Bernoulli Lecture - Internal waves and homeomorphism of the circle   25 March 2021

17:15 - 18:15

Lecturer

Maciej Zworski, University of California, Berkeley

Zoom link : 

https://epfl.zoom.us/j/84152394889?pwd=YjZuOWN6U3RhNXU2Z2h6TVFxUUMzUT09

Password : 877747


The connection between the formation of internal waves in fluids and the dynamics of homeomorphisms of the circle was investigated by oceanographers in the 90s and resulted in novel experimental observations (Maas et al, 1997). The specific homeomorphism is given by a ``chess billiard" and has been considered by many authors (John 1941, Arnold 1957, Ralston 1973, ... , Nogueira-Troubetzkoy 2020). The relation between the nonlinear dynamics of this homeomorphism and linearized internal waves provides a striking example of classical/quantum correspondence (in a classical and surprising setting of fluids!) and, using a model of tori and of zeroth order pseudodifferential operators, it has been a subject of recent research, first by Colin de Verdière-Saint Raymond 2020 and then by Dyatlov, Galkowski, Wang and the speaker. In these works, many facets of the relationship between hyperbolic sources and sinks for the classical dynamics and internal waves in fluids were explained. I will present some of these results as well as some numerical discoveries (including those of Almonacid-Nigam 2020). I will also describe various open problems.


Name University Dates of visit
Jaber Akbari Cheshani Shahid Beheshti University 25/03/2021 - 25/03/2021
Wael Bahsoun Loughborough University 25/03/2021 - 25/03/2021
Viviane Baladi CNRS and Sorbonne University 25/03/2021 - 25/03/2021
Moritz Doll Universität Bremen 25/03/2021 - 25/03/2021
Kasun Fernando University of Toronto 25/03/2021 - 25/03/2021
Ola Hajj Sleiman American University Of Beirut 25/03/2021 - 25/03/2021
Malo Jézéquel LPSM, Sorbonne Université 25/03/2021 - 25/03/2021
Niloofar Kiamari Roma Tre University 25/03/2021 - 25/03/2021
Anna Kis University of Waterloo 25/03/2021 - 25/03/2021
Robert Leek University of Birmingham 25/03/2021 - 25/03/2021
Diego Liberati National research council of Italy 25/03/2021 - 25/03/2021
Yuxuan Liu Kyushu University 25/03/2021 - 25/03/2021
Keivan Mallahi-Karai Jacobs University 25/03/2021 - 25/03/2021
Mauditra Matin Bandung Institute of Technology 25/03/2021 - 25/03/2021
Sarah Pardo New York University 25/03/2021 - 25/03/2021
David Parmenter University of Warwick 25/03/2021 - 25/03/2021
Anke Pohl Universität Bremen 25/03/2021 - 25/03/2021
Françoise Pène Univ Brest 25/03/2021 - 25/03/2021
Abolfazl Shabani Shahid Beheshti University 25/03/2021 - 25/03/2021
Samuel Tapie Nantes 25/03/2021 - 25/03/2021
Caroline Wormell LPSM, CNRS 25/03/2021 - 25/03/2021
Hui Xiao Universität Hildesheim 25/03/2021 - 25/03/2021
Nasab Yassine University of Brest 25/03/2021 - 25/03/2021
Maciej Zworski University of California, Berkeley 25/03/2021 - 25/03/2021
Total Guests : 24
Name University Dates of visit
Total Guests : 0
Conference in Honor of the 70th Birthday of Tudor Ratiu, 20 to 24 July 2020.
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