Organizing Committee
- Richard Hind
University of Notre Dame - Yaron Ostrover
Tel Aviv University - Leonid Polterovich
Tel Aviv University - Michael Usher
University of Georgia
Abstract
Symplectic and contact geometry and topology, which provide a natural setting for Hamiltonian dynamics, comprise a broad spectrum of interrelated disciplines in the mainstream of modern mathematics. The past two decades gave rise to several exciting developments in these fields: on one hand, powerful new mathematical tools and concepts were introduced, solving long-standing problems that were previously unattainable; and on the other hand, challenging and exciting new questions arose for future research. Presently, symplectic and contact geometry have connections with an amazingly wide range of areas in mathematics and physics: differential and algebraic geometry, complex analysis, dynamical systems, low-dimensional topology, quantum mechanics, and string theory.
The research program will address a number of cutting-edge research topics within symplectic and Hamiltonian dynamics, with a special focus on computational and experimental aspects.
Program Structure
Several projects will be developed by the faculty organizers. Graduate students will be collaborating in teams formed around each project. All graduate students will participate in both sessions of the program: 05/17/2015 - 05/26/2015 in Tel-Aviv, and 07/27/2015 - 08/05/2015 at ICERM. Between the site visits, the teams will continue collaborating remotely via email and video-conferencing.
Selection and financial arrangements
We plan to have 14 graduate students participate in the program (7 from US universities and 7 Israeli students). Review of applications will begin on January 2, 2015 and close when the positions are filled. Accepted US-based graduate students will be reimbursed for travel (to ICERM and to Tel-Aviv) and for local accommodations (shared housing). A meal allowance is included.
Confirmed Speakers & Participants
Talks will be presented virtually or in-person as indicated in the schedule below.
- Speaker
- Poster Presenter
- Attendee
- Virtual Attendee
-
Daniel Alvarez-Gavela
Stanford University
-
Gautam Banhatti
University of Muenster (WWU Muenster)
-
Matthew Borman
University of Illinois
-
Robert Castellano
Columbia University
-
Yaniv Ganor
Tel Aviv University
-
Richard Hind
University of Notre Dame
-
Victoria Kaminker
Tel Aviv University
-
Michael Khanevsky
Technion Israel Institute of Technology
-
Asaf Kislev
Tel Aviv University
-
Konstantin Kliakhandler
Tel Aviv University
-
Jeremy Lane
University of Toronto
-
Yaron Ostrover
Tel Aviv University
-
Andrei Pavlichenko
University of Missouri-Columbia
-
Christopher Policastro
University of California Berkeley
-
Leonid Polterovich
Tel Aviv University
-
Itamar Rauch
Tel Aviv University
-
Lorenzo Rigolli
Ruhr Universität Bochum
-
Daniel Rosen
Tel Aviv University
-
Karina Samvelyan
Tel Aviv University
-
Ood Shabtai
Tel Aviv University
-
Kyler Siegel
Stanford University
-
Richard Stevenson
University of Georgia
-
Shira Tanny
Tel Aviv University
-
Emmanuel Tsukerman
University of California, Berkeley
-
Michael Usher
University of Georgia
-
Jun Zhang
University of Georgia
Workshop Schedule
Monday, July 27, 2015
Time | Event | Location | Materials |
---|---|---|---|
9:00 - 10:00am EDT | Welcome and Breakfast | 11th Floor Lecture Hall | |
10:00 - 11:00am EDT | Progress report: Project 1 (capacities) | 11th floor lecture hall | |
11:30 - 12:30pm EDT | Progress Report: Project 2 (egg-beaters) | ||
12:30 - 2:30pm EDT | Lunch | ||
2:30 - 3:30pm EDT | Khanevsky - 1 | 11th floor lecture hall | |
4:00 - 5:00pm EDT | Borman - 1 | 11th floor lecture hall |
Tuesday, July 28, 2015
Time | Event | Location | Materials |
---|---|---|---|
10:00 - 11:00am EDT | Khanevsky - 2 | 10th floor classroom | |
11:30 - 12:30pm EDT | Borman - 2 | 10th floor classroom | |
12:30 - 2:30pm EDT | Lunch | ||
2:30 - 5:00pm EDT | Work in Groups | Group #1: 11th floor conference room Group #2: 10th floor collaborative space | |
5:00 - 6:30pm EDT | Welcome Reception | 11th Floor Collaborative Space |
Wednesday, July 29, 2015
Time | Event | Location | Materials |
---|---|---|---|
10:00 - 5:00pm EDT | Work in Groups | Group #1: 11th floor conference room Group #2: 10th floor collaborative space |
Thursday, July 30, 2015
Time | Event | Location | Materials |
---|---|---|---|
10:00 - 12:30pm EDT | Work in Groups | Group #1: 11th floor conference room Group #2: 10th floor collaborative space | |
12:30 - 2:30pm EDT | Lunch | ||
2:30 - 3:30pm EDT | Progress Report: Project 1 (capacities) | 10th Floor Classroom | |
4:00 - 5:00pm EDT | Progress Report: Project 2 (egg-beaters) | 10th Floor Classroom |
Friday, July 31, 2015
Time | Event | Location | Materials |
---|---|---|---|
10:00 - 5:00pm EDT | Work in Groups | Group #1: 11th floor conference room Group #2: 10th floor collaborative space |
Monday, August 3, 2015
Time | Event | Location | Materials |
---|---|---|---|
10:00 - 5:00pm EDT | Work in Groups | Group #1: 11th floor conference room Group #2: 10th floor collaborative space |
Tuesday, August 4, 2015
Time | Event | Location | Materials |
---|---|---|---|
10:00 - 12:00pm EDT | Concluding Report: Project 1 (capacities) | 11th floor lecture hall | |
12:00 - 12:05pm EDT | Computational Symplectic Topology Group Picture | 11th Floor Lecture Hall | |
12:00 - 2:00pm EDT | Lunch | ||
2:00 - 4:00pm EDT | Concluding Report: Project 2 (egg-beaters) | 11th floor lecture hall |
Wednesday, August 5, 2015
Time | Event | Location | Materials |
---|---|---|---|
10:00 - 12:00pm EDT | Work in Groups | ||
12:00 - 2:00pm EDT | Lunch | ||
2:00 - 4:30pm EDT | Conclusion |
Completed Student Projects
D. Alvarez-Gavela, V. Kaminker, A. Kislev, K. Kliakhandler, A. Pavlichenko, L. Rigolli, D. Rosen, O. Shabtai, B. Stevenson, J. Zhang. Embeddings of free groups into asymptotic cones of Hamiltonian diffeomorphisms. Posted on arXiv.