[Turkmath:5291] ODTU-Bilkent Algebraic Geometry Seminar-Zoom-498

[Ali Sinan Sertöz]

*Welcome to the 2021 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)_/

*=================================================================*


*image.png *
/Wassily Kandinsky (1866-1944)
/

**Speaker: Susumu Tanabé
**
**Affiliation: Galatasaray
Title: Asymptotic critical values of a polynomial map

**
**Abstract: **The bifurcation locus of a polynomial map f is the 
smallest subset B(f) such that f realises a local trivialisation in the 
neighbourhood of each point of the complement to B(f).

It is known that the bifurcation locus B(f) is the union of the set of 
critical values f(Sing f) and the set of bifurcation values at infinity 
which may be non-empty and disjoint from the critical value set f(Sing 
f). It is a difficult task to find the bifurcation locus in the cases 
for a polynomial depending on more than three variables. Nevertheless, 
one can obtain approximations by supersets of B(f) from exploiting 
asymptotical regularity conditions. Jelonek and Kurdyka established an 
algorithm for finding a superset of B(f): the set of asymptotic critical 
values.

In this talk, we survey the history of the research of the bifurcation 
locus and discuss recent results on the asymptotic critical values.

*Date: 10 December 2021*, 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>.**


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  
Web:sertoz.bilkent.edu.tr  <http://sertoz.bilkent.edu.tr/>  
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