Odeljenje za mehaniku, 19. maj 2021.

Naredni sastanak Seminara biće održan u sredu 19. maja 2021. sa početkom u 11 časova u sali 301f Matematičkog instituta SANU.
Predavanja se mogu pratiti i na daljinu.

Predavač: Sean Gasiorek, University of Sydney

Naslov predavanja: MINKOWSKI BILLIARDS ON THE HYPERBOLOID OF ONE SHEET

Apstrakt:
We give a review of Euclidean and pseudo-Euclidean billiards in the plane and in $d$-dimensional space. If the billiard table is bounded by confocal quadrics, periodic trajectories can be expressed in algebro-geometric terms based on work of Poncelet, Cayley, and others. Our work focuses on a billiard problem for compact domains on a hyperboloid of one sheet bounded by confocal quadrics using the pseudo-Euclidean metric. Using a matrix factorization technique of Moser and Veselov, the billiard is shown to be integrable in the sense of Liouville. Further, we derive a Cayley condition for the billiards under consideration and explore geometric consequences. This is joint work with Milena Radnović (University of Sydney/MISANU.

Detalji pristupa na daljinu:
https://miteam.mi.sanu.ac.rs/asset/YfY2cZTcN3YwGqFjc

Napomena: Ukoliko želite da učestvujete u radu seminara ili da postavite pitanja na kraju predavanja, a niste registrovani na miteam platformi Matematičkog instituta, možete se registrovati popunjavanjem forme:
https://miteam.mi.sanu.ac.rs/asset/o9cuDZYqrq7jvFxw8



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