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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
Jul 02, 2014  15:00-16:00  Introductory Panorama of Derived Algebraic Geometry III 유필상  129-301 
Jul 02, 2014  16:00-17:00  Decoupling Techniques for Coupled PDEs in Multi-physics Applications Mo Mu  선택 
Jul 07, 2014  10:00-12:00  Introduction to Large Deviation Theory I 강완모  27-325 
Jul 09, 2014  10:00-12:00  Introduction to Large Deviation Theory II 강완모  27-116 
Jul 11, 2014  10:00-12:00  Introduction to Large Deviation Theory III 강완모  27-325 
Jul 11, 2014  15:00-17:00  ON REGULARITY OF OPTIMAL TRANSPORTATION AND THE MONGE-AMPERE EQUATION Young-Heon Kim  27-220 
Jul 16, 2014  14:00-15:00  Local structure of finite groups: fusion systems via bisets and partial groups Sejong Park  129-301 
Jul 24, 2014  16:00-18:00  Arithmetically Cohen - Macaulay vector bundles on hypersurfaces in P4 Carlo Madonna  129-310 
Jul 28, 2014  14:00-16:00  Regularity of Navier-Stokes equations and related equations based on De Giorgi method I Alexis F. Vasseur  27-220 
Jul 29, 2014  10:00-12:00  The best hope for the geometric Langlands program Philsang Yoo  129-406 
Jul 29, 2014  10:00-12:00  Regularity of Navier-Stokes equations and related equations based on De Giorgi method II Alexis F. Vasseur  27-220 
Jul 29, 2014  14:00-15:00  Regularity of Navier-Stokes equations and related equations based on De Giorgi method III Alexis F. Vasseur  27-220 
Aug 27, 2014  16:00-17:00  Remarks on Chern-Simons equations in one space dimension 허형진  27-220 
Aug 29, 2014  16:00-19:00  Arithmetic Symmetry 김민형  129-101 
Sep 05, 2014  11:00-13:00  Stable pair invariants and surfaces with holomorphic 2-form Martijn Kool  129-307 
Sep 12, 2014  10:30-12:00  Amenability properties of central Fourier algebras of compact groups Nico Spronk  129-301 
Sep 16, 2014  16:00-18:30  Universality for random matrices 이지운  129-301 
Sep 22, 2014  16:00-17:00  Stability of stationary solution for the Lugiato-Lefever equation Yoshio Tsutsumi  27-116 
Sep 24, 2014  16:00-17:00  Properties of Truncated Toeplitz operators 강동오  27-220 
Sep 26, 2014  10:30-12:00  A Kirchberg type tensor theorem for operator systems 한경훈  129-301