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DTSTAMP:20201110T210000Z
UID:1604933031033@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20201110T210000Z
DTEND:20201110T220000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
Colloquium\n
\n
Erhard Scholz from Universität Wuppertal
wil be speaking.\n
\n
The presentation
is titled "How Hermann Weyl took up Riemann's
ideas on differential geometry on manifolds
and proposed to go beyond them."\n
\n
This is
a virtual meeting.\n
\n
Contact Aaron D Levin (levina@msu.edu)
for more information.\n
\n
Starting
from a short review of Riemann's sketch
of a geometry on manifolds (1854ff.) this talk
discusses how Hermann Weyl proposed to take
up Riemann's ideas and how to modify them in
the light of his views of the new developments
in the foundations of analysis and in physics
(the general theory of relativity, GTR).
Although in his early work (1913) Weyl contributed
to the later axiomatisation of the concept
of manifolds, his own preferences lay clearly
in a constructive approach (for a time even
an intuitionistic one). Moreover, he saw
a basic problem for accepting Riemannian geometry
as an adequate geometric framework for a
field theoretic foundation of physics. As an
alternative he proposed a purely infinitesimal''
approach to the metric -- later called Weyl
geometry. It contained the first instance
of an (explicit) gauge structure which --in
transformed form -- became the grandfather of
the later gauge theories in physics.\n\n
Price: free\n
Sponsor: Department of Mathematics\n
Sponsor's Homepage: https://www.math.msu.edu/\n
Contact name: Department of Mathematics\n
Contact phone: (517) 353-0844\n
for more info visit the web at:\n
https://www.math.msu.edu/Seminars/CalendarView.aspx?month-of=September2016\n
LOCATION:Online via Zoom
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