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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, 2015  14:00-16:20  Determinant Formula for K-theory of Grassmannians I, II Tomoo Matsumura  129-301 
Jan 20, 2015  11:00-12:00  Determinant formula for K-theory of Grassmannians III Tomoo Matsumura  129-301 
Dec 04, 2019  09:00-13:00  HYKE Intensive Lectures on Symmetric Hyperbolic Systems of Balance Laws and State file Tommaso Ruggeri / Masaru Sugiyama  27-116 
Dec 06, 2019  09:00-17:00  HYKE Intensive Lectures on Symmetric Hyperbolic Systems of Balance Laws and State file Tommaso Ruggeri / Masaru Sugiyama  27-220 
Dec 11, 2019  09:00-11:00  HYKE Intensive Lectures on Symmetric Hyperbolic Systems of Balance Laws and State file Tommaso Ruggeri / Masaru Sugiyama  27-220 
Feb 12, 2016  14:00-15:00  HYKE Lecture Series on Continuum Mechanics and Thermodynamics Tommaso Ruggeri  27-220 
Feb 15, 2016  15:00-17:00  HYKE Lecture Series on Continuum Mechanics and Thermodynamics Tommaso Ruggeri  27-220 
Jun 22, 2021  10:00-11:00  세미나 제목 A non-iterative sampling method for inverse elastic wave scattering by rough surfaces and some results about the direct and inverse electromagnetic wave scattering by an elastic body Tielei Zhu  선택 
Jan 29, 2018  15:00-16:00  Symplectic varieties and geometric representation theory Thomas Nevins  27-220 
Jan 31, 2018  15:00-16:00  Symplectic varieties and geometric representation theory Thomas Nevins  129-301 
Jan 29, 2018  16:15-17:15  Symplectic varieties and geometric representation theory Thomas Nevins  27-220 
Jan 31, 2018  16:15-17:15  Symplectic varieties and geometric representation theory Thomas Nevins  129-301 
Jan 16, 2015  16:00-17:00  The relationship between right-angled Artin groups and mapping class groups Thomas Koberda  129-301 
Jan 19, 2015  16:00-17:00  The curve complex for a right-angled Artin group Thomas Koberda  129-301 
Jan 21, 2015  16:00-17:00  Convex cocompactness for subgroups of right-angled Artin groups Thomas Koberda  129-301 
Jan 07, 2016  16:00-18:00  Exotic quotients of surface groups Thomas Koberda  129-301 
Jul 14, 2016  16:00-18:00  Group actions on low dimensions I Thomas Koberda  129-301 
Jul 15, 2016  16:00-18:00  Group actions on low dimensions II Thomas Koberda  129-301 
Jul 27, 2016  16:00-18:00  Group actions on low dimensions II Thomas Koberda  129-406 
Jul 14, 2017  16:00-17:00  Square-roots of Thompson’s group Thomas Koberda  129-301