https://www.math.snu.ac.kr/board/files/attach/images/698/d7f811aae9dfd8ef6b3d16c547a28844.png
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
2017-04-05  16:00-17:30  Exotic examples related to unbounded subnormality via theory of moments Jan Stochel  129-301 
2017-04-11  16:00-19:00  Crystal interpretation of a formula on the branching rule of C_n-type Toya Hiroshima  129-301 
2017-04-24  15:30-17:30  THE ROKHLIN PROPERTY FOR ACTIONS OF DISCRETE GROUPS ON C*-ALGEBRAS AND RELATED TOPICS Hiroyuki Osaka  129-301 
2017-04-25  15:30-17:30  THE ROKHLIN PROPERTY FOR ACTIONS OF DISCRETE GROUPS ON C*-ALGEBRAS AND RELATED TOPICS Hiroyuki Osaka  129-301 
2017-08-28  11:00-12:00  On the Kuramoto oscillators bidirectionally coupled in a ring Zhuchun Li  129-301 
2017-09-13  16:00-17:30  Toeplitz and Hankel operators induced by measures file 박재휘  129-301 
2017-04-26  16:00-17:30  THE ROKHLIN PROPERTY FOR ACTIONS OF DISCRETE GROUPS ON C*-ALGEBRAS AND RELATED TOPICS Hiroyuki Osaka  129-301 
2017-05-10  16:00-18:00  Rigidity of group actions Nhan-Phu Chung  129-301 
2017-10-11  16:00-17:30  작용소 대수, 군과 에르고딕 정리들 허재성  129-301 
2017-10-12  14:00-15:30  Log canonical threshold from the Milnor fiber of singularity 윤영호  129-301 
2017-05-24  16:00-18:00  Antipode map on quantum groups and quantum groupoids 강병재  129-301 
2017-05-31  16:00-17:30  NEW CHARACTERIZATIONS FOR THE WEIGHTED FOCK SPACES 남계숙  129-301 
2017-10-20  16:30-17:30  Teaching Human Intelligence to AI 황승원  129-301 
2017-10-20  13:00-14:30  the relation between fidelity & relative entropy 김세정  129-301 
2017-11-01  16:00-17:00  Operator means, monotonicity, and free function theory file Miklós Pálfia  129-301 
2017-11-01  17:00-18:00  Applications of functional calculus to perturbation theory file Christian Le Merdy  129-301 
2017-11-03  10:00-12:00  Introduce some Gaussian states. 이수용  129-301 
2017-06-08  16:00-17:30  A classification program of simple, amenable C*-algebras: an overview without telescopes 이현호  129-301 
2017-06-27  16:30-17:30  Towers of regular self-covers and linear endomorphisms of tori Van Limbeek  129-301 
2018-01-19  16:00-17:00  Low-lying zeros of Cubic Dirichlet L-functions and the Ratios Conjecture 조재현  129-301