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DTSTART:20230312T070000
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DTSTART;TZID=America/Toronto:20240226T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/colloquium-38
SUMMARY:Colloquium
CLASS:PUBLIC
DESCRIPTION:ALINA STANCU\, CONCORDIA UNIVERSITY\n\n\"ON THE FUNDAMENTAL GAP
  OF CONVEX DOMAINS IN HYPERBOLIC SPACE\"\n\nThe difference between the fir
 st two eigenvalues of the Dirichlet\nLaplacian on convex domains of R^n an
 d\, respectively S^n\, satisfies\nthe same strictly positive lower bound d
 epending on the diameter of\nthe domain. In work with collaborators\, we h
 ave found that the gap of\nthe hyperbolic space on convex sets behaves str
 ikingly different even\nif a stronger notion of convexity is employed. Thi
 s is very\ninteresting as many other features of first two eigenvalues beh
 ave in\nthe same way on all three spaces of constant sectional curvature.
  \n\nMC 5501
DTSTAMP:20260505T133120Z
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