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DTSTAMP:20200226T211000Z
UID:1582739020378@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20200226T211000Z
DTEND:20200226T220000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
Student Geometry/Topology\n
Speaker: Keshav Sutrave\n
Title:
A hot approach to the Hodge Theorem
(Heat Equation)\n
Date: 02/26/2020\n
Time:
4:10 PM - 5:00 PM\n
Place: C517 Wells Hall\n
The
Hodge theorem is a result regarding Laplace's
equation for differential forms on a Riemannian
manifold (I will introduce the setup for
this). Like many celebrated theorems in geometry,
it gives a calculable geometric insight
on the topology of the space. Normally, the
method for solving this PDE is an "elliptic
equation" procedure, but I will instead show
a heat equation (parabolic) approach to the problem.
We will see that the topology emerges
in the long time behavior of the heat flow.
Further work with this approach leads to results
such as the Chern-Gauss-Bonnet theorem, and
(almost literally) draws a line connecting
geometry and topology.\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:C517 Wells Hall
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