https://www.math.snu.ac.kr/board/files/attach/images/698/d7f811aae9dfd8ef6b3d16c547a28844.png
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
Sep 21, 2022  18:00-19:00  An overview on noncommutative maximal inequalities Guixiang Hong  선택 
Sep 27, 2022  15:00-16:00  Categories of Whittaker Modules over Lie superalgebras and Categorification of Fock Spaces Shun-Jen Cheng  선택 
Sep 28, 2022  16:00-18:00  A universal framework for entanglement detection of invariant quantum states 박상준  선택 
Oct 05, 2022  16:00-18:00  A universal framework for entanglement detection of invariant quantum states 박상준  선택 
Oct 18, 2022  10:00-12:00  Remarks on the long-time dynamics of 2D Euler Theodore Drivas  선택 
Oct 25, 2022  10:00-11:00  Rational liftings and gRSK Travis Scrimshaw  선택 
Oct 25, 2022  11:00-12:00  Crystal Invariant Theory Travis Scrimshaw  선택 
Oct 21, 2022  14:00-15:00  Regularity properties of Brjuno functions associated with classical continued fractions 이슬비  선택 
Nov 03, 2022  10:00-11:00  Global well-posedness of slightly supercritical SQG equation and exponential gradient estimate 최형준  선택 
Nov 24, 2022  16:30-18:00  2D incompressible Euler system in presence of sources and sinks Franck Sueur  선택 
Dec 02, 2022  10:00-11:00  Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one Julie Desjardins  선택 
Jan 17, 2023  11:00-12:00  Intrinsic Diophantine approximation of circles and spheres 차병철  선택 
Jan 11, 2023  16:00-17:00  Dimension theory of groups of diffeomorphisms of the circle. Weikun He  선택 
Jan 13, 2023  13:00-15:00  Correlated Quantum Randomness and Koashi-Imoto Theorem 이석형  선택 
Jan 13, 2023  15:00-17:00  Nonclassicality and Entanglement beyond Gaussian Regime 나현철  선택 
Feb 07, 2023  09:00-11:00  Introduction to i-quantum groups Weiqiang Wang  선택 
Feb 13, 2023  09:00-11:00  Introduction to i-quantum groups Weiqiang Wang  선택 
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 
Feb 07, 2023  10:00-12:00  Introduction to random graphs, and thresholds 박진영  선택