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
Dec 15, 2021  12:00-16:00  Toric actions on symplectic manifolds 노경민  129-309 
Jan 03, 2022  10:00-17:00  Moment Polytope 손범준  129-309 
Mar 14, 2022  10:00-17:00  < BK21-QSMS Toric Geometry Seminar > The Fredholm regularity of discs 이원준  129-309 
Apr 11, 2022  10:00-17:00  Moduli Space of Special Lagrangians in the Complement of an Anticanonical Divisor 김용환  129-309 
May 02, 2022  10:00-17:00  Wall Crossing Phenomena 김도형  129-309 
May 17, 2022  16:00-17:00  Virtual pullbacks, cosection localization, and Donaldson-Thomas theory of Calabi-Yau 4-folds 박현준  129-309 
May 23, 2022  10:00-17:00  (QSMS-BK21 Toric Geometry Seminar) SYZ Mirror Symmetry for Toric Calabi-Yau Manifolds 노경민  129-309 
Jul 11, 2022  14:30-16:30  <QSMS-BK21 Toric Seminar> Lefschetz Bifibrations and Matching Cycles 김용환  129-309 
Sep 20, 2022  15:00-16:00  Relation numbers and generalized Farey graphs 김경로  129-309 
Sep 23, 2022  13:00-15:00  Entropy rigidity and its applications to Diophantine approximation 김태형  129-309 
Sep 30, 2022  10:00-18:00  Introduction to Floer Homotopy: Bordism and Flow Categories 김경모  129-309 
Nov 09, 2022  14:00-16:00  Parabolic representations of knots and generalized Riley polynomials 김선화  129-309 
Dec 02, 2022  13:00-15:00  Equidistribution theorems and their application to Oppenheim conjecture-typed problems 한지영  129-309 
Dec 21, 2022  13:00-15:00  Length Spectrum and Gromov Hyperbolicity 서동균  129-309 
Dec 26, 2022  13:30-15:30  Negatively curved asymptotically harmonic manifolds with non-uniform lattices and related rigidity phenomena 김재린  129-309 
Dec 27, 2022  14:00-16:00  Negatively curved asymptotically harmonic manifolds with non-uniform lattices and related rigidity phenomena 김재린  129-309 
Mar 10, 2023  12:00-17:00  (QSMS-BK21 Symplectic Seminar) Mirror Symmetry for Log Calabi-Yau Surfaces 김현빈  129-309 
Apr 21, 2023  10:30-12:00  Non-freeness of certain two-parabolic groups 김상현  129-309 
May 17, 2023  16:00-18:00  Affinizations, R-matrices and reflection functors 박의용  129-309 
May 25, 2023  13:00-15:00  Commuting pairs of bounded linear operators acting on a Hilbert space—Structure properties Jasang Yoon  129-309