[Todos] Dmitry Jakobson en el coloquio del DM manana jueves 18 de julio 2019 -15h

[coloquio en dm.uba.ar]

Estimados/as,

tengo el placer de anunciarles  que el proximo coloquio del departamento
de matematica sera el proximo jueves 18 de julio de 2019 a las 15h 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