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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
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Mar 31, 2021  16:00-18:00  Concavity of certain trace functionals and applications to data processing inequalities Haonan Zhang  129-406 
Apr 13, 2022  16:00-18:00  L_p-L_q Fourier multipliers on locally compact quantum groups Haonan Zhang  선택 
Oct 13, 2023  09:00-12:00  HYKE-Hwarang Intensive Lectures Hayato Chiba  27-325 
Feb 15, 2023  10:00-12:00  Invitation to crystal bases for quantum symmetric pairs Hideya Watanabe  선택 
Feb 17, 2023  10:00-11:00  Invitation to crystal bases for quantum symmetric pairs Hideya Watanabe  선택 
Mar 20, 2024  15:00-16:30  Critical norm blow-up for the energy supercritical nonlinear heat equation Hideyuki Miura  27-116 
Aug 11, 2017  11:00-12:00  The localization technique and its application to Schubert calculus Hiep Dang  129-301 
Nov 07, 2014  11:00-12:00  Hybrid Parallelization and GPGPU for Fast Computation of the Radiative Transport Equation Hiroshi Fujiwara  선택 
Apr 24, 2017  15:30-17:30  THE ROKHLIN PROPERTY FOR ACTIONS OF DISCRETE GROUPS ON C*-ALGEBRAS AND RELATED TOPICS Hiroyuki Osaka  129-301 
Apr 25, 2017  15:30-17:30  THE ROKHLIN PROPERTY FOR ACTIONS OF DISCRETE GROUPS ON C*-ALGEBRAS AND RELATED TOPICS Hiroyuki Osaka  129-301 
Apr 26, 2017  16:00-17:30  THE ROKHLIN PROPERTY FOR ACTIONS OF DISCRETE GROUPS ON C*-ALGEBRAS AND RELATED TOPICS Hiroyuki Osaka  129-301 
Oct 25, 2022  15:00-18:00  Ergodic theory of complex continued fraction maps Hitoshi Nakada  129-406 
Oct 10, 2019  13:00-13:45  Self-Similarity Breaking of Cosmological Solutions with Collisionless Matter Ho Lee  27-220 
Mar 28, 2023  14:00-15:30  Higher rank lattice actions with positive entropy Homin Lee  129-301 
Nov 26, 2018  15:00-16:30  Generically smooth components of the Hilbert scheme of curves via ruled surfaces file Hristo Iliev  27-325 
Nov 01, 2018  11:00-12:00  Self-Organized Hydrodynamic models for nematic alignment and the application to myxobacteria Hui Yu  27-220 
Oct 24, 2014  16:00-17:00  Stochastic integration for adapted and instantly independent stochastic processes Hui-Hsiung Kuo  129-310 
Nov 28, 2014  11:00-11:50  Stochastic modeling of biochemical networks Hye-Won Kang  129-104 
May 25, 2022  16:00-18:00  Spectral Heat Content for Jump Processes file Hyunchul Park  129-406