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
2023-10-31  16:00-18:00  Restriction estimates for quadratic manifolds of arbitrary codimensions 오세욱  27-116 
2022-06-03  17:00-18:00  Maximal and sharp regularity bounds on averages over curves 오세욱  선택 
2022-09-06  16:40-17:10  Maximal averages over curves 오세욱  129-101 
2022-11-01  16:00-18:00  A stationary set method for estimating oscillators integrals 오세욱  27-116 
2019-04-26  16:00-17:00  Categorical similarities among the finite dimensional module categories over quantum affine algebras 오세진  27-116 
2021-04-02  10:30-12:00  Quantum affine analog of Kazhdan-Lusztig positivity for non-simply laced types via simply laced types. 오세진  선택 
2023-04-07  10:30-11:30  블록체인과 비트코인 오승상  129-406 
2015-03-23  16:00-17:00  Analysis of pseudoholomorphic curves I 오용근  129-406 
2015-03-24  16:00-17:00  Analysis of pseudoholomorphic curves II 오용근  129-301 
2015-03-27  13:00-15:00  Analysis of pseudoholomorphic curves III, IV 오용근  129-301 
2018-04-11  15:00-17:00  Analysis of pseudoholomorphic curves and Hofer's displacement energy 오용근  129-406 
2018-04-12  10:00-12:00  Analysis of pseudoholomorphic curves and Hofer's displacement energy 오용근  129-406 
2023-04-18  16:40-17:10  Combinatorics of coinvariants 오재성  129-101 
2022-07-04  10:00-11:30  Complex Kuranishi spaces 1 오정석  27-325 
2022-07-06  10:11:30  Complex Kuranishi spaces 2 오정석  129-310 
2023-08-21  14:00-17:00  Gromov-Witten invariants and mirror symmetry 오정석  129-104 
2023-08-22  14:00-17:00  Gromov-Witten invariants and mirror symmetry 오정석  129-104 
2023-08-23  14:00-17:00  Gromov-Witten invariants and mirror symmetry 오정석  129-104 
2018-07-27  15:00-17:00  Regularity for multi-phase variational problems 오제한  27-325 
2019-10-12  15:00-17:00  Regularity for generalized double phase functionals 오제한  27-325