KIAS Number Theory Seminar

Upcoming seminars

March 05 (Fri), 2021, 10:30--11:30, online

Title: Some analytic quantities having arithmetic information on elliptic curves

Speaker: Masato Kurihara (Keio University)

Abstract: I will discuss some analytic quantities constructed from modular symbols for a rational elliptic curve, which have some interesting arithmetic information on the Mordell-Weil group and related subjects.

Past seminars

February 04 (Thu), 2021, 10:00--11:00, online

Title: Slopes of modular forms and the ghost conjecture

Speaker: Robert Pollack (Boston University)

Abstract: Modular forms are mathematical objects born in complex analysis but in fact have become central objects in number theory. In particular, special modular forms, called eigenforms, have Fourier coefficients which are algebraic integers and these integers contain loads of number theoretic data. In this talk, we will focus on one slice of this data, namely, the highest power of p dividing the pth Fourier coefficient (called the slope of the form). Through many numerical examples, we will discuss the properties of these slopes and ultimately state the so-called "ghost conjecture" which predicts them in a combinatorial way.

Please send one of the organizers an email if you are interested in giving a talk. If you want to receive regular email announcement, please send an email with your name/affiliation, in title of "subscribe", to the organizer.

The first number theory seminar started March 10th, 2005 and it became a regular seminar since then. For more information on the early history of the number theory seminar, see the article (by Soon-Yi Kang in KIAS News Letter, Fall 2005) and the following archive files.

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Number Theory Group at KIAS

Choi, Youn-Seo
Choi, Junhwa (
Haan, Jae-ho
Kim, Chan-Ho
Lee, Chulhee
Lee, Jungin
Nam, Hayan
Yu, Myungjun