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.

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Jun 06, 2017  16:00-17:00  Mathematical and numerical approaches to dynamic contact of nonlinear springs Jeongho Ahn  27-325 
Dec 23, 2019  14:00-15:00  A frictional thermoviscoelastic nonlinear beam problem Jeongho Ahn  27-116 
May 18, 2022  17:00-18:00  A dynamic contact problem with Signorini’s condition and the normal compliance file Jeongho Ahn  27-325 
Dec 19, 2022  11:00-12:00  The thermoviscoelastic nonlinear beam model with Coulomb friction dry law Jeongho Ahn  27-325 
Jun 04, 2022  09:40-10:10  Regularity results for the nonlinear thin obstacle problem with double phase in the borderline case Jehan Oh  27-325 
Apr 27, 2017  13:00-14:00  Hamiltonian chains with dissipation Jean-Pierre Eckmann  27-220 
Apr 27, 2017  14:00-15:00  Martin Hairer and KPZ, The Fields Medal from a physicist's point of view Jean-Pierre Eckmann  27-220 
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Mar 18, 2014  14:00-15:00  Topological Invariants in Disordered Systems Jean V. Bellissard  129-301 
Mar 19, 2014  17:00-18:00  Topological Invariants in Disordered Systems Jean V. Bellissard  129-301 
Mar 21, 2014  10:30-12:00  Topological Invariants in Disordered Systems jean V. Bellissard  129-301 
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Oct 30, 2018  15:00-16:00  The linear and nonlinear wave equations with critical Lorentz regularity file Javier Ramos  27-116 
Jul 28, 2017  16:00-17:00  Recent developments on complex Tauberian theorems for Laplace Jason Vindas  27-116 
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Dec 15, 2015  14:00-17:00  Recursiveness and Propagation for 2-variable Weighted Shifts Jasang Yoon  129-406 
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