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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
2023-05-25  13:00-15:00  Commuting pairs of bounded linear operators acting on a Hilbert space—Structure properties Jasang Yoon  129-309 
2023-05-26  15:00-17:00  Commuting pairs of bounded linear operators acting on a Hilbert space—Operator Transforms Jasang Yoon  129-309 
2023-05-29  15:30-17:30  Commuting pairs of bounded linear operators acting on a Hilbert space— Spectral and joint invariant subspace properties Jasang Yoon  129-309 
2023-06-30  15:00-17:00  On Scaled-Hypercomplex Numbers Il Woo Cho  129-309 
2023-06-15  11:00-12:30  On uniformly rotating binary stars 석진명  129-309 
2023-06-16  09:30-11:00  Ergodicity of Iwasawa Continued Fractions and Markable Hyperbolic Geodesics 박성재  129-309 
2023-06-23  09:30-11:00  Ergodicity of Iwasawa Continued Fractions and Markable Hyperbolic Geodesics II 박성재  129-309 
2023-06-28  11:00-13:00  Group action on projective frames 초록: We introduce projective linear group 권상훈  129-309 
2023-11-07  15:00-16:30  Volume bounds for hyperbolic 3-polyhedra and knots Andrei Vesnin  129-309 
2023-12-14  16:00-17:00  LoRA (Low-Rank Adaptation) 이종호  129-309 
2023-12-19  15:00-17:30  Reidemeister Torsion in Circle-Valued Morse Theory 김용환  129-309 
2023-12-20  11:00-12:30  Integrating Navier–Stokes Equations, Hemodynamics, and Neuroimaging Maryam Samavaki  129-309 
2023-12-26  14:00-17:00  Quantum Connections and Mirror Symmetry 김용환  129-309 
2023-12-27  11:00-12:30  Pressure–Poisson Equation in Numerical Simulation of Cerebral Arterial Circulation and Its Effect on the Electrical Conductivity of the Brain Maryam Samavaki  129-309 
2024-01-03  11:00-13:00  Fluid Equations and Dynamic Blood Flow Maryam Samavaki  129-309 
2024-03-29  10:00-12:00  Littlewood-Paley-Stein inequality to the Burkholder-Gundy inequality Zhendong Xu  129-309 
2014-03-17  10:30-12:00  Probabilistic Topic Models: Models and Applications 김성현  129-310 
2014-03-24  10:30-12:00  Tutorial for Topological Data Analysis Talks Cho, Eungchun  129-310 
2014-05-01  14:00-15:00  Rational torsion points of $J_0(pq)$ 유화종  129-310 
2014-05-21  16:00-17:00  Classification of Calabi-Yau threefolds of type K Kenji Hashimoto  129-310