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DTSTAMP:20201028T200000Z
UID:1603718348637@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20201028T200000Z
DTEND:20201028T210000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
 Keshav Sutrave from Michigan State University 
 will be speaking.\n
 \n
 The seminar is titled "The 
 Principle of Symmetric Criticality."\n
 \n
 This 
 is a virtual meeting.\n
 \n
 Contact Danika Vanniel 
 (vannield@msu.edu) for more information.\n
 \n
 (Palais, 
 1979) Many problems are set up 
 as variational problems. That is, on a (possibly 
 infinite-dimensional) manifold M with a group 
 of symmetries G, we look for critical points 
 of a G-invariant functional f. In order 
 to do this, we might first restrict ourselves 
 to looking at the set S of G-symmetric points 
 of M (points p such that gp=p for all g). The 
 principle asserts that if p is a critical 
 point of f restricted to S, then p is in fact 
 a critical point in M. In other words: "Critical 
 symmetric points are symmetric critical 
 points". For example, harmonic functions on a 
 space X are critical points of an energy functional 
 on a space of functions M = {X to R}. 
 To find a harmonic map on X, we might start 
 by considering only maps which are rotationally 
 symmetric. The principle states that it suffices 
 to consider only rotationally symmetric 
 variations as well. This reduces the problem 
 from a PDE to an ODE, how nice! Anyway, the 
 Principle does not always hold, but in some 
 very general situations it does. Let's find out 
 about them.\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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