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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
2021-07-08  16:30-18:00  An explicit computation of wrapped Floer homology ring via Seidel maps 권명기  27-325 
2019-03-19  16:30-17:30  The Farey Sequence Next-Term Algorithm, and the Boca-Cobeli-Zaharescu Map Analogue for Hecke Triangle Groups Gq (2) Diaaeldin Taha  27-325 
2019-03-29  17:00-18:00  On the zeros of Epstein zeta functions near the critical line Yoonbok Lee  27-325 
2019-04-16  16:00-17:00  On the inverse Galois problem with ramification conditions Joachim König  27-325 
2019-04-03  11:00-12:00  Minimizers in generalized Orlicz spaces Arttu Karppinen  27-325 
2019-04-05  16:00-18:00  Dynamics of continued fractions and conjecture of Mazur-Rubin Jungwon Lee  27-325 
2019-04-12  16:00-18:00  Classification of strongly positive representations of GU(n,n) and its application Yeonsu Kim  27-325 
2019-05-24  16:00-17:00  Classification of quotient bundles over the Fargues-Fontaine curve Serin Hong  27-325 
2019-06-05  11:00-12:00  A THERMOVISCOELASTIC ROD AND NONLINEAR TIMOSHENKO BEAM SYSTEM WITH DYNAMIC CONTACT AND THERMAL EXCHANGE CONDITIONS 안정호  27-325 
2019-06-14  16:00-18:00  Rational points and motives of moduli spaces of vector bundles on curves 이경석  27-325 
2022-05-20  16:00-18:00  Distribution of Hecke eigenvalues of GL_2 automorphic representations Dohoon Choi  27-325 
2019-06-29  10:00-12:00  BMO estimates for the p(x)-Laplacian 오제한  27-325 
2022-06-20  16:00-18:00  Discrete Double Hilbert transforms Along Polynomial Surfaces file 김준일  27-325 
2022-10-19  15:30-16:20  일본에서의 ODE 발전에 대해서 신정선  27-325 
2019-09-20  16:00-18:00  Ergodic functions over the p-adic integers file Sangtae Jeong  27-325 
2019-10-04  16:00-18:00  Application of Langlands program to the Linnik problem for automorphic representations 최도훈  27-325 
2022-12-15  17:00-18:00  금융이 수학이 될 때, 수학이 금융이 될 때 강병국  27-325 
2022-12-20  11:00-12:00  Analysis of PDE Models of Traffic Flow Tong Li  27-325 
2019-10-31  14:00-15:30  An ordering problem on triangulated surfaces from quantum Teichmüller theory 김현규  27-325 
2022-12-21  14:00-16:00  Fully nonlinear elliptic euqations Lihe Wang  27-325