University of Toronto
                  PDE/Applied Math/Analysis Seminar
                    Friday 13 October, 12:10-1:00pm
                          2195 Bahen Center      



SPEAKER:  Young-Heon Kim

TITLE:    Determinants of Laplacians and isospectrality of compact surfaces 
	  with boundary.

ABSTRACT: The determinant of the Laplacian is a global Riemannian invariant 
	  which is defined formally as the product of infinitely many nonzero 
	  eigenvalues of the Laplacian of the given Riemannian metric. It 
	  gives us a continuous function on the space of Riemannian metrics, 
	  and knowing the property of this function, for example its 
	  properness, is relevant to the question of isospectral compactness: 
	  The set of isometric families of Riemannian metrics of the same 
	  Laplacian spectrum, is it compact in C^\infty topology?

	  We will present the results in the preprint 
	   http://arxiv.org/abs/math/0609085, 
	  which addresses the above things for the case of compact surfaces 
	  with boundary.




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University of Toronto PDE/Applied Math/Analysis Seminar 
http://www.math.toronto.edu/appmath/

2006-2007 organizers:
          Pieter Blue           pblue@ math.toronto.edu
          Almut Burchard        almut@ math.toronto.edu
          Robert McCann		mccann@ math.toronto.edu
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