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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
Jan 19, 2022  10:00-11:30  Marcinkiewicz regularity for singular parabolic $p$-Laplace type equations with measure data file 박정태  선택 
Jan 18, 2023  16:00-17:00  Porous medium equations with measure data 박정태  27-325 
Sep 13, 2017  16:00-17:30  Toeplitz and Hankel operators induced by measures file 박재휘  129-301 
Sep 19, 2018  16:00-17:30  Reducing subspaces of tensor products of operators and representation of permutation group file 박재휘  129-301 
Apr 10, 2015  16:00-17:00  Quantisation of toric Calabi-Yau Hypersurface. 박재석  129-301 
Oct 20, 2014  15:30-17:00  Lectures on Algebraic Quantum Field theory 박재석  129-406 
Oct 22, 2014  15:30-17:00  Lectures on Algebraic Quantum Field theory 박재석  129-406 
Oct 24, 2014  15:30-17:00  Lectures on Algebraic Quantum Field theory 박재석  129-406 
Apr 10, 2015  15:00-16:00  Geometry of Homotopy Probability Theory 박재석  129-301 
May 20, 2016  14:00-16:00  Non-commutative quantum field theory and Chen’s iterated path integrals 박재석  25-103 
Oct 18, 2019  16:30-17:30  Introduction to rational homotopy theory 박재석  129-104 
Dec 16, 2022  14:00-15:00  Dynamical invariants and measures on metric graphs and Applications in medical science 박재민  27-220 
Dec 31, 2019  16:00-17:00  The family of Julia sets with Ahlfors regular conformal dimension 1 박인성  27-116 
May 28, 2021  14:00-16:00  Topological entropy 0 and conformal dimension 1 in complex dynamics 박인성  27-220 
Apr 28, 2017  16:00-18:00  Specht modules for quiver Hecke algebras of type C file 박의용  27-220 
Aug 22, 2018  16:00-18:00  Quiver Hecke algebras and Categorification 박의용  25-103 
Jul 17, 2019  15:00-16:00  Generalized quantum Schur-Weyl duality using quiver Hecke algebras 박의용  129-301 
Jul 18, 2019  11:00-16:00  Generalized quantum Schur-Weyl duality using quiver Hecke algebras 박의용  129-301 
May 17, 2023  16:00-18:00  Affinizations, R-matrices and reflection functors 박의용  129-309 
Mar 29, 2024  15:00-16:00  Quantum Grothendieck rings of Hernandez-Leclerc Categories 박의용  129-104