# Mathematical Sciences Research Institute

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# Workshop

Introductory Workshop: Algebraic Topology January 27, 2014 - January 31, 2014
 Registration Deadline: January 27, 2014 over 2 years ago October 27, 2013 over 2 years ago
Parent Program: Algebraic Topology 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 Virginia)
Speaker(s)

## Show List of Speakers

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.

Funding & Logistics

## Show Funding

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.

## Show Lodging

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 MSRI123. Our preferred rate is $129 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.

## Show Visa/Immigration

Schedule
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 (University of Massachusetts, Amherst) 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) 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 California, Riverside) 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 (UC Berkeley Math Faculty)
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