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PRODID:-//Virginia Tech//VT Calendar//EN
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DTSTAMP:20200922T190000Z
UID:1600436541927@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20200922T190000Z
DTEND:20200922T200000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
Geometry and Topology\n
\n
Jeffrey Case from Penn
State will be speaking.\n
\n
The seminar is titled
"A geometric approach to fractional powers
of the Laplacian and sharp Sobolev trace
inequalities."\n
\n
This meeting will take place
online.\n
\n
The abstract is as follows:\n
A seminal
paper of Caffarelli and Silvestre identifies
fractional powers of the Laplacian on
Euclidean space as Dirichlet-to-Neumann operators.
In this talk, I will use conformal geometry
to generalize their approach to Riemannian
manifolds. More specifically, I will present
multiple (equivalent) definitions of (conformally
covariant) operators with principal symbol
that of a fractional power of the Laplacian.
I will also discuss how these operators
lead to a simple derivation of a broad family
of sharp Sobolev trace inequalities.\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:Zoom link provided on Math Seminars page
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