[Todos] HOY Dmitry Jakobson en el coloquio del DM -15h

coloquio en dm.uba.ar coloquio en dm.uba.ar
Jue Jul 18 12:23:19 -03 2019


Estimados/as,

les recuerdo que hoy a las 15h tenemos un coloquio del departamento
de matematica en el aula de seminario del DM/IMAS.

 Hablará Dmitry Jakobson (Peter Redpath Professor - McGill University -
 Canada)

 http://www.math.mcgill.ca/jakobson/

 Titulo: Zero and negative eigenvalues of conformally covariant
 operators,and nodal sets in conformal geometry.

  Resumen:

 We study conformal invariants that arise from nodal sets and negative
 eigenvalues of conformally covariant operators, which include the Yamabe
 and Paneitz operators. We give several applications to curvature
 prescription problems. We establish a version in conformal geometry of
 Courant’s Nodal Domain Theorem. We prove that the Yamabe operator can have
 an arbitrarily large number of negative eigenvalues on any manifold of
 dimension n ≥ 3. We show that 0 is generically not an eigenvalue of
 the conformal Laplacian. If time permits, we shall discuss related results
 for manifolds with boundary, and for weighted graphs. This is joint work
 with Y. Canzani, R. Gover, R. Ponge, A. Hassannezhad, M. Levitin, M.
 Karpukhin, G. Cox and Y. Sire.

  Saludos,

  Nicolas Saintier


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