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seminars
Date 2021-04-26
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.

제목
2024-03-29  15:00-16:00  Quantum Grothendieck rings of Hernandez-Leclerc Categories 박의용  129-104 
2024-03-29  10:00-12:00  Littlewood-Paley-Stein inequality to the Burkholder-Gundy inequality Zhendong Xu  129-309 
2024-03-28  16:00-16:30  [Rookies Pitch] About deformation rigidity of some quasi-homogeneous varieties with Picard number one 김신영  129-101 
2024-03-28  16:40-17:10  [Rookies Pitch] Finite path integral and a second monoidal cohomology class of cobordism category 김민규  129-101 
2024-03-22  16:00-18:00  The power operation in Galois cohomology of reductive groups over number fields. Mikhail Borovoi  27-325 
2024-03-20  15:00-16:30  Critical norm blow-up for the energy supercritical nonlinear heat equation Hideyuki Miura  27-116 
2024-03-20  15:45-18:00  The monodromy conjecture for simplicial nondegenerate singularities Matt Larson  129-406 
2024-03-15  09:00-10:00  Towards Ulam Type Multi Stability Analysis Safora Rezaei  27-325 
2024-03-12  16:00-17:20  Largeness of arboreal representations and applications to arithmetic dynamics 쾨니히 요아힘  129-301 
2024-03-11  17:00-18:30  A soup of regularity estimates with general growth ingredients Bianca Stroffolini  27-325 
2024-03-11  16:00-17:00  Discussion on the regularity and the singularity in the fluid equations with/without the viscosity effect 조민준  선택 
2024-03-05  15:30-17:00  Nonvanishing of L-function of some Hecke characters on cyclotomic fields II 정근영  선택 
2024-02-28  16:00-17:30  Nonvanishing of L-function of some Hecke characters on cyclotomic fields 정근영  선택 
2024-02-27  16:00-18:00  On the Negativity and Blowup of Ricci Curvatures of Complete Conformal Metrics Qing Han  27-325 
2024-02-26  15:00-16:00  Heterogeneous diffusion: uniqueness, non-uniqueness, and selection Ilya Pavlyukevich  129-301 
2024-02-26  14:00-15:00  Spectrally-large scale geometry and symplectic squeezing in cotangent bundle of torus Qi Feng  선택 
2024-02-23  16:00-17:00  Doi-Naganuma lift and the derivative of certain generalized Rankin-Selberg L-series Mingkuan Zhang  27-325 
2024-02-23  14:00-16:00  디지털마케팅의 이해 : 양자과학의 응용 심현  선택 
2024-02-22  10:00-12:00  Complex Multiplication and Factorization of Singular Moduli Yingkun Li  129-301 
2024-02-21  10:00-12:00  Complex Multiplication and Factorization of Singular Moduli Yingkun Li  129-301