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UID:20240503T062045EDT-8655zOodS9@132.216.177.157
DTSTAMP:20240503T102045Z
DESCRIPTION:Title: Applications of algebra and topology to isoperimetric ei
 genvalue inequalities\n\nAbstract: Spectrum of the Laplace-Beltrami operat
 or is one of the fundamental invariants of a Riemannian manifold. Finding 
 the optimal isoperimetric inequalities for its eigenvalues is a classical 
 problem of spectral geometry going back to J. Hersch\, P. Li and S.-T. Yau
 . One of the main attractions of this problem is the variety of methods em
 ployed to study it. In the present talk we demonstrate this feature and\, 
 in particular\, outline the connections to the theory of minimal surfaces\
 , algebraic geometry and topology. These include recent applications of mo
 duli spaces and cobordism theory. The talk is based on joint works with V.
  Medvedev\, N. Nadirashvili\, A. Penskoi and I. Polterovich.\n
DTSTART:20190322T173000Z
DTEND:20190322T183000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Mikhail Karpukhin \, Irvine University 
URL:https://www.mcgill.ca/channels/channels/event/mikhail-karpukhin-irvine-
 university-295516
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