[Turkmath:6299] ODTU-Bilkent Algebraic Geometry Seminar-Zoom-539

[Ali Sinan Sertöz]

*Welcome to the 2023 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 *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=20231208T1540&p1=19&ah=1>
*=================================================================*
*
*/Johannes Vermeer (1632-1675)
The glass of wine (1659)/
**Speaker: K. İlhan İkeda <https://math.boun.edu.tr/tr/k-ilhan-ikeda>
****Affiliation: /Boğaziçi/****
Title:Kapranov's higher-dimensional Langlands reciprocity principle for 
GL(n)
****
**
**Abstract: Abelian class field theory, which describes (including the 
arithmetic of) all abelian extensions of local and global fields using 
algebraic and analytic objects related to the ground field via Artin 
reciprocity laws has undergone two generalizations. The first one, which 
is still largely conjectural, is the non-abelian class field theory of 
Langlands, is an extreme generalization of the abelian class field 
theory, describes the whole absolute Galois groups of local and global 
fields using automorphic objects related to the ground field via the 
celebrated Langlands reciprocity principles, (and more generally via 
functoriality principles). The second generalization is the 
higher-dimensional class field theory of Kato and Parshin, which 
describes (including the arithmetic of) all abelian extensions of 
higher-dimensional local fields and higher-dimensional global fields 
(function fields of schemes of finite type over ℤ) using this time 
K-groups of objects related to the ground field via Kato-Parshin 
reciprocity laws.
So it is a very natural question to ask the possibility to construct 
higher-dimensional Langlands reciprocity principle. In this direction, 
as an answer to this question, Kapranov proposed a conjectural framework 
for higher-dimensional Langlands reciprocity principle for GL(n). In 
this talk, we plan to sketch this conjectural framework of Kapranov 
(where we plan to focus on the local case only).

**

*Date:8 December 2023*, *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.)/
------------------------------------------------------------------------

----------------------------------------------------------------------------
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>  
----------------------------------------------------------------------------
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://yunus.listweb.bilkent.edu.tr/pipermail/turkmath/attachments/20231204/5695fd15/attachment-0001.html>
-------------- next part --------------
A non-text attachment was scrubbed...
Name: 9oe0S8WjOYqdTOVH.jpeg
Type: image/jpeg
Size: 243220 bytes
Desc: not available
URL: <http://yunus.listweb.bilkent.edu.tr/pipermail/turkmath/attachments/20231204/5695fd15/attachment-0001.jpeg>