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
TimeEventLocationMaterials
9:00 - 10:00am EDTWelcome and Breakfast11th Floor Lecture Hall 
10:00 - 11:00am EDTProgress report: Project 1 (capacities)11th floor lecture hall 
11:30 - 12:30pm EDTProgress Report: Project 2 (egg-beaters)  
12:30 - 2:30pm EDTLunch  
2:30 - 3:30pm EDTKhanevsky - 111th floor lecture hall 
4:00 - 5:00pm EDTBorman - 111th floor lecture hall 
Tuesday, July 28, 2015
TimeEventLocationMaterials
10:00 - 11:00am EDTKhanevsky - 210th floor classroom 
11:30 - 12:30pm EDTBorman - 210th floor classroom 
12:30 - 2:30pm EDTLunch  
2:30 - 5:00pm EDTWork in GroupsGroup #1: 11th floor conference room Group #2: 10th floor collaborative space 
5:00 - 6:30pm EDTWelcome Reception11th Floor Collaborative Space 
Wednesday, July 29, 2015
TimeEventLocationMaterials
10:00 - 5:00pm EDTWork in GroupsGroup #1: 11th floor conference room Group #2: 10th floor collaborative space 
Thursday, July 30, 2015
TimeEventLocationMaterials
10:00 - 12:30pm EDTWork in GroupsGroup #1: 11th floor conference room Group #2: 10th floor collaborative space 
12:30 - 2:30pm EDTLunch  
2:30 - 3:30pm EDTProgress Report: Project 1 (capacities)10th Floor Classroom 
4:00 - 5:00pm EDTProgress Report: Project 2 (egg-beaters)10th Floor Classroom 
Friday, July 31, 2015
TimeEventLocationMaterials
10:00 - 5:00pm EDTWork in GroupsGroup #1: 11th floor conference room Group #2: 10th floor collaborative space 
Monday, August 3, 2015
TimeEventLocationMaterials
10:00 - 5:00pm EDTWork in GroupsGroup #1: 11th floor conference room Group #2: 10th floor collaborative space 
Tuesday, August 4, 2015
TimeEventLocationMaterials
10:00 - 12:00pm EDTConcluding Report: Project 1 (capacities)11th floor lecture hall 
12:00 - 12:05pm EDTComputational Symplectic Topology Group Picture11th Floor Lecture Hall 
12:00 - 2:00pm EDTLunch  
2:00 - 4:00pm EDTConcluding Report: Project 2 (egg-beaters)11th floor lecture hall 
Wednesday, August 5, 2015
TimeEventLocationMaterials
10:00 - 12:00pm EDTWork in Groups  
12:00 - 2:00pm EDTLunch  
2:00 - 4:30pm EDTConclusion  

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.