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Workshop

Introductory Workshop: Algebraic Topology January 27, 2014 - January 31, 2014
Registration Deadline: January 27, 2014 over 5 years ago
To apply for Funding you must register by: October 27, 2013 almost 6 years ago
Parent Program:
Location: Mathematical Sciences Research Institute, Berkeley CA
Organizers Teena Gerhardt (Michigan State University), Jesper Grodal (University of Copenhagen), Kathryn Hess (École Polytechnique Fédérale de Lausanne (EPFL)), LEAD Michael Hill (University of California, Los Angeles)
Speaker(s)

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Description
Algebraic topology is a rich, vibrant field with close connections to many branches of mathematics. This workshop will describe the state of the field, focusing on major programs, open problems, exciting new tools, and cutting edge techniques. The introductory workshop serves as an overview to the overlying programmatic theme.  It aims to familiarize graduate students, postdocs, and non-experts to major and new topics of the current program.  Though the audience is expected to have a general mathematical background, knowledge of technical terminology and recent findings is not assumed.  
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 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 does not hire an outside company to make hotel reservations for our workshop participants, or share the names and email addresses of our participants with an outside party. If you are contacted by a business that claims to represent MSRI and offers to book a hotel room for you, it is likely a scam. Please do not accept their services.

MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI123 (this code is not case sensitive).

MSRI has preferred rates 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 "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

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

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Schedule, Notes/Handouts & Videos
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Jan 27, 2014
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Introduction to operads
William Dwyer (University of Notre Dame)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Goodwillie's calculus of functors
Michael Ching (Amherst College)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Morita theory in stable homotopy
Brooke Shipley (University of Illinois at Chicago)
03:00 PM - 03:20 PM
  Tea
04:10 PM - 05:00 PM
  MSRI/Evans Lecture: Topological cyclic homology (Evans Hall, UC Berkeley)
Lars Hesselholt (Nagoya University)
Jan 28, 2014
Tuesday
09:30 AM - 10:30 AM
  Chromatic redshift
John Rognes (University of Oslo)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Higher categories and algebraic K-theory
Andrew Blumberg (University of Texas, Austin)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Towards explicit models for higher K-theories
Christopher Douglas (University of Oxford)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Models for homotopical higher categories
Julie Bergner (University of Virginia)
04:30 PM - 06:20 PM
  Reception
Jan 29, 2014
Wednesday
09:00 AM - 10:00 AM
  Computations in the stable homotopy groups of spheres
Mark Behrens (Massachusetts Institute of Technology)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Computations in motivic homotopy theory
Daniel Isaksen (Wayne State University)
11:30 AM - 12:30 PM
  Views on the J-homomorphism
Craig Westerland (University of Minnesota Twin Cities)
Jan 30, 2014
Thursday
09:30 AM - 10:30 AM
  Local structure of groups and of their classifying spaces
Bob Oliver (Université de Paris XIII (Paris-Nord))
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Equivariant homotopy and localization
Michael Hopkins (Harvard University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Homotopy theory of Kac-Moody groups
Nitya Kitchloo (Johns Hopkins University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Topological automorphic forms
Tyler Lawson (University of Minnesota Twin Cities)
04:30 PM - 06:00 PM
  Problem Session
Jan 31, 2014
Friday
09:30 AM - 10:30 AM
  Representation stability and applications to homological stability
Thomas Church (Stanford University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Stability of moduli spaces of manifolds
Oscar Randal-Williams (University of Cambridge)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Stable homology of moduli spaces of manifolds
Soren Galatius (Stanford University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Loop Groups, TQFTs and algebraic geometry
Constantin Teleman (University of California, Berkeley)