한 기하강연 2 Naichung Conan Leung  129-301 
2015-05-27  11:00-12:00  학부 고년차 학생들을 위한 기하강연 3 Naichung Conan Leung  129-406 
2016-07-18  11:00-12:00  Modeling biology with simple geometric objects: Application to therapeutic effect on cancer cell mechanics Myles Kim  27-220 
2017-10-27  15:00-17:00  Metrical theory for the set Dirichlet non-improvable numbers Mumtaz Hussain  129-104 
2016-05-19  16:00-18:00  AMOEBAS AND COAMOEBAS Mounir Nisse  25-103 
2016-05-20  16:00-18:00  ON COAMOEBAS OF ALGEBRAIC HYPERSURFACES Mounir Nisse  25-103 
2022-04-19  16:00-16:30  Quasi-stationarity of the underdamped Langevin dynamics Mouad Ramil  129-101 
2018-11-28  16:00-18:00  Quantum information and random matrices Motohisa Fukuda  129-301