• ICERM's lecture hall during an evening public lecture

    Welcome to ICERM

    The Institute for Computational and Experimental Research in Mathematics

  • ICERM's home (121 South Main Street) at night

    Welcome to ICERM

    The Institute for Computational and Experimental Research in Mathematics

  • ICERM's lecture hall

    Welcome to ICERM

    The Institute for Computational and Experimental Research in Mathematics

  • ICERM's conference room

    Welcome to ICERM

    The Institute for Computational and Experimental Research in Mathematics

This Week at ICERM

October 24, 2021

There are no events currently scheduled for October 24th.

October 25, 2021
  • 3:00 - 3:30 pm EDT
    Coffee Break
    11th Floor Collaborative Space
October 26, 2021
  • 10:00 - 11:00 am EDT
    Weak universality for the fractional \Phi_2^4 under the wave dynamics
    11th Floor Lecture Hall
    • Chenmin Sun, CY Cergy-Paris Université
    Abstract
    Parabolic \Phi^4 models, given by singular stochastic heat equation are believed to be the scaling limit for some physical relevant models. This motivated many recent results in the field of singular SPDE. In the context of dispersive equations, it is also of interest to investigate the limit of certain dispersive \Phi^4 models perturbed by higher-order potentials with correct scalings. In this talk, we consider the weak universality of the two-dimensional fractional nonlinear wave equation. For a sequence of Hamiltonians of high-degree potentials scaling to the fractional \Phi_2^4, we first establish a sufficient and almost necessary criteria for the convergence of invariant measures to the fractional \Phi_2^4. Then we prove the convergence result for the sequence of associated wave dynamics to the (renormalized) cubic wave equation. The main difficulty is that we do not have a good local Cauchy-theory for the highly supercritical nonlinearities. To prove the dynamical convergence, we rely on probabilistic ideas exploiting independence of different scales of frequencies. This is a joint work with Nikolay Tzvetkov and Weijun Xu.
  • 11:30 am - 12:30 pm EDT
    Global axisymmetric Euler flows with rotation
    11th Floor Lecture Hall
    • Klaus Widmayer, EPFL, Switzerland
    Abstract
    We discuss the construction of a class of global, dynamical solutions to the 3d Euler equations near the stationary state given by uniform "rigid body" rotation. These solutions are axisymmetric, of Sobolev regularity and have non-vanishing swirl. At the heart of this result is the dispersive effect due to rotation, which is captured in our new "method of partial symmetries". This approach is adapted to maximally exploit the symmetries of this anisotropic problem, both for the linear and nonlinear analysis, and allows to globally propagate sharp decay estimates. This is joint work with Y. Guo and B. Pausader.
  • 3:00 - 3:30 pm EDT
    Coffee Break
    11th Floor Collaborative Space
October 27, 2021
  • 9:00 - 10:00 am EDT
    Professional Development: Job Applications in Academia
    Professional Development - 11th Floor Lecture Hall
  • 3:00 - 3:30 pm EDT
    Coffee Break
    11th Floor Collaborative Space
October 28, 2021
  • 11:00 am - 12:30 pm EDT
    Post Doc/Graduate Student Seminar
    Post Doc/Graduate Student Seminar - 11th Floor Lecture Hall
  • 3:00 - 3:30 pm EDT
    Coffee Break
    11th Floor Collaborative Space
October 29, 2021
  • 3:00 - 3:30 pm EDT
    Coffee Break
    11th Floor Collaborative Space
October 30, 2021

There are no events currently scheduled for October 30th.

All event times are listed in ICERM local time in Providence, RI (Eastern Daylight Time / UTC-4).

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Upcoming Programs

Foam Evaluation
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Hamiltonian Methods and Asymptotic Dynamics
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Braids
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Research Community in Algebraic Combinatorics
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Connect with ICERM

Brown University's Impact: Research at Brown magazine
Brown's ICERM reimagines what mathematics can be

May 28, 2021 - ICERM featured in Brown University's Impact: Research at Brown magazine

Kavita Ramanan
Kavita Ramanan named a newly elected member of The American Academy of Arts & Sciences

April 21, 2021 - The American Academy of Arts & Sciences announced today that Kavita Ramanan, Brown University's Roland George Dwight Richardson University Professor of Applied Mathematics and an ICERM co-PI, was elected as a new member.

New ICERM Deputy Director, Misha Kilmer

March 31, 2021 - ICERM is pleased to announce that Misha Kilmer is joining ICERM as a Deputy Director, effective July 1, 2021.