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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
Nov 24, 2022  16:30-18:00  2D incompressible Euler system in presence of sources and sinks Franck Sueur  선택 
Nov 23, 2022  16:00-18:00  Circle companions of Hardy classes 이우영  129-406 
Nov 22, 2022  17:00-18:00  Newton Polygons and Oscillatory Integral Operators 강민범  27-116 
Nov 21, 2022  17:00~18:00  On the emergent behaviors of Cucker-Smale type flocks 변준혁  27-220 
Nov 18, 2022  13:00-15:00  Regularity properties of Brjuno functions associated with classical continued fractions 이슬비  129-309 
Nov 18, 2022  13:00-15:00  Regularity properties of Brjuno functions associated with classical continued fractions 이슬비  129-309 
Nov 16, 2022  16:00-18:00  Levy processes on quantum groups and examples Ami Viselter  129-406 
Nov 16, 2022  16:00-17:00  Representations on the cohomology of moduli spaces 이동건  27-220 
Nov 15, 2022  17:00-18:00  L2-boundedness of Bochner-Riesz means on the Heisenberg group plane 전현우  27-116 
Nov 11, 2022  15:00-16:00  Regularity theory for nonautonomous problems with quasi-isotropic (p,q)-growth 옥지훈  129-309 
Nov 11, 2022  16:00-17:00  Recent advances in double-phase problems 김연호  129-309 
Nov 11, 2022  15:00-16:00  Fredholm Property of the Linearized Boltzmann Operator for a Mixture of Polyatomic Gases Marwa Shahine  27-325 
Nov 09, 2022  14:00-16:00  Parabolic representations of knots and generalized Riley polynomials 김선화  129-309 
Nov 09, 2022  16:00-18:00  Co-amenable quantum homogeneous spaces of compact Kac quantum groups Fatemeh Khosravi  129-406 
Nov 04, 2022  10:00-18:00  <QSMS-BK21 Symplectic Geometry Seminar> Introduction to Floer Homotopy: Kuranishi Structures 김용환  27-317 
Nov 04, 2022  16:00-17:00  Approximations with mod 2 congruence conditions 이슬비  27-325 
Nov 03, 2022  10:00-11:00  Global well-posedness of slightly supercritical SQG equation and exponential gradient estimate 최형준  선택 
Nov 02, 2022  16:00-18:00  A survey of amenability: from operator algebras to algebras of harmonic analysis Nico Spronk  129-406 
Nov 01, 2022  16:00-16:30  Stable diffeomorphism of exotic 4-manifolds 강성경  129-101 
Nov 01, 2022  16:40-17:10  Surgery techniques in 4-manifolds 최학호  129-101