[Turkmath:5608] Null torsion holomorphic curves in 6-dimensional sphere - Differential Geometry Seminar - May 6, 2022, 15:30

[Mustafa Kalafat]

Sevgili Geometriseverler...


Yeni dönem Modern Geometri seminerinde,
6 boyutlu küredeki holomorfik eğrileri inceleyeceğiz.
Torsionu sıfır olanlara odaklanacağımız bu eğrilerin
minimal yüzey olma özelliği de mevcuttur.

Herkese iyi çalışmalar...

m. kalafat


NOT: Katılımcıların toplanması ve
teknik ayarlamalar sebebiyle geometri semineri
zaman zaman 10-15dk. rötarlı başlayabilmektedir.
Anlayışınız için şimdiden teşekkürler.

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Null torsion holomorphic curves in 6-dimensional sphere


In this learning seminar series we will make an introduction to the
holomorphic curves in the 6-dimensional sphere. Recall that the
6-sphere is the only sphere in higher dimesions which has an almost
complex structure. See the Reference-2 for the history of the Hopf
problem.

This allows us to talk about holomorphic curves inside it. Since they
are complex curves of a complex dimension 3-space, they have an
analogue of Frenet-Serre frame equations called Frenet-Boruvka
formulas. In the round 6-sphere, null-torsion holomorphic curves are
fundamental examples of minimal surfaces.

We will be using the following resources.

References:

1. Madnick, Jesse. - The Second Variation of Null-Torsion Holomorphic
Curves in the 6-Sphere.
Available at the arXiv:2101.09580 (Jan 2021) 34 pages.

2. Agricola, I; Bazzoni, G; Goertsches, O; Konstantis, P; Rollenske,
S. - On the history of the Hopf problem.
Differential Geom. Appl. 57 (2018), 1–9. Here is the Volume:

     https://www.sciencedirect.com/journal/differential-geometry-and-its-applications/vol/57/suppl/C

            and the Event web site.

     https://www.mathematik.uni-marburg.de/~agricola/Hopf2017/


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Time:  Friday, May 6, 3:30 pm

Seminar website: http://kalafat.droppages.com/seminars/gt22.html

Zoom link:

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

  Meeting ID: 997 1022 9552
  Passcode: geometri




 |Mustafa Kalafat -----------------------------------------
 |    University of Bonn                                         |
 |    Office: Endenicher Allee 60, Zimmer 1.036   |
 |    Email: kalafat at math.uni-bonn.de                 |
 |    Web  : http://kalafat.droppages.com/             |
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