[Todos CMAT] Seminario de Sistemas Dinámicos - Lucas Ambrozio (IMPA)

[seminarios en cmat.edu.uy]

Seminario de Sistemas Dinámicos
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Título: "The width of embedded circles"

Expositor: Lucas Ambrozio (IMPA)

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).
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Jueves 21/3 a las 17:00, Salón de seminarios del IMERL

Contacto: Santiago Martinchich - Luis Pedro Piñeyrúa - santiago.martinchich en fcea.edu.uy - lpineyrua en fing.edu.uy
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El seminario será transmitido por el siguiente link si alguien manifiesta
interés de que así ocurra hasta el día antes del seminario: https://salavirtual-
udelar.zoom.us/j/83020032334?pwd=djAxdmg2K3NDVEU0V3RZSXkxNW8xUT09
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