[Todos CMAT] Este jueves 17 hrs, SD seminario, Lucas Ambrozio. IMPA, 101.

[Martin Reiris - CMAT]

Hola, este jueves hay un seminario especial de SD que por alguna razón no
llegó al CMat. Lucas Ambrozio del IMPA.  Va el título y abstract!

Nos vemos! Va la información debajo.

Hola,

Notar el cambio de salón. Mañana jueves 21/03 a las 17:00 en el Salón Marrón
(705) tendremos una sesión extraordinaria del Seminario de Dinámica.

Expositor: Lucas Ambrozio (IMPA)

Título: The width of embedded circles

Resumen: Width is a classical geometric invariant of plane curves. It measures
how narrow they are. Its definition, however, is based on Euclidean
geometry and not easily generalisable beyond other constant curvature
spaces. We will discuss how the variational theory of the Riemannian
distance function, developed along the lines of Lusternik-Schnirelmann
theory, can be used to define a meaningful notion of width for curves
embedded in any complete Riemannian manifold, of any dimension. In
particular, this definition allow to generalise another classical notion -
curves of constant width - and to prove the existence of geodesics that
meet two points of the curve in certain geometrically
special configurations - for instance, in same cases, orthogonally. The talk
will be based on joint work with Rafael Montezuma (UFC - Fortaleza) and
Roney Santos (USP - São Paulo).

Saludos,

Luis Pedro y Santiago
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