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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
Dec 14, 2015  14:00-17:00  The flatness and Schur product of mono-weakly hyponormal two variable weighted shifts Jasang Yoon  129-301 
Dec 15, 2015  14:00-17:00  Recursiveness and Propagation for 2-variable Weighted Shifts Jasang Yoon  129-406 
Dec 07, 2015  14:00-17:00  Nonlinear stochastic games, p-Laplace type equations and applications Mikko Parviainen  선택 
Jun 30, 2015  14:00-17:00  Rateless Lossy Compression via the Extremes 노승문  129-301 
May 17, 2016  14:00-17:00  Fully Nonlinear Elliptic Equations Lihe Wang  129-406 
May 18, 2016  14:00-17:00  Regualarity Theory for Elliptic and Parabolic Equations Lihe Wang  129-406 
Dec 03, 2015  14:00-17:00  Recent Progress in Numerical Analysis and Image Processing Stanley Osher  27-220 
Dec 27, 2017  14:00-17:00  Lakshmibai-Seshadri path model for highest weight modules over Kac-Moody algebras Satoshi Naito  129-301 
Feb 18, 2019  14:00-17:00  Recent Advances and New Challenges for Distributed Cooperative Control and Optimization in Complex Networks Wenwu Yu  27-220 
Apr 26, 2022  14:00-17:00  Lectures on Financial Mathematics Constantinos Kardaras  129-104 
Jul 09, 2019  14:00-17:00  Introduction to XVA and BSDEs, Funding Value Adjustment file Stephan Sturm  27-317 
Jul 11, 2019  14:00-17:00  Repo markets, credit risk, BSDEs with terminal jumps and projection of BSDEs file Stephan Sturm  27-317 
Jul 18, 2019  14:00-17:00  Robust XVA and indifference pricing; Quadratic BSDEs file Stephan Sturm  129-307 
Dec 20, 2019  14:00-17:00  The Well-posedness of Backward Stochastic Differential Equation: History and Recent Developments I 남기훈  27-116 
Apr 28, 2022  14:00-17:00  Lectures on Financial Mathematics Constantinos Kardaras  129-104 
May 03, 2022  14:00-17:00  Lectures on Financial Mathematics Constantinos Kardaras  선택 
May 05, 2022  14:00-17:00  Lectures on Financial Mathematics Constantinos Kardaras  129-104 
May 18, 2022  14:00-17:00  Lectures on Financial Mathematics Constantinos Kardaras  129-104 
Aug 16, 2022  14:00-17:00  Spectral theory of Hankel and Toeplitz operators 황인성  129-406 
Aug 17, 2022  14:00-17:00  Spectral theory of Hankel and Toeplitz operators 황인성  129-406