Upcoming seminars
March 05 (Fri), 2021, 10:3011:30, 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 MordellWeil group and related subjects. 
Past seminars
February 04 (Thu), 2021, 10:0011:00, 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 socalled "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 SoonYi Kang in KIAS News Letter, Fall 2005) and
the following archive files. Archive: 2020  2019  2018  2017  2016  2015  2014  2013  2012  2011  2010  2009  2008  2007  2006  2005  
Number Theory Group at KIAS
Choi, YounSeo 