May 30, 2024

Thematic Program on Geometric Applications of Homotopy Theory
January-June, 2007

Supported by:  

l Science Foundation

Ambassade de France au Canada

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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,
Gunnar Carlsson (Stanford),
Dan Christensen (Western Ontario),

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,

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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