[Turkmath:5238] ODTU-Bilkent Algebraic Geometry Seminar-Zoom-494

[Ali Sinan Sertöz]

*
*
*Welcome to the 2021 Fall talks of ODTU-Bilkent Algebraic Geometry 
Seminars**
*****
**
/since 2000/
**
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**
This week the ODTU-Bilkent Algebraic Geometry Seminar 
<http://www.bilkent.edu.tr/%7Esertoz/agseminar.htm>  is *Online.*

/This talk will begin at _*15:40*__(GMT+3)_/

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**//
/Paul Gauguin (1848-1903)
/

**Speaker:Berkan Uze
**
**Affiliation: Boğaziçi
Title:A Glimpse of Noncommutative Motives

**
**Abstract:**The theory of motives was conceived as a universal 
cohomology theory for algebraic varieties. Today it is a vast subject 
systematically developed in many directions spanning algebraic geometry, 
arithmetic geometry, homotopy theory and higher category theory. 
Following ideas of Kontsevich, Tabuada and Robalo independently 
developed a theory of “noncommutative” motives for DG-categories (such 
as enhanced derived categories of schemes) which encompasses the 
classical theory of motives and helps assemble so-called additive 
invariants such as Algebraic K-Theory, Hochschild Homology and 
Topological Cyclic Homology into a motivic formalism in the very precise 
sense of the word. We will review the fundamental concepts at work, 
which will inevitably involve a foray into the formalism of enhanced and 
higher categories. We will then discuss Kontsevich’s notion of a 
noncommutative space and introduce noncommutative motives as “universal 
additive invariants” of noncommutative spaces. We will conclude by 
offering a brief sketch of Robalo’s construction of the noncommutative 
stable homotopy category, which is directly in the spirit of Voevodsky’s 
original construction.

*Date:12 November 2021*, Friday
*Time: 15:40*
*Place: **Zoom
*
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*

    **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, Turkey
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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