http://www.math.snu.ac.kr/board/files/attach/images/698/d7f811aae9dfd8ef6b3d16c547a28844.png
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
May 05, 2022  14:00-17:00  Lectures on Financial Mathematics Constantinos Kardaras  129-104 
May 18, 2022  14:00-17:00  Lectures on Financial Mathematics Constantinos Kardaras  129-104 
Aug 16, 2022  14:00-17:00  Spectral theory of Hankel and Toeplitz operators 황인성  129-406 
Aug 17, 2022  14:00-17:00  Spectral theory of Hankel and Toeplitz operators 황인성  129-406 
Aug 18, 2022  14:00-17:00  Spectral theory of Hankel and Toeplitz operators 황인성  129-406 
Jan 26, 2023  14:00-17:00  Optimization problems in applications of fluid equations & Basic results for optimization algorithms 최우철  129-301 
Jan 27, 2023  14:00-17:00  Localization in Floer theory and its applications 김준태  27-317 
Mar 10, 2023  14:00-17:00  Reinforcement Learning in Continuous Time and Applications Xunyu Zhou  129-104 
Aug 21, 2023  14:00-17:00  Gromov-Witten invariants and mirror symmetry 오정석  129-104 
Aug 22, 2023  14:00-17:00  Gromov-Witten invariants and mirror symmetry 오정석  129-104 
Aug 23, 2023  14:00-17:00  Gromov-Witten invariants and mirror symmetry 오정석  129-104 
Jul 28, 2023  14:00-17:00  Systems of Conservation Laws and Stability of BV and Large L^2 Data Solutions Sam Krupa  27-325 
Dec 26, 2023  14:00-17:00  Quantum Connections and Mirror Symmetry 김용환  129-309 
Dec 26, 2017  14:00-17:30  Lakshmibai-Seshadri path model for highest weight modules over Kac-Moody algebras Satoshi Naito  129-301 
Dec 28, 2017  14:00-17:30  Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras Daisuke Sagaki  129-301 
Dec 29, 2017  14:00-17:30  Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras Daisuke Sagaki  129-301 
Nov 07, 2019  14:30-15:30  State estimation for a high-dimensional nonlinear system by particle-based filtering methods 김상일  27-325 
May 14, 2021  14:30-15:30  On the emerging asymptotic patterns of the Winfree model 강명주  27-220 
Jun 11, 2021  14:30-15:30  The pentagonal theorem of sixty-three and generalizations of Cauchy's lemma 주장원  27-116 
Nov 26, 2021  14:30-15:30  On the emergent behaviors of relativistic Cucker-Smale flocks 안현진  27-220