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SUMMARY:Semiclassical analysis on filtered manifolds - Clotilde Fermanian 
 (Université Angers)
DTSTART:20260112T140000Z
DTEND:20260112T150000Z
UID:TALK238153@talks.cam.ac.uk
DESCRIPTION:In this talk\, we will discuss the construction of pseudodiffe
 rential operators on filtered manifolds and the semiclassical approach of 
 partial differential equations (PDEs) that it allows. Indeed\, a natural e
 xample of filtrations of the tangent space of a manifold is the one genera
 ted by the set of vector fields involved in the hypoellipticity of an oper
 ator via the H&ouml\;rmander condition. Thus\, there is a tight link betwe
 en filtered manifolds and these operators\, and it is not surprising that 
 a pseudodifferential calculus adapted with the filtration is adequate for 
 studying PDEs involving this operator. We will carefully define the items 
 involved in the construction\, and develop examples.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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