[Turkmath:6062] ODTU-Bilkent Algebraic Geometry Seminar-Zoom-527

[Ali Sinan Sertöz]

*Welcome to the 2023 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/~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=20230414T1540&p1=19>
*=================================================================*
**
/Edouard Leon Cortes (1882-1969)
/

**Speaker:Craig van Coevering 
<https://math.boun.edu.tr/tr/craig-van-coevering>
****Affiliation: /Boğaziçi/****
Title:Extremal Kähler metrics and the moment map

**
**Abstract:**
An extremal Kähler metric is a canonical Kähler metric, introduced by E. 
Calabi, which is somewhat more general than a constant scalar curvature 
Kähler metric. The existence of such a metric is an ongoing research 
subject and expected to be equivalent to some form of geometric 
stability of the underlying polarized complex manifold (M,J,[ω])  –the 
Yau-Tian-Donaldson conjecture. Thus it is no surprise that there is a 
moment map, the scalar curvature (A. Fujiki, S. Donaldson), and the 
problem can be described as an infinite dimensional version of the 
familiar finite dimensional G.I.T.

I will describe how the moment map can be used to describe the local 
space of extremal metrics on a symplectic manifold. Essentially, the 
local picture can be reduced to finite dimensional G.I.T. In particular, 
we can construct a course moduli space of extremal Kähler metrics with a 
fixed polarization [ω]∈H2(M,R), which is an Hausdorff complex analytic space

*Date:14 April 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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