[Turkmath:5774] ODTU-Bilkent Algebraic Geometry Seminar-ODTÜ+Zoom-512

[Ali Sinan Sertöz]

*Welcome to the 2022 Fall talks of ODTU-Bilkent Algebraic Geometry 
Seminars**
*
/since 2000/
**=================================================================**

This week the ODTU-Bilkent Algebraic Geometry Seminar 
<http://www.bilkent.edu.tr/~sertoz/agseminar.htm>  is hybrid

*The seminar will be face-to-face at ODTÜ with Zoom participation 
available**
***
/This talk will begin at _*15:40*__ (GMT+3)_/
Please check your time difference between Ankara and your city here 
<https://www.timeanddate.com/worldclock/fixedtime.html?msg=ODT%C3%9C-Bilkent+Algebraic+Geometry+Seminar&iso=20220429T1540&p1=19>
*=================================================================*

**
/William Hawkins (1895-1990)/
**Speaker:Andrew Sutherland
****Affiliation: /MIT/****
Title:Sato-Tate groups of abelian varieties

**
**Abstract:**Let A be an abelian variety of dimension g defined over a 
number field K.  As defined by Serre, the Sato-Tate group ST(A) is a 
compact subgroup of the unitary symplectic group USp(2g) equipped with a 
map that sends each Frobenius element of the absolute Galois group of K 
at primes p of good reduction for A to a conjugacy class of ST(A) whose 
characteristic polynomial is determined by the zeta function of the 
reduction of A at p.  Under a set of axioms proposed by Serre that are 
known to hold for g <= 3, up to conjugacy in Usp(2g) there is a finite 
list of possible Sato-Tate groups that can arise for abelian varieties 
of dimension g over number fields.  Under the Sato-Tate conjecture 
(which is known for g=1 when K has degree 1 or 2), the asymptotic 
distribution of normalized Frobenius elements is controlled by the Haar 
measure of the Sato-Tate group.

In this talk I will present a complete classification of the Sato-Tate 
groups that can and do arise for g <= 3.

This is joint work with Francesc Fite and Kiran Kedlaya.

*Date:14 October 2022*, *Friday*
*Time: 15:40 /(GMT+3)/*
*Place: **ODTÜ, Mathematics Department, Room M-203
*
*
*

    **One day before the seminar, an announcement with the Zoom meeting
    link will be sent to those who registered with Sertöz.
    **

    **If you have registered before for one of the previous talks, there
    is no need to register again; you will automatically receive a link
    for this talk too.
    **

    **If you have not registered before, please contact him at
    sertoz at bilkent.edu.tr
    <mailto:sertoz at bilkent.edu.tr?subject=Zoom%20Seminar%20Address%20Request>.**


You are most cordially invited to attend.

Ali Sinan Sertöz
PS: /As this is the first mail of a new semester please let me know if 
you no longer wish to receive these announcements personally. On the 
other hand if a friend forwarded this message to you and you wish to be 
added to the mailing list, again please let me know./
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Ali Sinan Sertöz
Bilkent University, Department of Mathematics, 06800 Ankara, Türkiye
Office: (90)-(312) - 290 1490
Department: (90)-(312) - 266 4377
Fax: (90)-(312) - 290 1797
e-mail:sertoz at bilkent.edu.tr  
Web:sertoz.bilkent.edu.tr  <http://sertoz.bilkent.edu.tr>  
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