[Turkmath:6427] ODTU-Bilkent Algebraic Geometry Seminar-Zoom-546

[Ali Sinan Sertöz]

*Welcome to the 2024 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=20240405T1540&p1=19&ah=1>
*=================================================================*
*
*/Edgar Degas (1834-1917)
Blue dancers (1897)/
**Speaker: Enis Kaya <https://sites.google.com/view/eniskaya/home>
****Affiliation: /KU Leuven/**
**/
/**
**Title:p-adic Integration Theories on Curves****
**
**
**
**Abstract: **For curves over the field of p-adic numbers, there are two 
notions of p-adic integration: Berkovich-Coleman integrals which can be 
performed locally, and Vologodsky integrals with desirable 
number-theoretic properties. These integrals have the advantage of being 
insensitive to the reduction type at p, but are known to coincide with 
Coleman integrals in the case of good reduction. Moreover, there are 
practical algorithms available to compute Coleman integrals.

Berkovich-Coleman and Vologodsky integrals, however, differ in general. 
In this talk, we give a formula for passing between them. To do so, we 
use combinatorial ideas informed by tropical geometry. We also introduce 
algorithms for computing Berkovich-Coleman and Vologodsky integrals on 
hyperelliptic curves of bad reduction. By covering such a curve by 
certain open spaces, we reduce the computation of Berkovich-Coleman 
integrals to the known algorithms on hyperelliptic curves of good 
reduction. We then convert the Berkovich-Coleman integrals into 
Vologodsky integrals using our formula. We illustrate our algorithm with 
a numerical example.

This talk is partly based on joint work with Eric Katz from the Ohio 
State University.

*Date:5 April 2024*, *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>.**


You are most cordially invited to attend.

Ali Sinan Sertöz
/(PS: To unsubscribe from this list please send me a note.)/
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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  <mailto:sertoz at bilkent.edu.tr>  
Web:sertoz.bilkent.edu.tr  <http://sertoz.bilkent.edu.tr>  
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