[Turkmath:5109] Minimal Immersions into Einstein-Hermitian Manifolds - Geometry Seminar: 27/8, 15:00

[Mustafa Kalafat]

Dear Geometry Fans,


Below is the advertisement for today's talk in
our Geometry seminar.

stay healthy, best wishes !

m. kalafat



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Title: Minimal Immersions into Einstein-Hermitian Manifolds

Speaker: Mustafa Kalafat


Abstract: In this seminar series, we will give an introduction to some
topics in minimal submanifold theory.
In particular minimal embeddings of spheres into higher dimensional
spheres especially as holomorphic curves.
Topics to be covered are as follows.

RS 1: Jacobi Operator. Higher dimensional fundamental forms.

RS 2: Higher dimensional curvatures.

RS 3: Minimal immersions into higher spheres.

RS 4: A Hermitian structure on the normal bundle.

RS 5: An application of the Riemann-Roch formula to the minimal surfaces.

RS 6: Index of minimal immersions of a sphere into higher dimensional spheres.

RS 7: Holomorphic curves in the 6-dimensional sphere.

We will be using the following resources.

References:

1. N. Ejiri - The Index of Minimal Immersions of S^2 into S^{2n}.
Mathematische Zeitschrift. 184,127-132 (1983).

2. Kühnel, Wolfgang - Differential geometry.
Curves—surfaces—manifolds. Third edition.
Translated from the 2013 German edition. American Mathematical Society. 2015.

3. J. Madnick - The Second Variation of Null-Torsion Holomorphic
Curves in the 6-Sphere.
ArXiv:2101.09580 (Jan 2021) 35 pages.

4. J. Madnick - Free-Boundary Problems for Holomorphic Curves in the 6-Sphere.
Arxiv:2105.10562 (May 2021). 17 pages.

5. S. Montiel and F. Urbano - Second Variation of Superminimal
Surfaces into Self-Dual Einstein 4-Manifolds. Trans. AMS. (1997).

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Time:  August 27, 15:00

Seminar website: http://kalafat.droppages.com/seminars/gt21.html

Zoom link:

https://boun-edu-tr.zoom.us/j/99710229552?pwd=Ti9HRFRTdVN6QXNUd3BESUhvNlVDQT09

  Meeting ID: 997 1022 9552
  Passcode: geometri



  |Mustafa Kalafat ---------------------------------
  |   Associate Professor of Mathematics    |
  |    Web : http://kalafat.droppages.com/   |
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