[Turkmath:6669] ODTU-Bilkent Algebraic Geometry Seminar-Zoom-553

[Ali Sinan Sertöz]

*Welcome to the 2024 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=20241025T1540&p1=19&ah=1>
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/Claude Monet (1840-1926)/
**
**
**Speaker: Alexander Degtyarev <http://www.fen.bilkent.edu.tr/%7Edegt/>
****Affiliation: /Bilkent
/**
**/
/**
**Title: *Real plane sextic curves with smooth real part*

**
**Abstract: **We have obtained the complete deformation classification 
of singular real plane sextic curves with smooth real part, i.e., those 
without real singular points. This was made possible due to the fact 
that, under the assumption, contrary to the general case, the 
equivariant equisingular deformation type is determined by the so-called 
real homological type in its most naïve sense, i.e., the homological 
information about the polarization, singularities, and real structure; 
one does not need to compute the fundamental polyhedron of the group 
generated by reflections and identify the classes of ovals therein. 
Should time permit, I will outline our proof of this theorem.

As usual, this classification leads us to a number of observations, some 
of which we have already managed to generalize. Thus, we have an 
Arnol’d-Gudkov-Rokhlin type congruence for close to maximal surfaces 
(and, hence, even degree curves) with certain singularities. Another 
observation (which has not been quite understood yet and may turn out 
K3-specific) is that the contraction of any empty oval of a type I real 
scheme results in a bijection of the sets of deformation classes.
(joined work with Ilia Itenberg)

*Date:25 October 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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