[Turkmath:6234] ODTU-Bilkent Algebraic Geometry Seminar-Zoom-534

[Ali Sinan Sertöz]

*Welcome to the 2023 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/~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=20231103T1540&p1=19&ah=1>
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*
*/Johannes Vermeer (1632-1675)
Diana and her companions (1653)/
**Speaker: Çisem Güneş Aktaş <https://avesis.agu.edu.tr/cisem.aktasgunes>
****Affiliation: /Abdullah Gül/****
Title:Geometry of equisingular strata of quartic surfaces with simple 
singularities**
**
**
**Abstract:**
The geometry of the equisingular strata of curves, surfaces, etc. is one 
of the central problems of K3-surfaces.  Thanks to the global Torelli 
theorem and surjectivity of the period map, the equisingular deformation 
classification of singular projective models of K3-surfaces with any 
given polarization becomes a mere computation. The most popular models 
studied intensively in the literature are plane sextic curves and 
spatial quartic surfaces. Using the arithmetical reduction, Akyol and 
Degtyarev [1] completed the problem of equisingular deformation 
classification of simple plane sextics. Simple quartic surfaces which 
play the same role in the realm of spatial surfaces as sextics do for 
curves, are a relatively new subject, promising interesting discoveries.

In this talk, we discuss the problem of classifying quartic surfaces 
with simple singularities up to equisingular deformations by reducing 
the problem to an arithmetical problem about lattices. This research 
[3]  originates from our previous  study [2] where the classification 
was given only for nonspecial quartics,  in the spirit of Akyol ve 
Degtyarev [1]. Our principal result is extending the classification to 
the whole space of simple quartics and, thus, completing the 
equisingular deformation classification of simple quartic surfaces.

            [1]  Akyol, A. ve Degtyarev, A., 2015. Geography of 
irreducible plane sex- tics. Proc. Lond. Math. Soc. (3), 111(6), 
13071337. ISSN 0024-6115. doi:10.1112/plms/pdv053.
            [2]  Güneş Aktaş, Ç, 2017. Classification of simple quartics 
up to equisin- gular deformation. Hiroshima Math. J., 47(1), 87112. ISSN 
0018-2079. doi:10.32917/hmj/1492048849.

            [3]  Güneş Aktaş, Ç, to appear in Deformation classification 
of quartic surfaces with simple singularities. Rev. Mat. Iberoam. 
doi:10.4171/RMI/1431

*Date:3 November 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.)/
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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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