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Upcoming Hot Topics Workshops

  1. Hot Topics: Artin Groups and Arrangements - Topology, Geometry, and Combinatorics

    Organizers: Christin Bibby (Louisiana State University), Ruth Charney (Brandeis University), Giovanni Paolini (Università di Bologna), 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 Jan 15, 2024 08:25 AM PST
  2. Hot Topics: Life after the Telescope Conjecture

    Organizers: LEAD Agnes Beaudry (University of Colorado), Michael Hill (University of California, Los Angeles), Vesna Stojanoska (University of Illinois at Urbana-Champaign)

    In June 2023, Burklund, Hahn, Levy, and Schlank surprised the homotopy theory community when they announced a disproof of Ravenel's Telescope Conjecture, a fundamental problem of homotopy theory which had been open for 40 years and was believed to be out of reach. The disproof of the Telescope Conjecture combines some of the most exciting recent developments in homotopy theory. This includes fundamental work on red-shift phenomena and descent in algebraic K-theory, trace methods based on a novel approach to topological Hochschild and cyclic homology, ambidexterity in chromatic homotopy theory, and more.

    The workshop will explore this amazing body of work, culminating in its synthesis and ingenious application to disprove the Telescope Conjecture.

    Updated on Feb 20, 2024 09:06 AM PST
  3. 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 (New York University, Courant Institute)
    Image

    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 Sep 18, 2023 02:09 PM PDT