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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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