Home /  Hot Topics: Life after the Telescope Conjecture

Workshop

Hot Topics: Life after the Telescope Conjecture December 09, 2024 - December 13, 2024
Registration Deadline: December 13, 2024 8 months from now
To apply for Funding you must register by: September 13, 2024 5 months from now
Parent Program: --
Series: Hot Topic, Hot Topic
Location: SLMath: Eisenbud Auditorium, Atrium, Online/Virtual
Organizers LEAD Agnes Beaudry (University of Colorado), Michael Hill (University of California, Los Angeles), Vesna Stojanoska (University of Illinois at Urbana-Champaign)
Description
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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.
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • Chromatic homotopy

  • algebraic K-theory

  • telescope conjecture

  • truncated Brown Peterson spectra

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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