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 5 months from now
To apply for Funding you must register by: September 13, 2024 about 2 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)
Speaker(s)

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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
Funding & Logistics Show All Collapse

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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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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Dec 09, 2024
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  History of the Telescope Conjecture
Douglas Ravenel (University of Rochester)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Overview
Tomer Schlank (The Hebrew University of Jerusalem)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Cyclotomic spectra
Maxine Calle (University of Pennsylvania)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Chromatically localized algebraic K-theory
Markus Land (University of Copenhagen)
Dec 10, 2024
Tuesday
09:30 AM - 10:30 AM
  Cyclotomic boundedness I
Hana Jia Kong (Zhejiang University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Boundedness of the Adams summand
Christian Ausoni (Université de Paris XIII (Paris-Nord))
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Trace methods beyond connective rings
Kathleen Ponto (University of Kentucky)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Cochains on a circle
Cary Malkiewich (Binghamton University (SUNY))
04:30 PM - 06:20 PM
  Reception
Dec 11, 2024
Wednesday
09:30 AM - 10:30 AM
  Ambidexterity and cyclotomic extensions
Allen Yuan (Northwestern University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Cyclotomic redshift
Shay Ben-Moshe (The Hebrew University of Jerusalem)
Dec 12, 2024
Thursday
09:30 AM - 10:30 AM
  Calculating TC(jz)
Irina Bobkova (Institute for Advanced Study)
10:30 AM - 10:40 AM
  Group Photo
10:40 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Asymptotic constancy I
Eva Belmont (Massachusetts Institute of Technology)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Asymptotic constancy II
Ishan Levy (University of Copenhagen)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Q & A
Robert Burklund (University of Copenhagen), Jeremy Hahn (Massachusetts Institute of Technology), Ishan Levy (University of Copenhagen), Tomer Schlank (The Hebrew University of Jerusalem)
Dec 13, 2024
Friday
09:30 AM - 10:30 AM
  Examples at low primes and large heights
Andrew Senger (Massachusetts Institute of Technology)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Assembling the disproof
Jeremy Hahn (Massachusetts Institute of Technology)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Future directions I
Lior Yanovski (The Hebrew University of Jerusalem)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Future Decisions II
Robert Burklund (University of Copenhagen)