[Turkmath:5590] ODTU-Bilkent Algebraic Geometry Seminar-Zoom-511

[Ali Sinan Sertöz]

*Welcome to the 2022 Spring 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 *Online.*

/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>
*=================================================================*

**
Georgi Petrov
Spring Window
/(from the artist's homepage)/
**Speaker:Melih Üçer
****Affiliation: /Yıldırım Beyazıt/****
Title:Burau Monodromy Groups of Trigonal Curves

**
**Abstract:**For a trigonal curve on a Hirzebruch surface, there are 
several notions of monodromy ranging from a very coarse one in S_3 to a 
very fine one in a certain subgroup of Aut(F_3), and one group in this 
range is PSL(2,Z).  Except for the special case of isotrivial curves, 
the monodromy group (the subgroup generated by all monodromy actions) in 
PSL(2,Z) is a subgroup of genus-zero and conversely any genus-zero 
subgroup is the monodromy group of a trigonal curve (This is a result of 
Degtyarev).

A slightly finer notion in the same range is the monodromy in the Burau 
group Bu_3. The aforementioned result of Degtyarev imposes obvious 
restrictions on the monodromy group in this case but without a converse 
result. Here we show that there are additional non-obvious restrictions 
as well and, with these restrictions, we show the converse as well.

*Date:29 April 2022*, Friday
*Time: 15:40 /(GMT+3)/*
*Place: **Zoom
*
*
*

    **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>.**


Please bring your own tea and cookies and self-serve at the convenience 
of your own home! 😁

You are most cordially invited to attend.

Ali Sinan Sertöz
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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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