BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Eigenvalues and constructions of minimal surfaces [MPIM]
DTSTART:20241212T140000Z
DTEND:20241212T150000Z
DTSTAMP:20260317T145700Z
UID:indico-event-134@math-events.uni-bonn.de
DESCRIPTION:Speakers: Mikhail Karpukhin\n\nhttps://www.mpim-bonn.mpg.de/no
 de/13787\nEigenvalues of the Laplace operator of Euclidean domains govern 
 manyphysical phenomena\, including heat flow and sound propagation. Inpart
 icular\, various inequalities for Laplace eigenvalues havefascinated mathe
 maticians since the XIXth century. The followingquestion was first formula
 ted by Lord Rayleigh in his “Theory ofsound”: which planar domain of a
  given area has the lowest firstDirichlet eigenvalue? This is an example o
 f an isoperimetriceigenvalue problem for planar domains. The focus of the 
 present talkis on more general isoperimetric problems\, where one consider
 ssurfaces equipped with Riemannian metrics. More specifically\, sharpupper
  bounds for Laplace and Steklov eigenvalues have been an activearea of res
 earch for the past decade\, largely due to their fascinatingconnection to 
 fundamental geometric objects\, minimal surfaces. We willsurvey recent res
 ults exploring the applications of this connectionboth to minimal surface 
 theory and to isoperimetric eigenvalueproblems\, culminating in recent pow
 erful applications to theconstruction of novel minimal surfaces in the 3-s
 phere and 3-ball.\n \n\nhttps://math-events.uni-bonn.de/event/134/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/134/
END:VEVENT
END:VCALENDAR