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Upcoming Hot Topics Workshops

  1. Hot Topics: MIP* = RE and the Connes’ Embedding Problem

    Organizers: Michael Chapman (New York University, Courant Institute), Anand Natarajan (Massachusetts Institute of Technology), William Slofstra (University of Waterloo), John Wright (University of Texas, Austin), Henry Yuen (Columbia University)

    This workshop is about the recent MIP*=RE result from quantum computational complexity, and the resulting resolution of the Connes embedding problem from the theory of von Neumann algebras. MIP*=RE connects the disparate areas of computational complexity theory, quantum information, operator algebras, and approximate representation theory. The aim of this workshop is to bridge this divide, by giving an in-depth exposition of the techniques used in the proof of MIP*=RE, and highlighting perspectives on the MIP*=RE result from operator algebras and approximate representation theory. In particular, this workshop will highlight connections with group stability, something that has not been covered in previous workshops. In addition to increasing understanding of the MIP*=RE proof, we hope that this will open up further applications of the ideas behind MIP*=RE in operator algebras.

    Updated on Jun 08, 2023 11:22 AM PDT
  2. Hot Topics: Recent Progress in Deterministic and Stochastic Fluid-Structure Interaction

    Organizers: Martina Bukač (University of Notre Dame), Suncica Canic (University of California, Berkeley), LEAD Jeffrey Kuan (University of California, Berkeley), Justin Webster (University of Maryland at Baltimore)
    Blood flow and structure displacement in an Aortic Abdominal Aneurysm

    This workshop will focus on the coupled dynamical interaction between fluids and elastic/poroelastic structures, with an emphasis on the most recent and cutting-edge mathematical advances in deterministic and stochastic fluid-structure interaction. The goal of this workshop is to bring together a diverse group of mathematicians in the fields of analysis, modeling, numerics, stochastics, and real-world applications in order to showcase an interdisciplinary approach to the study of coupled fluid-structure systems. A major component of this workshop will be to encourage active participation of early career researchers, such as graduate students and postdocs, and foster synergistic collaboration with established leaders in the field.

    Updated on Jun 06, 2023 10:55 AM PDT
  3. Hot Topics: Artin Groups and Arrangements - Topology, Geometry, and Combinatorics

    Organizers: Christin Bibby (Louisiana State University), Ruth Charney (Brandeis University), Giovanni Paolini (California Institute of Technology), Mario Salvetti (Università di Pisa)
    Affine arrangement
    The affine line arrangement of type C with different lattices and toric arrangements arising from it.

    This workshop brings together experts from different areas to discuss and foster collaboration on several topics of current interest related to Artin groups such as the K(π, 1) conjecture, hyperplane arrangements and abelian arrangements, combinatorial structures associated with dual Coxeter systems, and complexes of nonpositive curvature.

    Updated on Mar 30, 2023 04:00 PM PDT
  4. Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory

    Organizers: Dubi Kelmer (Boston College), LEAD Amir Mohammadi (University of California, San Diego), Hong Wang (University of California, Los Angeles)

    In recent years techniques from harmonic analysis viz. projection theorems have found striking applications in finitary analysis on homogenous spaces. Such quantitative results have many potential applications to analytic number theory. This workshop will bring together researchers in these areas to further explore these connections.

    Updated on May 31, 2023 02:29 PM PDT