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
2016-02-12  15:00-16:00  The index of an Eisenstein ideal 유화종  129-310 
2016-04-25  16:00-17:00  Minimal number of singular fibers in Lefschetz fibrations over the torus file 윤기헌  129-406 
2023-06-05  14:30-16:30  Surgery along nullhomologous tori and Lagrangian tori 윤기헌  129-104 
2023-12-06  16:00-17:30  A constructionn of surface bundle over surface with positive signature based on Baykur and Korkmaz's construction 윤기헌  27-325 
2016-03-23  16:00-17:30  Random Fourier series on compact quantum groups and a Littlewood type theorem file 윤상균  129-301 
2015-12-04  10:00-11:00  New deformation of convolution algebras and Fourier algebras and its operator algebra characterization 윤상균  129-301 
2016-09-21  16:30-18:00  Hardy-Littlewood type inequalities on compact quantum groups 윤상균  129-301 
2018-03-14  16:00-18:00  Capacity estimates for channels arising from the representation theory 윤상균  129-301 
2017-11-08  16:00-17:00  The non-commutative Khintchine inequality and its implication on Fourier multipliers from L^p into l^1 윤상균  129-301 
2022-10-12  16:00-18:00  Haagerup inequalities on non-Kac free orthogonal quantum groups 윤상균  129-406 
2023-10-04  17:00-18:30  Random matrices and operator algebras 윤상균  129-301 
2023-10-11  17:00-18:30  Random matrices and quantum information theory 윤상균  129-301 
2022-12-13  16:30-17:30  Superconformal Structures of Supersymmetric Free Fermion Vertex Algebras 윤상원  129-406 
2017-04-14  15:00-17:00  Kinetic model for polyatomic particles 윤석배  129-310 
2016-11-01  17:00-18:30  Twisted alexander polynomial 윤석범  129-406 
2017-10-12  14:00-15:30  Log canonical threshold from the Milnor fiber of singularity 윤영호  129-301 
2023-07-27  10:30-14:30  Singularities 집중강연 윤영호  27-325 
2019-10-25  14:00-16:00  Fractional differentiability results for nonlinear measure data problems with coefficients file 윤영훈  129-104 
2021-07-22  14:00-16:00  Potential estimates for nonlinear elliptic measure data problems with obstacles 윤영훈  27-325 
2022-12-03  14:00-15:00  A relationship between finite difference operators and mean oscillation operators 윤영훈  27-325