[Todos CMAT] AMPLIO ESPECTRO TEMÁTICO: Billiard Online Meeting: Vladimir Dragović - 29 March 2024, 14:00 GMT

[roma]

Recibo y distribuyo

Dear Colleague,

We are pleased to announce the next event of our series of online seminars
on mathematical billiards. We invite you to join us to listen to our
speaker

*Vladimir Dragović (The University of Texas at Dallas) *
*Friday, March 29, 2024, 14:00 GMT (11 AM Brasil/BST)*

Title: Ellipsoidal Billiards, Combinatorics, and Polynomial Pell’s Equations

Abstract: We discuss interrelations between billiards within ellipsoids in
the d-dimensional Euclidean space,  theory of approximations, theory of
partitions, and polynomial Pell’s equations over d real intervals. We
classify periodic trajectories by employing their relationship with
extremal polynomials. We answer positively all three Ramirez-Ros
conjectures. We also study resonant trajectories by relating them to
extremal rational functions and generalized Pell’s equations.  The talk is
based on joint work with Milena Radnović and  the following papers:
1.     V. Dragović, M. Radnović, Periodic ellipsoidal billiard trajectories
and extremal polynomials, Communications. Mathematical  Physics, 2019, Vol.
372, p. 183-211.
2.     G. Andrews, V. Dragović, M. Radnović,  Combinatorics of the periodic
billiards within quadrics,  The Ramanujan Journal, Vol. 61, No. 1, p.
135-147, 2023.
3.     V. Dragović, M. Radnović,  Resonance of ellipsoidal billiards
trajectories and extremal rational functions, Advances in Mathematics,
Article 109044, Vol. 424, 2023.


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---------

José Pedro Gaivão
Sylvie Oliffson Kamphorst
Sonia Pinto de Carvalho

our website: https://sites.google.com/view/bombilliards/

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