[CvGmt News] Seminario Livia Corsi (20/06/2017)

[Alfonso Sorrentino]

SEMINARIO DI EQUAZIONI DIFFERENZIALI
Dipartimento di Matematica
Universita' degli Studi di Roma "Tor Vergata"


Martedi' 20 Giugno 2017, ore 14:30 Aula Dal Passo

Livia Corsi (Georgia Tech, Atlanta)

Titolo: Billiards and rigid rotations.


Abstract:
Probably one of the most famous open problems concerning biliard systems
is the Birkhoff conjecture: "If a biliard map is integrabile than the
boundary of the biliard table is an ellipse".
Recently Treschev conjectured that there might exist analytic biliards,
different from ellipses, for which the dynamics in the neighborhood of the
period-2 orbit is conjugated to a rigid rotation, suggesting a very
interesting example of local integrability for biliard tables different
from ellipses. However the result of Treschev is only formal in the sense
that he finds only a formal power series. Our aim is to prove the
convergence of such series. This is a joint work (in progress) with M.
Procesi.


Website: http://www.mat.uniroma2.it/~sorrenti/SeminarioED.html


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