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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
Mar 15, 2017  16:00-17:30  Positively expansive systems from self-similar graph actions 이인협  129-301 
Mar 29, 2017  16:00-17:30  Implementation Problems for Operators on Boson Fock Space 지운식  129-301 
Apr 05, 2017  16:00-17:30  Exotic examples related to unbounded subnormality via theory of moments Jan Stochel  129-301 
Apr 26, 2017  16:00-17:30  THE ROKHLIN PROPERTY FOR ACTIONS OF DISCRETE GROUPS ON C*-ALGEBRAS AND RELATED TOPICS Hiroyuki Osaka  129-301 
May 31, 2017  16:00-17:30  NEW CHARACTERIZATIONS FOR THE WEIGHTED FOCK SPACES 남계숙  129-301 
Jun 08, 2017  16:00-17:30  A classification program of simple, amenable C*-algebras: an overview without telescopes 이현호  129-301 
Jun 22, 2017  16:00-17:30  When quantum theory meets information theory 배준우  선택 
May 30, 2018  16:00-17:30  인공신경망의 기초 한경훈  129-301 
Jul 13, 2018  16:00-17:30  Diffeomorphism groups of critical regularity Thomas Koberda  27-325 
Sep 06, 2017  16:00-17:30  Completely almost periodic elements of Hopf von Neumann algebras Yemon Choi  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 
Sep 27, 2017  16:00-17:30  A survey on Bratteli diagrams and dimension groups: representation, classification, and measures 김선호  129-301 
Oct 18, 2017  16:00-17:30  Monic representations associated to higher-rank graphs 강수란  129-301 
Mar 20, 2019  16:00-17:30  Quantum systems associated to projective representations on abelian groups 이훈희  129-301 
Mar 27, 2019  16:00-17:30  Centralizing centralizers file Alexander Guterman  129-101 
Apr 02, 2019  16:00-17:30  Sharp resolvent estimates outside of the uniform boundedness range file 이상혁  27-116 
Sep 18, 2019  16:00-17:30  Indecomposable exposed positive multi-linear maps and applications to quantum information theory 계승혁  129-301 
Nov 06, 2019  16:00-17:30  The Beurling-Lax-Halmos Theorem for infinite multiplicity (I) file 이우영  129-301 
Apr 20, 2018  16:00-17:30  Decompositions of 3-manifolds and hyperbolic geometry (second talk) Jessica Purcell  129-104 
Nov 21, 2019  16:00-17:30  Bayesian inverse homogenization Viet Ha Hoang  129-310