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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
May 28, 2019  17:00-19:00  Uniform dimension results for the inverse images of symmetric Levy processes 박현철  27-220 
Jan 05, 2024  16:00-17:00  Spectral heat content for isotropic Lévy processes 박현철  27-116 
Nov 14, 2016  16:00-17:00  Financial Mathematics, Old and New 박형빈  27-220 
Mar 08, 2016  17:30-19:30  Ross Recovery with Martin Integral Representation 박형빈  129-307 
Nov 22, 2016  16:00-18:00  Finite index subgroups of right-angled Artin groups 박효원  129-104 
Apr 06, 2018  13:30-15:30  양자알고리즘 및 양자머신러닝 방정호  129-301 
Mar 16, 2021  16:40-17:10  Quantum BGK model of the Boltzmann equation near a global equilibrium 배기찬  129-101 
Mar 10, 2023  14:00-16:00  Introduction to fiber-optic communication system 배성현  선택 
Jul 02, 2019  15:00-17:30  Exact Lagrangian fillings of Legendrian torus knots. Lec 1,2 배영진  129-310 
Jul 03, 2019  16:00-17:00  Exact Lagrangian fillings of Legendrian torus knots.Lec 3 배영진  선택 
Jul 22, 2022  14:00-16:00  Recursive Quantum Approximate Optimization Algorithm 배은옥  선택 
Sep 28, 2021  14:00-15:00  Global existence of smooth solutions to the 3D Vlasov-Poisson system 배준식  선택 
Jun 22, 2017  16:00-17:30  When quantum theory meets information theory 배준우  선택 
Jun 24, 2022  14:40-16:40  Quantum amplitude amplification operators 배준우  선택 
Oct 04, 2016  17:00-18:30  Based loop space and Floer homology 배한울  129-406 
Dec 03, 2018  16:00-18:00  Ring structure of wrapped Floer homology of real Lagrangians in Brieskorn Milnor fibers 배한울  129-406 
May 18, 2021  16:40-17:10  A brief introduction to Lagrangian Floer theory 배한울  129-101 
Mar 17, 2023  16:00-17:00  Well-posedness of some MHD models 배한택  27-220 
Apr 03, 2015  16:30-17:30  Existence of strong solutions to shear thickening incompressible fluids 배형옥  129-301 
May 31, 2019  16:00-17:00  INTERACTION OF FLUID AND RIGID BODY OR PARTICLES, AND APPLICATIONS 배형옥  27-116