[Turkmath:4840] ODTU-Bilkent Algebraic Geometry Seminar-Zoom-486

[Ali Sinan Sertöz]

*
*
*Welcome to the 2021 Spring 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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**//
/Fikret Muallâ (1903-1967)
Üstünel Collection
/

**Speaker: Berrin Şentürk*
*Affiliation: TEDU
**
**
Title:Free Group Action on Product of 3 Spheres
**
**Abstract:**A long-standing Rank Conjecture states that if an 
elementary abelian p-group acts freely on a product of spheres, then the 
rank of the group is at most the number of spheres in the product. We 
will discuss the algebraic version of the Rank Conjecture given by 
Carlsson for a differential graded module M over a polynomial ring. We 
will state a stronger conjecture concerning varieties of square-zero 
upper triangular matrices corresponding to the differentials of certain 
modules. By the work on free flags in M introduced by Avramov, 
Buchweitz, and Iyengar, we will obtain some restriction on the rank of 
submodules of these matrices. By this argument we will show that  
(Z/2Z)^4 cannot act freely on product of 3 spheres of any dimensions.

*Date:9 April 2021*, Friday
*Time: 15:40* (GMT+3)
*Place: **Zoom*
*
*

    **One day before the seminar, an announcement with the Zoom 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
    atsertoz 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 Sertoz
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  
Web: sertoz.bilkent.edu.tr
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