[Turkmath:4698] Reminder: Seminar on December 4, 2020 via Zoom

Mehmet Akif Erdal mehmet.erdal at yeditepe.edu.tr
Fri Dec 4 07:07:00 UTC 2020


Dear List Members,

You are most cordially invited to the seminar organized by the Department
of Mathematics, Yeditepe University.

Title: Existence of Almost Complex Foliations on Spheres

Speaker: Turgut Önder (Middle East Technical University)

Abstract: Intuitively, a foliation on a manifold corresponds to a partition
of the manifold into connected, immersed submanifolds of the same
dimension, called leaves which form locally layers of a Euclidean space. An
almost complex foliation is a foliation whose tangent bundle admits a
complex structure. The existence problem of foliations on closed manifolds
is reduced to the existence problem of plane fields in 1970’s by W.
Thurston which can be attacked by algebraic topological methods. However,
not much has been written about the existence problem of almost complex
foliations. On spheres, İ. Dibağ’s results provide concrete necessary
conditions in terms of the dimension of the sphere and the dimension of the
foliation. In this talk, after reviewing some basic notions about the
foliations, we will present some results in the other direction, i.e. about
the sufficient conditions for the existence of almost complex foliations on
spheres.

Date: Friday, December 4, 2020
Time: 17:00
Zoom: Please contact me for the Zoom link.

http://www.turkmath.org/beta/seminer.php?id_seminer=2479
<https://meet.google.com/rae-egmn-bnc>
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