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seminars
Date 2021-04-26
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.

제목
2018-04-19  16:00-18:30  Decompositions of 3-manifolds and hyperbolic geometry Jessica Purcell  27-116 
2018-04-20  16:00-17:30  Decompositions of 3-manifolds and hyperbolic geometry (second talk) Jessica Purcell  129-104 
2017-06-22  14:00-15:00  Higher order multipoint flux mixed finite element methods Jeonghun Lee  선택 
2015-05-21  16:00-17:00  RECENT TRENDS: DYNAMIC CONTACT PROBLEMS Jeongho Ahn  129-104 
2016-05-16  16:00-17:00  DYNAMIC CONTACT OF NONLINEAR BEAMS Jeongho Ahn  27-325 
2017-06-06  16:00-17:00  Mathematical and numerical approaches to dynamic contact of nonlinear springs Jeongho Ahn  27-325 
2019-12-23  14:00-15:00  A frictional thermoviscoelastic nonlinear beam problem Jeongho Ahn  27-116 
2022-05-18  17:00-18:00  A dynamic contact problem with Signorini’s condition and the normal compliance file Jeongho Ahn  27-325 
2022-06-04  09:40-10:10  Regularity results for the nonlinear thin obstacle problem with double phase in the borderline case Jehan Oh  27-325 
2017-04-27  13:00-14:00  Hamiltonian chains with dissipation Jean-Pierre Eckmann  27-220 
2017-04-27  14:00-15:00  Martin Hairer and KPZ, The Fields Medal from a physicist's point of view Jean-Pierre Eckmann  27-220 
2014-03-17  17:00-18:00  Topological Invariants in Disordered Systems Jean V. Bellissard  129-301 
2014-03-18  14:00-15:00  Topological Invariants in Disordered Systems Jean V. Bellissard  129-301 
2014-03-19  17:00-18:00  Topological Invariants in Disordered Systems Jean V. Bellissard  129-301 
2014-03-21  10:30-12:00  Topological Invariants in Disordered Systems jean V. Bellissard  129-301 
2019-03-26  16:30-17:20  Inhomogeneous Strichartz estimates for certain critical cases Jayson Cunanan  27-116 
2018-10-30  15:00-16:00  The linear and nonlinear wave equations with critical Lorentz regularity file Javier Ramos  27-116 
2017-07-28  16:00-17:00  Recent developments on complex Tauberian theorems for Laplace Jason Vindas  27-116 
2014-11-04  17:00-18:00  Mapping class groups Jason Behrstock  129-104 
2015-12-14  14:00-17:00  The flatness and Schur product of mono-weakly hyponormal two variable weighted shifts Jasang Yoon  129-301