Home /  Reimagining the Foundations of Algebraic Topology

Workshop

Reimagining the Foundations of Algebraic Topology April 07, 2014 - April 11, 2014
Registration Deadline: April 10, 2014 over 10 years ago
To apply for Funding you must register by: January 07, 2014 over 10 years ago
Parent Program:
Location: Mathematical Sciences Research Institute, Berkeley CA
Organizers Vigleik Angeltveit (Australian National University), Mark Behrens (Massachusetts Institute of Technology), Julie Bergner (University of Virginia), LEAD Andrew Blumberg (Columbia University)
Speaker(s)

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Description
Recent innovations in higher category theory have unlocked the potential to reimagine the basic tools and constructions in algebraic topology. This workshop will explore the interplay between these higher and $infty$-categorical techniques with classical algebraic topology, playing each off of the other and returning the field to conceptual, geometrical intuition.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
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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Apr 07, 2014
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Algebraic geometry of topological field theories 
David Ben-Zvi (University of Texas, Austin)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Poincaré/Koszul duality
David Ayala (Montana State University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Poincare'/Koszul duality and formal moduli
John Francis (Northwestern University)
03:00 PM - 03:30 PM
  Tea
04:10 PM - 05:00 PM
  Sullivan's conjecture and applications to arithmetic
Kirsten Wickelgren (Duke University)
Apr 08, 2014
Tuesday
09:30 AM - 10:30 AM
  The formal theory of adjunctions, monads, algebras, and descent
Emily Riehl (Johns Hopkins University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  co-Segal algebras and Deligne’s conjecture
Hugo Bacard (University of Western Ontario)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  What is an elementary higher topos?
Andre Joyal (Université du Québec à Montréal)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Modeling stable 2-types
Angelica Osorno (Reed College)
04:30 PM - 06:20 PM
  Reception
Apr 09, 2014
Wednesday
09:30 AM - 10:30 AM
  Aspects of differential cohomology
Thomas Nikolaus (Westfälische Wilhelms-Universität Münster)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  The unicity of the homotopy theory of higher categories.
Christopher Schommer-Pries (University of Notre Dame)
Apr 10, 2014
Thursday
09:30 AM - 10:30 AM
  Redshift and higher categories
Clark Barwick (University of Edinburgh)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Derived Equivariant Algebraic Geometry
Michael Hill (University of California, Los Angeles)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Duality, algebro-homotopically
Vesna Stojanoska (University of Illinois at Urbana-Champaign)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Calculations in multiplicative stable homotopy theory at height 2
Charles Rezk (University of Illinois at Urbana-Champaign)
Apr 11, 2014
Friday
09:30 AM - 10:30 AM
  En Genera
Michael Mandell (Indiana University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Motives versus noncommutative motives
Goncalo Tabuada (University of Warwick)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Thom spectra and twisted umkehr maps
David Gepner (University of Melbourne)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  A K(Z,4) in nature
Andre Henriques (University of Oxford)