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
2023-08-23  14:00-17:00  Gromov-Witten invariants and mirror symmetry 오정석  129-104 
2023-08-22  14:00-17:00  Gromov-Witten invariants and mirror symmetry 오정석  129-104 
2023-08-21  14:00-17:00  Gromov-Witten invariants and mirror symmetry 오정석  129-104 
2023-08-17  16:00-18:00  Spectral numbers in Tate Rabinowitz Floer Homology 2 Urs Frauenfelder  129-104 
2023-08-17  15:00-16:00  Calderon-Zygmund estimates for the fractional p-Laplacian Lars Diening  27-325 
2023-08-17  16:00-17:00  Lavrentiev gap for nonlocal and mixed double-phase problems Anna Kh.Balci  27-325 
2023-08-17  14:30-16:00  Symplectic Torelli classes of positive entropy 김준태  129-104 
2023-08-17  17:00-18:00  Lavrentiev gap for nonlocal and mixed double-phase problems Anna Kh.Balci  27-325 
2023-08-16  15:00-18:00  KAM theory in active scalar equations, II Jaemin Park  129-104 
2023-08-14  13:00-15:00  A uniform bound for solutions to a thermo-diffusive system 라준현  129-104 
2023-08-14  16:00-18:00  Everywhere and partial regularity for parabolic systems with general growth file 옥지훈  27-325 
2023-08-14  15:00-18:00  KAM theory in active scalar equations I Jaemin Park  129-104 
2023-08-11  16:00-18:00  Spectral numbers in Tate Rabinowitz Floer Homology 1 Urs Frauenfelder  129-104 
2023-08-11  14:00-16:00  Unconventional Tissue-Interfacing Bioelectronics 손동희  선택 
2023-08-10  16:00-17:00  Analytic approach to the double-phase systems 김원태  27-325 
2023-08-09  16:00-18:00  Euclidean algorithms are Gaussian over imaginary quadratic fields 이정원  129-301 
2023-08-08  16:30-17:30  Dynamic frictionless contact of a beam–rod system Jeongho Ahn  27-325 
2023-08-07  11:00-12:00  Neural Optimal Stopping Boundary A. Max Reppen  27-220 
2023-07-28  14:00-17:00  Systems of Conservation Laws and Stability of BV and Large L^2 Data Solutions Sam Krupa  27-325 
2023-07-28  11:00-18:00  Associative Yang-Baxter equations and Fukaya categories 노경민  선택