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SUMMARY:The hypoelliptic Laplacian and propagation speed
DTSTART:20250623T110000
DTEND:20250623T120000
DTSTAMP:20260923T022939Z
UID:bd3882ef496c6fa4aef756ad777bcfb06d2f5164e8adad95d4bbf9ff
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jean-Michel Bismut\, Institut de Mathématique d'Orsay\nIn the
  talk\, he will review some aspects of the geometric hypoelliptic Laplacia
 n in connection with propagation speed. We will consider in detail the fla
 t hypoelliptic Laplacian\, and the associated Hamilton-Jacobi equation. Th
 e proper uniform control of the flat action functional as b → 0 gives a 
 corresponding uniform control of the geometric hypoelliptic heat kernel on
  compact manifolds\, and on noncompact manifolds of negative curvature at 
 large distances. While the standard heat equation has infinite propagation
  speed\, the geodesic flow propagates at finite speed. The question will b
 e to know at what speed does the geometric hypoelliptic Laplacian propagat
 e. Connections with the wave equation will be discussed. 
LOCATION:GA 3 21 https://plan.epfl.ch/?room==GA%203%2021
STATUS:CONFIRMED
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