[Turkmath:5290] Koç Üniversitesi - Mathematics Seminar - December 7th

[Asgar Jamneshan]

Dear all,


We would like to cordialy invite you to this week's mathematics seminar at Koç University.  Everyone is welcome to attend.  Please write an email to me at ajamneshan at ku.edu.tr<mailto:ajamneshan at ku.edu.tr> to receive the zoom link.


Best regards,


Asgar Jamneshan


KOÇ UNIVERSITY MATH SEMINAR

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Speaker          : Özlem Ejder, Boğaziçi University

Title                 : Isolated Points on Modular Curves

Date                : Tuesday, December 7, 2021

Time             : 16:00-17:10

Place               : SCI 103

Please notice that this seminar will be at a different time (16.00-17:10)



Abstract:

One of the oldest areas of mathematics is the study of integer or rational solutions to polynomial equations with integer coefficients and it remains active till today. The most natural question we can ask about such an equation is whether its set of rational solutions is finite or infinite. This can be determined by the genus of the curve defined by such equations. In particular, if the genus is greater than one, there are finitely many rational points on a curve.



What happens when one allows for solutions involving square-roots of integers or cubic roots? Perhaps in general all complex numbers that are roots of a degree d polynomial? We call such solutions of degree 2,3 or d in general. In this talk, we will discuss when a curve has infinitely many degree d points focusing particularly on points on modular curves.



Info: If you would like to attend the seminar online, please send an email to Asgar Jamneshan at ajamneshan at ku.edu.tr<mailto:ajamneshan at ku.edu.tr> for the Zoom link.



The Mathematics Seminar schedule can be found at https://mysite.ku.edu.tr/math-sci/ .
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