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This research program will develop new applications of homotopy
theory in algebraic geometry, number theory and mathematical physics,
and will include subprograms on the homotopy theory of schemes,
stacks in geometry and topology, and higher categories and their
applications.
The overall program organizers are:
Rick Jardine (Western Ontario), Lead Organizer, jardine@uwo.ca
Gunnar Carlsson (Stanford), gunnar@math.stanford.edu
Dan Christensen (Western Ontario), jdc@uwo.ca
The subprograms, and their organizers, are the
following:
Note: All subprograms will incorporate graduate courses in addition
to the displayed five-day workshops.
Seminar up to Homotopy Held
Wednesdays at Fields
Homotopy
Seminar
Graduate
Homotopy "Workshop"
January -February Subprogram on Higher categories and their
applications
January 9-13, 2007
Workshop on Higher categories and
their applications
J. Baez (Univ. of California, Riverside), E. Cheng (Chicago),
P. May (Chicago)
Graduate Courses
- n-categories with duals and TQFT (Jan.
16-19)Instructor: Eugenia Cheng
- Project 1: Basic aspects of quasi-categories (Jan.
15-31)
- Project 2: Extension of category theory to quasi-categories
Instructor: Andre Joyal
- Simplicial presheaves (Jan. 22-29)
Instructor: J.F. Jardine
March-April Subprogram on Homotopy theory of schemes
March 19 - 23, 2007
Motives and Algebraic Cycles, A Conference
Dedicated to the Mathematical Heritage of Spencer J. Bloch
Organizers: Rob de Jeu (Amsterdam), James D. Lewis (Alberta)
Co-organized by the Clay Mathematics Institute, David Ellwood
(CMI)
March 26-30, 2007
Workshop on Homotopy theory of
schemes
E. Friedlander (Northwestern), M. Karoubi (Paris VII), M. Kolster
(McMaster)
Graduate Courses
- Hermitian K-theory (Mar. 5-14)
Instructor: Max Karoubi
- Structure and computations of A^1-homotopy sheaves, with
applications (Mar.
6-14) Instructor: Fabien Morel
May-June Subporgram on Stacks in geometry and topology
May 14-18, 2007 -
Workshop on Stacks in geometry and
topology
K. Behrend (British Columbia), P. Goerss (Northwestern), B. Toën
(Paul Sabatier, Toulouse)
May 14, 15, 17
Distinguished Lecture Series --Michael Hopkins,
Harvard
Graduate Courses
Presheaves of spectra (May1-7)
Instructor: J.F. Jardine
Derived algebraic geometry and topological modular forms
(June 11, 13, 15, 18, 20, and 22)
Instructor: Jacob Lurie
The Moduli Stack of Formal Groups and Homotopy Theory (May
24-30) Instructor: Paul Goerss
Lie n-groupoids (May 28-30)
Instructor: Ezra Getzler
Apply to the Program
All scientific events are open to the mathematical sciences community.
Visitors who are interested in office space or funding are
requested to apply by filling out the application
form. Additional support is available (pending NSF funding)
to support junior US visitors to this program.
Fields scientific programs are devoted to research in the mathematical
sciences, and enhanced graduate and post-doctoral training opportunities.
Part of the mandate of the Institute is to broaden and enlarge the
community, and to encourage the participation of women and members
of visible minority groups in our scientific programs.
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