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SUMMARY:On geometric eigenvalue bounds [MPIM]
DTSTART:20260512T143000Z
DTEND:20260512T153000Z
DTSTAMP:20260508T062700Z
UID:indico-event-1306@math-events.uni-bonn.de
DESCRIPTION:Speakers: Filip Pietrzak (Universität Bonn/MPIM)\n\nReading g
 roup on spectral geometry\nThe aim of this talk is to introduce classical 
 methods of dealing with eigenvalues on manifolds. We will begin with varia
 tional characterization via  minimax principles\, then we will talk about
  topological restraints arising form Courant's nodal domain theorem. From 
 there we turn towards isoperimetric problems introducing Cheeger constant 
 and proving Cheeger's inequality - establishing a lower bound for smallest
  eigenvalue. If time allows we will show Buser's upper bound for $\\lambda
 _1$ and provide some examples.\n \n \n\nhttps://math-events.uni-bonn.de/
 event/1306/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1306/
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