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PRODID:-//Virginia Tech//VT Calendar//EN
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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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