- Diego Cordoba
- Erwan Faou
- Patrick Gerard
Paris-Sud University, Orsay
- Pierre Germain
NYU - Courant Institute
- Alexandru Ionescu
- Alex Kiselev
- Andrea Nahmod
University of Massachusetts Amherst
- Kenji Nakanishi
Research Institute for Mathematical Sciences, Kyoto University
- Benoit Pausader
- Themistoklis Sapsis
Massachusetts Institute of Technology
- Gigliola Staffilani
Massachusetts Institute of Technology
Dispersive equations are ubiquitous in nature. They govern the motion of waves in plasmas, ferromagnets, and elastic bodies, the propagation of light in optical fibers and of water in canals. They are relevant from the ocean scale down to atom condensates. There has been much recent progress in different directions, in particular in the exploration of the phase space of solutions of semilinear equations, advances towards a soliton resolution conjecture, the study of asymptotic stability of physical systems, the theoretical and numerical study of weak turbulence and transfer of energy in systems out of equilibrium, the introduction of tools from probability and the recent incorporation of computer assisted proofs. This semester aims to bring together these new developments and to explore their possible interconnection.
Dispersive phenomena appear in physical situations, where some energy is conserved, and are naturally related to Hamiltonian systems. This semester proposes to explore this link further by bringing together experimentalists, scientists, computational scientists and mathematicians with a common interest in exploring the various aspects of dispersive equations, from their analysis to their applications, and developing tools to facilitate experimentation. One key focus will be on global approaches, either in the sense of analyzing the overall landscape of the phase space, or in the study of generic solutions (e.g. of properties “almost surely true” in an appropriate sense). Another key focus will be experimental, in the sense of developing and analyzing instructive toy-models, implementing numerical experiments, and in some cases, simply of looking at interesting special cases.
The main events will be centered around three workshops
- one workshop on numerics, modeling and experiments in wave phenomena
- one workshop on generic behavior of dispersive solutions and wave turbulence
- one workshop on Hamiltonian methods and asymptotic dynamics
Confirmed Speakers & Participants
- Poster Presenter
Sorbonne UniversitéSep 8-Dec 10, 2021
National University of SingaporeSep 8-Dec 10, 2021
ENSSep 8-Dec 10, 2021
INRIA RennesSep 8-Dec 10, 2021
Paris-Sud University, OrsaySep 15-Nov 15, 2021
University of NantesSep 8-Dec 11, 2021
Université d'OrléansSep 8-Dec 10, 2021
University of MichiganSep 8-Dec 10, 2021
University of Massachusetts AmherstSep 8-Dec 10, 2021
University of Massachusetts AmherstSep 8-Dec 10, 2021
Research Institute for Mathematical Sciences, Kyoto UniversitySep 8-Dec 10, 2021
Brown UniversitySep 8-Dec 10, 2021
University of Texas at AustinSep 8-Dec 10, 2021
University of TorontoSep 8-Dec 10, 2021
Département de Mathématiques d’OrsayOct 15-Nov 15, 2021
Heriot-Watt UniversitySep 8-Dec 10, 2021
Visit dates listed on the participant list may be tentative and subject to change without notice.
ICERM welcomes applications from faculty, postdocs, graduate students, industry scientists, and other researchers who wish to participate in one of our semester-long programs. Some funding may be available for travel and lodging. Applications will be accepted up until the start of the semester program and will be considered as long as funds and space are available.
Any graduate student who applies should have research interests that relate to the program topic; a statement of support from the advisor is required. In addition, graduate students will only be considered if they can remain in-residence for a minimum of six weeks.
Interested in applying for a salaried postdoc position for this program? Applications are accepted via Mathjobs.org (search under “B” for Brown University/ICERM) between June and December in the year prior to the program’s start date.
Your Visit to ICERM
- ICERM Facilities
- ICERM is located on the 10th & 11th floors of 121 South Main Street in Providence, Rhode Island. ICERM's business hours are 8:30am - 5:00pm during this event. See our facilities page for more info about ICERM and Brown's available facilities.
- Traveling to ICERM
- ICERM is located at Brown University in Providence, Rhode Island. Providence's T.F. Green Airport (15 minutes south) and Boston's Logan Airport (1 hour north) are the closest airports. Providence is also on Amtrak's Northeast Corridor. In-depth directions and transportation information are available on our travel page.
- Visiting ICERM for longer than a week-long workshop? ICERM staff works with participants to locate accommodations that fit their needs. Since short-term furnished housing is in very high demand, take advantage of the housing options ICERM may recommend. Contact email@example.com for more details.
- Those traveling with family who are interested in information about childcare and/or schools should contact firstname.lastname@example.org.
- Technology Resources
- Wireless internet access and wireless printing is available for all ICERM visitors. Eduroam is available for members of participating institutions. Thin clients in all offices and common areas provide open access to a web browser, SSH terminal, and printing capability. See our Technology Resources page for setup instructions and to learn about all available technology.
- Discrimination and Harassment Policy
- ICERM is committed to creating a safe, professional, and welcoming environment that benefits from the diversity and experiences of all its participants. Both the Brown University "Code of Conduct" and the "Discrimination and Workplace Harassment Policy" apply to all ICERM participants and staff. Participants with concerns or requests for assistance on a discrimination or harassment issue should contact the ICERM Director or Assistant Director; they are the responsible employees at ICERM under this policy.
- Exploring Providence
- Providence's world-renowned culinary scene provides ample options for lunch and dinner. Neighborhoods near campus, including College Hill Historic District, have many local attractions. Check out the map on our Explore Providence page to see what's near ICERM.
Contact email@example.com for assistance.
- Need a US Visa?
- J-1 visa requested via ICERM staff
- Eligible to be reimbursed
- B-1 or Visa Waiver Business (WB) –if you already have either visa – contact ICERM staff for a visa specific invitation letter.
- Ineligible to be reimbursed
- B-2 or Visa Waiver Tourist (WT)
- Already in the US?
F-1 and J-1 not sponsored by ICERM: obtain a letter approving reimbursement from the International Office of your home institution PRIOR to travel.
H-1B holders do not need letter of approval.
All other visas: alert ICERM staff immediately about your situation.
ICERM does not reimburse visa fees. This chart is to inform visitors whether the visa they enter the US on allows them to receive reimbursement for the items outlined in their invitation letter.
- ORCID iD
- As this program is funded by the National Science Foundation (NSF), ICERM is required to collect your ORCID iD if you are receiving funding to attend this program. Be sure to add your ORCID iD to your Cube profile as soon as possible to avoid delaying your reimbursement.
- Acceptable Costs
- 1 roundtrip between your home institute and ICERM
- Flights on U.S. or E.U. airlines – economy class to either Providence airport (PVD) or Boston airport (BOS)
- Ground Transportation to and from airports and ICERM.
- Unacceptable Costs
- Flights on non-U.S. or non-E.U. airlines
- Flights on U.K. airlines
- Seats in economy plus, business class, or first class
- Change ticket fees of any kind
- Multi-use bus passes
- Meals or incidentals
- Advance Approval Required
- Personal car travel to ICERM from outside New England
- Multiple-destination plane ticket; does not include layovers to reach ICERM
- Arriving or departing from ICERM more than a day before or day after the program
- Multiple trips to ICERM
- Rental car to/from ICERM
- Flights on a Swiss, Japanese, or Australian airlines
- Arriving or departing from airport other than PVD/BOS or home institution's local airport
- 2 one-way plane tickets to create a roundtrip (often purchased from Expedia, Orbitz, etc.)
- Reimbursement Request Form
Refer to the back of your ID badge for more information. Checklists are available at the front desk.
- Reimbursement Tips
- Scanned original receipts are required for all expenses
- Airfare receipt must show full itinerary and payment
- ICERM does not offer per diem or meal reimbursement
- Allowable mileage is reimbursed at prevailing IRS Business Rate and trip documented via pdf of Google Maps result
- Keep all documentation until you receive your reimbursement!
- Reimbursement Timing
6 - 8 weeks after all documentation is sent to ICERM. All reimbursement requests are reviewed by numerous central offices at Brown who may request additional documentation.
- Reimbursement Deadline
Submissions must be received within 30 days of ICERM departure to avoid applicable taxes. Submissions after thirty days will incur applicable taxes. No submissions are accepted more than six months after the program end.