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Workshop

Reimagining the Foundations of Algebraic Topology April 07, 2014 - April 11, 2014
Registration Deadline: April 10, 2014 7 months ago
To apply for Funding you must register by: January 07, 2014 10 months ago
Parent Program: Algebraic Topology
Location: Mathematical Sciences Research Institute, Berkeley CA
Organizers Vigleik Angeltveit (Australian National University), Mark Behrens (Massachusetts Institute of Technology), Julie Bergner (University of California), LEAD Andrew Blumberg (University of Texas)
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.


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 Ph.D.'s, 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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MSRI has preferred rates at the Rose Garden Inn, depending on room availability. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show the MSRI rate on all room types available.

MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code 123MSRI. Our preferred rate is $139 per night for a Deluxe Queen/King, based on availability.

MSRI has preferred rates of $149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri.

MSRI has preferred rates of $110 - $140 at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select “I am an individual traveler affiliated with MSRI”.

Additional lodging options may be found on our short term housing page.

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Schedule
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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)
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 (Georgia Institute of Technology)
Apr 08, 2014
Tuesday
09:30 AM - 10:30 AM
  The formal theory of adjunctions, monads, algebras, and descent
Emily Riehl (Harvard 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 (Universität Regensburg)
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 (Max-Planck-Institut für Mathematik)
Apr 10, 2014
Thursday
09:30 AM - 10:30 AM
  Redshift and higher categories
Clark Barwick (Massachusetts Institute of Technology)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Derived Equivariant Algebraic Geometry
Michael Hill (University of Virginia)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Duality, algebro-homotopically
Vesna Stojanoska (Massachusetts Institute of Technology)
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 (Massachusetts Institute of Technology)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Thom spectra and twisted umkehr maps
David Gepner (Purdue University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  A K(Z,4) in nature
Andre Henriques (Rijksuniversiteit te Utrecht)