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
2022-08-17  11:00-12:00  Almost minimizers for the thin obstacle problem with variable coefficients 전성민  27-220 
2022-11-16  16:00-17:00  Representations on the cohomology of moduli spaces 이동건  27-220 
2022-11-21  17:00~18:00  On the emergent behaviors of Cucker-Smale type flocks 변준혁  27-220 
2022-12-02  15:00-16:00  Regularity theory for local and nonlocal measure data problems 송경  27-220 
2022-12-02  16:00-17:00  Nonlocal elliptic equations with Orlicz growth 김효진  27-220 
2022-12-07  15:30-16:30  Universal Approximation in Deep Learning 황건호  27-220 
2022-11-25  15:00-16:00  Metastability of Langevin dynamics 이중경  27-220 
2022-12-06  16:00-17:00  Pointwise convergence of the Bochner-Riesz means for the special Hermite expansion 정은희  27-220 
2022-12-15  10:00-11:00  Diophantine approximation, Continued fractions, and Dynamical spectrums 심덕원  27-220 
2022-12-21  16:00-18:00  Dynamics on homogeneous spaces: a quantitative account Amir Mohammadi  27-220 
2022-12-16  14:00-15:00  Dynamical invariants and measures on metric graphs and Applications in medical science 박재민  27-220 
2022-12-23  14:00-16:00  Dynamics on homogeneous spaces: a quantitative account Amir Mohammadi  27-220 
2023-01-09  13:00-14:00  Effective Density for Random Walks on Homogeneous Spaces 김우연  27-220 
2023-03-17  16:00-17:00  Well-posedness of some MHD models 배한택  27-220 
2023-04-14  16:00-17:00  On the emergent behaviors of the inertial Kuramoto model 조항준  27-220 
2023-05-25  14:00-16:00  Symplectic field theory and codimension-2 stable Hamiltonian submanifolds Richard Siefring  27-220 
2023-08-07  11:00-12:00  Neural Optimal Stopping Boundary A. Max Reppen  27-220 
2023-09-25  16:00-17:00  A survey on generalized Schr"{o}dinger operators along curves Wenjuan Li  27-220 
2023-09-25  17:00-18:00  A sharp Mizohata-Takeuchi-type estimate for the cone 함세헌  27-220 
2023-10-17  14:00-15:00  A Data-Scientific Approach to Representation Theory: Case Study of Kronecker Coefficients 이규환  27-220