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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
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2014-10-02  14:30-15:45  Quantum groups and free Araki-Woods factors Michael Brannan  129-301 
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2014-10-10  10:30-12:00  TBA 허재성  129-301 
2014-10-13  16:30-17:45  Lower and Upper global bases of Modified quantum groups and Quantum coordinate rings Masaki Kashiwara  27-220 
2014-10-14  17:00-18:00  Concordance group and stable commutator length in braid groups Michael Brandenbursky  129-104 
2014-10-15  16:30-17:45  Lower and Upper global bases of Modified quantum groups and Quantum coordinate rings Masaki Kashiwara  27-220 
2014-10-16  11:00-12:15  Lower and Upper global bases of Modified quantum groups and Quantum coordinate rings Masaki Kashiwara  27-220 
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2014-10-20  17:15-18:45  Quantum Field theory and enhanced homotopy theory for period integrals 박지훈  129-406 
2014-10-21  17:00-18:00  Embedding of RAAG into Braid Groups 이상진  27-220 
2014-10-22  15:30-17:00  Lectures on Algebraic Quantum Field theory 박재석  129-406 
2014-10-22  17:15-18:45  Quantum Field theory and enhanced homotopy theory for period integrals 박지훈  129-406 
2014-10-24  16:00-17:00  Stochastic integration for adapted and instantly independent stochastic processes Hui-Hsiung Kuo  129-310 
2014-10-24  15:30-17:00  Lectures on Algebraic Quantum Field theory 박재석  129-406 
2014-10-24  17:15-18:45  Quantum Field theory and enhanced homotopy theory for period integrals 박지훈  129-406 
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