Speaker:  Vladimir Dragovic (The University of Texas at Dallas)

Date and time: 10.02.2021, 17:00 (GMT +03:00)

Title: Introduction to Poncelet porisms and ramifications

Abstract: The Poncelet theorem is one of the most beautiful results from projective geometry. Despite its long history, it again and again re-appears and reincarnates connecting various fields of mathematics. We will review a wreath of topics from classical to modern ones.

References:

V. Dragovic, M. Radnovic, Poncelet Porisms and Beyond monograph, 2011, Springer, Birkhauser, ISBN 978-3-0348-0014-3.

V. Dragovic, M. Radnovic, Integrable billiards, quadrics and higher-dimensional Poncelet porisms, Regular and Chaotic Dynamics, 2010, 340 p., ISBN 978-5-93972-831-7 [in Russian].

V. Dragovic, M. Radnovic, Bicentennial of the great Poncelet theorem (1813-2013): current advances, Bulletin of the American Mathematical Society, Vol. 51, 2014, 373-445.

V. Dragovic, M. Radnovic, Periodic ellipsoidal billiard trajectories and extremal polynomials, Communications in Mathematical  Physics, 2019, Vol. 372, p. 183-211.

V. Dragovic, V. Shramchenko, Algebro-geometric solutions of the Schlesinger systems and the Poncelet-type polygons in higher dimensions, International Math. Research Notices,  2018, Vol. 2018, No 13, p. 4229-4259.

V. Dragovic, Geometrization and Generalization of the Kowalevski top Communications in Mathematical Physics, 2010, Vol. 298, No. 1, p. 37-64.

G. Andrews, V. Dragovic, M. Radnovic, Combinatorics of the periodic billiards within quadrics, arXiv: 1908.01026, The Ramanujan Journal, DOI: 10.1007/s11139-020-00346-y.

To access the online seminar please contact  Anna Tolbey bekvaanna@gmail.com