[Turkmath:2792] ODTÜ Matematik Bölümü Genel Semineri, 1 Mart 2018

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Ercüment Hoca'nın konuşması ODTÜ Matematik Bölümü Gündüz Ikeda seminer
salonunda 1 Mart 2018 Perşembe günü saat 15:40'da başlayacaktır.
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bekleriz.
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Middle East Technical University

Department of Mathematics
GENERAL SEMINAR

Ikeda Seminar Room, March 01, 2018, 15.40

Ercüment Ortaçgil


              REVISITING TORSION AND CURVATURE

     Modern differential geometry is based on two fundamental theories. The
first emerged around 1850 with the revolutionary ideas of Bernhard Riemann
and later evolved into what is now called Riemannian geometry. The second
emerged around 1870 with the revolutionary ideas of Sophus Lie and is now
called Lie theory. In this talk, we will explain that the concept of
covariant differentiation, in particular the concepts of torsion and
curvature, which originated in Riemannian geometry, emerge also from Lie
theory, but with quite different geometric interpretations of torsion and
curvature. If time permits, we will indicate some surprising consequences
of this new derivation.

   This talk is a summary of Part I of the book "An Alternative Approach to
Lie Groups and Geometric Structures" to be published by OUP in July.
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