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

Subject
Sep 01, 2023  15:00-16:00  Pattern avoidance and smoothness of Hessenberg Schubert varieties 허지선  129-301 
Sep 01, 2023  16:00-17:00  Geometry of the twin manifolds of regular semisimple Hessenberg varieties and unicellular LLT polynomials 이동건  129-301 
Aug 29, 2023  13:30-15:00  Upper Bound of the Quantitative Oppenheim Conjecture 강민찬  129-301 
Aug 28, 2023  15:00-17:00  From Babylonian lunar observations to global surfaces of section Urs Frauenfelder  129-406 
Aug 25, 2023  14:00-16:00  Quantum-inspired algorithms for estimating matrix functions 임영롱  선택 
Aug 25, 2023  15:00-17:00  On the prime Selmer ranks of cyclic prime twist families of elliptic curves over global function fields 박선우  129-104 
Aug 23, 2023  14:00-17:00  Gromov-Witten invariants and mirror symmetry 오정석  129-104 
Aug 22, 2023  14:00-17:00  Gromov-Witten invariants and mirror symmetry 오정석  129-104 
Aug 21, 2023  14:00-17:00  Gromov-Witten invariants and mirror symmetry 오정석  129-104 
Aug 17, 2023  16:00-18:00  Spectral numbers in Tate Rabinowitz Floer Homology 2 Urs Frauenfelder  129-104 
Aug 17, 2023  15:00-16:00  Calderon-Zygmund estimates for the fractional p-Laplacian Lars Diening  27-325 
Aug 17, 2023  16:00-17:00  Lavrentiev gap for nonlocal and mixed double-phase problems Anna Kh.Balci  27-325 
Aug 17, 2023  14:30-16:00  Symplectic Torelli classes of positive entropy 김준태  129-104 
Aug 17, 2023  17:00-18:00  Lavrentiev gap for nonlocal and mixed double-phase problems Anna Kh.Balci  27-325 
Aug 16, 2023  15:00-18:00  KAM theory in active scalar equations, II Jaemin Park  129-104 
Aug 14, 2023  13:00-15:00  A uniform bound for solutions to a thermo-diffusive system 라준현  129-104 
Aug 14, 2023  16:00-18:00  Everywhere and partial regularity for parabolic systems with general growth file 옥지훈  27-325 
Aug 14, 2023  15:00-18:00  KAM theory in active scalar equations I Jaemin Park  129-104 
Aug 11, 2023  16:00-18:00  Spectral numbers in Tate Rabinowitz Floer Homology 1 Urs Frauenfelder  129-104 
Aug 11, 2023  14:00-16:00  Unconventional Tissue-Interfacing Bioelectronics 손동희  선택