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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 30, 2021  09:00-11:00  On the Cauchy problem for quasilinear dispersive PDEs IV 오성진  선택 
Jul 29, 2021  09:00-11:00  On the Cauchy problem for quasilinear dispersive PDEs III 오성진  선택 
Jul 27, 2021  09:00-11:00  On the Cauchy problem for quasilinear dispersive PDEs Ⅱ 오성진  선택 
Jul 26, 2021  09:00-12:00  On the Cauchy problem for quasilinear dispersive PDEs Ⅰ 오성진  선택 
Jul 22, 2021  14:00-16:00  Potential estimates for nonlinear elliptic measure data problems with obstacles 윤영훈  27-325 
Jul 15, 2021  19:30-20:30  Infinite time singularity formation in incompressible fluids ELGINDI, Tarek M  선택 
Jul 14, 2021  11:00-15:00  Transverse foliations for three-dimensional Reeb flows 김성찬  27-220 
Jul 13, 2021  10:00-12:00  Data-driven learning of the G-limits in homogenization problems 박준서  27-116 
Jul 09, 2021  10:00-12:00  Stability of radially symmetric, monotone vorticities of 2D Euler equations II 최규동  선택 
Jul 08, 2021  16:30-18:00  An explicit computation of wrapped Floer homology ring via Seidel maps 권명기  27-325 
Jul 08, 2021  10:00-12:00  Stability of radially symmetric, monotone vorticities of 2D Euler equations 임덕우  선택 
Jul 08, 2021  15:00-16:30  Volume growth of symplectomorphisms and Floer theory 김준태  27-325 
Jul 07, 2021  10:00-12:00  Stability of vortex patches of 2D Euler equations, II 최규동  선택 
Jul 06, 2021  10:00-12:00  Stability of vortex patches of 2D Euler equations 최규동  선택 
Jul 05, 2021  14:00-16:00  Algebraic operations on Fukaya category 조철현  129-406 
Jul 02, 2021  14:00-16:00  Lefschetz fibrations on cotangent bundles 이상진  129-301 
Jul 02, 2021  09:00-10:00  On Hölder continuous globally dissipative Euler flows 권현주  선택 
Jul 01, 2021  09:00-10:00  Some remarks on Kolmogorov's problem DRIVAS, Theodore  선택 
Jun 28, 2021  14:00-16:00  양자 과학기술을 위한 전자파와 통신의 기초 주창현  선택 
Jun 23, 2021  10:00-13:00  Local Holder regularity for nonlocal equations with variable powers 옥지훈  27-325