Home /  [Moved Online] (∞, n)-categories, factorization homology, and algebraic K-theory

Workshop

[Moved Online] (∞, n)-categories, factorization homology, and algebraic K-theory March 23, 2020 - March 27, 2020
Registration Deadline: April 28, 2020 about 4 years ago
To apply for Funding you must register by: January 01, 2020 over 4 years ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers LEAD Clark Barwick (University of Edinburgh), David Gepner (University of Melbourne), David Nadler (University of California, Berkeley), Marcy Robertson (University of Melbourne)
Speaker(s)

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Description
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The link to this online workshop is: https://msri.zoom.us/j/999860976 This workshop will focus on recent developments in factorization homology, parametrized homotopy theory, and algebraic K-theory.  These seemingly disparate topics are unified by a common methodology, which leverages universal properties and unforeseen descent by way of higher category theory. Furthermore, they enjoy powerful and complementary roles in application to the cyclotomic trace.  This workshop will be a venue for experts in these areas to present new results, make substantive connections across fields, and suggest and contextualize outstanding questions and problems.  It will consist of 4 two-part lecture series and 10 one-hour talks. The lecture series will be given by Thomas Nikolaus, Akhil Mathew, David Ben-Zvi and a split Martina Rovelli and Viktoriya Ozornova.
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • Factorization homology

  • operads

  • algebraic K-theory

  • stratification

  • equivariant homotopy theory

  • higher category theory

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
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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Mar 23, 2020
Monday
10:45 AM - 11:00 AM
  Welcome
11:00 AM - 12:00 PM
  Excision and algebraic K-theory
Markus Land (University of Copenhagen)
12:00 PM - 02:00 PM
  Break
02:00 PM - 03:00 PM
  Twisted topological Hochschild homology of equivariant spectra
Teena Gerhardt (Michigan State University)
03:00 PM - 03:30 PM
  Break
03:30 PM - 04:30 PM
  The Beilinson fiber square
Benjamin Antieau (Northwestern University)
Mar 24, 2020
Tuesday
11:00 AM - 12:00 PM
  p-adic K-theory and topological cyclic homology
Akhil Mathew (University of Chicago)
12:00 PM - 02:00 PM
  Break
02:00 PM - 03:00 PM
  Equivariant A-theory & stable h-cobordism spaces
Mona Merling (University of Pennsylvania)
03:00 PM - 03:30 PM
  Break
03:30 PM - 04:30 PM
  Relative Geometric Langlands Duality - I
David Ben-Zvi (University of Texas, Austin)
Mar 25, 2020
Wednesday
09:30 AM - 10:30 AM
  How to zest your modular categories
Julia Plavnik (Indiana University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  The motivic filtration on topological cyclic homology
Akhil Mathew (University of Chicago)
Mar 26, 2020
Thursday
09:30 AM - 10:30 AM
  Secondary algebraic K-theory and traces
Aaron Mazel-Gee (California Institute of Technology)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Embedding 2-categories into (\infty,2)-categories
Martina Rovelli (University of Massachusetts Amherst; Australian National University)
12:00 PM - 03:30 PM
  Break
03:30 PM - 04:30 PM
  Relative Geometric Langlands Duality - II
David Ben-Zvi (University of Texas, Austin)
Mar 27, 2020
Friday
09:30 AM - 10:30 AM
  Embedding 2-categories into (\infty,2)-categories
Viktoriya Ozornova (Max-Planck-Institut für Mathematik)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  The universal property of bispans
Rune Haugseng (Norwegian University of Science and Technology (NTNU))
12:00 PM - 02:00 PM
  Break
02:00 PM - 03:00 PM
  Microlocal sheaf categories and the J-homomorphism
Xin Jin (Boston College)
03:00 PM - 03:30 PM
  Break
03:30 PM - 04:30 PM
  The paracyclic geometry of Fukaya categories
Hiro Tanaka (Texas State University)