<div dir="ltr"><div>Değerli liste üyeleri,<br>
<br></div>4 Mayıs, 6 Mayıs ve 7 Mayıs tarihlerinde İstanbul Matematiksel Bilimler Merkezinde "Abelian Varieties with Complex Multiplication" konusunda bir dizi konuşma verilecektir. <br><div>
Konuşmalar ile ilgili detaylı
bilgileri aşağıda ve ekteki etkinlik efişinde bulabilirsiniz. İlgilenen herkesi bekliyoruz.<br><br></div><div>İyi çalışmalar.<br><br>-- <br>Ekin Özman<br><br>**********************************************************************************************<br><br></div><div>Dear colleagues,<br><br></div><div>You are cordially invited to the lecture series on Abelian Varieties with Complex Multiplication which will take place at IMBM on May 4,6 and 7. The details of the lectures are as below and also in the attachment.<br><br></div><div>Best regards,<br>-- <br>Ekin Özman<br><div><div dir="ltr"><br></div></div><br></div><div><br>****************************************************************************************<br></div><div>
****************************************************************************************<br>Lectures on Abelian Varieties with Complex Multiplication at IMBM<br><br><br><br>In this series of lectures our main scope
is to introduce the subject and mention come recent results about CM
abelian varieties and their reduction. There will be a series of 3 talks
during the week of May 4. The time and details of each lecture is as
below. The lectures should be accesible to students.<br><br>May 4,Monday, 13:00, IMBM Seminar Room, Bogazici University South Campus<br><br>Speaker: Ekin Ozman, Boğaziçi University<br>Title: Abelian Varieties and Complex Multiplication<div>Abstract:
This talk will be about the basics of Abelian Varieties and complex
multiplication(CM). After defining these terms, we will continue with
the discussion of good and bad reduction of CM abelian varieties. The
talk should be accessible to students and will introduce the notions
needed in the following talks of E. Garcia and R. Newton.<br><br></div><div><br><br>May 6, Wednesday, 13:00, IMBM Seminar Room, Bogazici University South Campus<br><br></div>Speaker: Elisa Lorenzo Garcia, Leiden University<br>Title: A Gross-Zagier formula and some generalizations.<div>Abstract:
The aim of this talk is to introduce the original results of Gross and
Zagier about the factorization of products of differences of singular
moduli. We will also describe some generalizations to the problem for CM
curves of genus 2 due to the work of Goren, Lauter and Viray. These
results motivate the partial generalizations for genus 3 that R. Newton
will explain in the following talk.</div><div><div><img src="https://ssl.gstatic.com/ui/v1/icons/mail/images/cleardot.gif"></div></div><br>May 7, Thursday, 13:00, IMBM Seminar Room, Bogazici University South Campus<br><br>Speaker: Rachel Newton, Max Planck Institute for Mathematics, Bonn <br><span style="font-size:13px">Title: Bad reduction of genus 3 curves with complex multiplication.</span><div style="font-size:13px">Abstract:
If we take a polynomial defining a curve and reduce its coefficients
modulo a prime, what happens to the curve? There are two kinds of
behaviour: either the curve remains irreducible, or it breaks down into
multiple components. We call the latter case 'bad reduction'.
Cryptographers need a supply of curves with good reduction in order to
build secure encryption algorithms. Complex multiplication (or CM) is an
additional structure which allowed Goren and Lauter to give a bound on
the primes of bad reduction for curves of genus 2 with CM. I will
describe a partial generalisation of this work to curves of genus 3 with
CM. This is joint work with I. Bouw, J. Cooley, K. Lauter, E. Lorenzo
Garcia, M. Manes and E. Ozman. <br></div><br><br>-- <br>Ekin Özman<br><div><div dir="ltr"><div>Boğaziçi University</div><div>Department of Mathematics<br></div><div>34342 Bebek, Istanbul</div></div></div><br clear="all"><br></div></div>