Workshop: Mathematical Billiards: At the Crossroads of Dynamics, Geometry, Analysis, and Mathematical Physics: November 13 – 17, 2023

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Organized by:
• Misha Bialy (Tel Aviv)
• Milena Radnovic (Sydney)
• Alfonso Sorrentino (Rome Tor Vergata)
• Sergey Tabachnikov (Penn State University)

The last few years have witnessed an impressively high level of advances in the study of the dynamics of mathematical billiards, shedding new light on their profound connections with important problems in geometry, analysis, and mathematical physics. Moreover, billiard-type dynamics is ubiquitous and is significant in the analysis of many physical systems and for real-life applications, for instance in geometric optics.

Some of these questions have recently experienced a renaissance thanks to important breakthroughs that have given a new boost to the research on these topics; it is therefore very timely and even urgent to grasp this moment, in order to capitalize on and further our understanding. The manifold nature of these subjects requires a deep interaction between different – but very much related – research communities. Our program aims to bridge this gap and provide a unique opportunity for this diverse expertise to interact and effectively integrate, a fundamental step in order to tackle several longstanding questions and explore the new interesting directions that are emerging. We plan to organize several activities that should foster this hybridization of knowledge, including introductory courses on selected topics, which could be particularly beneficial for graduate students and early-career researchers, weekly seminars and suitably focused working groups. We also plan to organize an international one-week workshop to present the current state of the research on these topics and the most recent advances.

This workshops is associated with the program: Mathematical billiards: at the crossroads of dynamics, geometry, analysis, and mathematical physics: October 9-December 15, 2023

Talk Schedule


Time Title Speaker Location
9:00am Breakfast N/A SCGP Cafe
9:30am On some Impact-like systems Vered Rom-Kedar SCGP 102
10:30am Coffee N/A SCGP Cafe
11:00am Quantum ergodicity for manifolds and billiards.” Dmitry Jakobson SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:30pm Compactness of the Marked Length Isospectral Set Amir Vig SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm Birkhoff attractors of dissipative billiards Martin Leguil SCGP 102

Time Title Speaker Location
9:00am Breakfast N/A SCGP Cafe
9:30am Two degenerate billiard-like problems Sergey Bolotin SCGP 102
10:30am Coffee N/A SCGP Cafe
11:00am On the variational approach to expanding and oscillating solutions to the N-body problem Susanna Terracini SCGP 102
12:00pm Group Photo N/A SCGP Lobby
12:00pm Lunch N/A SCGP Cafe
2:30pm Adiabatic invariants in billiards Mark Levi SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm Some new results for open dynamical systems. Yaofeng Su SCGP 102

Time Title Speaker Location
9:00am Breakfast N/A SCGP Cafe
9:30am Infinite volume mixing for billiards Dmitry Dolgopyat SCGP 102
10:30am Coffee N/A SCGP Cafe
11:00am Projective Cones for Dispersing Billiards Mark Demers SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:30pm Experiments in outer length billiards Lael Costa SCGP 102/td>
3:30pm Tea Time N/A SCGP Cafe
4:00pm Optimal property of the Symmedian point Maxim Arnold SCGP 102
6:00pm Dinner Banquet N/A SCGP Cafe

Time Title Speaker Location
9:00am Breakfast N/A SCGP Cafe
9:30am Nonconmutative coboundary equations over integrable dynamics Maria Saprykina SCGP 102
10:30am Coffee N/A SCGP Cafe
11:00am On symplectic capacities and volume Alberto Abbondandolo SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:30pm Convex bodies with all characteristics planar Anastasiia Sharipova SCGP 102
3:30pm Tea Time N/A SCGP Cafe
4:00pm On the existence of symplectic barriers Pazit Haim-Kizlev SCGP 102

Time Title Speaker Location
9:00am Breakfast N/A SCGP Cafe
9:30am Length Spectrum Rigidity in Dispersing Billiard Systems Otto Vaughn Osterman SCGP 102
10:30am Coffee N/A SCGP Cafe
11:00am Weakly mixing billiards in polygons Giovanni Forni SCGP 102
12:00pm Lunch N/A SCGP Cafe
3:30pm Tea Time N/A SCGP Cafe