
Homotopy Theory Program
During 199596 the Fields Institute is sponsoring an emphasis year
in homotopy theory. The main period of activity for the program has
just begun and will run until the beginning of June. The organizing
committee for the program consists of: W.Dwyer (University of Notre
Dame), S.Halperin (University of Toronto), R.Kane (University of Western
Ontario), S.Kochman (York University), D.Ravenel (University of Rochester)
and P.Selick (University of Toronto).
All activities are taking place at the new permanent site of the Fields
Institute at the University of Toronto.
What follows is information concerning various aspects of the homotopy
program which will be offered after the current January stable homotopy
emphasis session ends.
 ONGOING ACTIVITIES
 weekly program colloquium
 regular research and graduate seminars
 lecture series concerning the application of homotopy theory
to other disciplines
 FebruaryApril
 Graduate Course: Classifying spaces and cohomology operations
 Graduate Course: Differential algebras, rational and mod p homotopy
theory
 FebMay: Poincare Series
of Lectures
 March 23: Ktheory meeting
 April 1922: workshop on interaction between homotopy, geometry and physics

 May 13June 7: Emphasis session in unstable homotopy theory, including two oneweek
workshops. These workshops will take place during
 May 2731 (Unstable Homotopy)
 June 37 (Rational Homotopy)
What follows are course descriptions of the graduate courses to be
offered during the JanuaryApril 1996. Each course will meet once a
week, either on a Wednesday afternoon or a Thursday morning, for approximately
12 weeks.
 Classifying
Spaces and Cohomology Operations
 Instructor: Richard Kane
 Schedule: 10:3012:30, Wednesdays; January 24  April 17, 1996
Course will focus on the use of invariant theory in understanding
the cohomology of classifying spaces: invariant theory and pseudo
reflection groups, mod p polynomial cohomology algebras, the Lannes
T functor, homotopy fixed point theory, DwyerWilkerson study of p
compact groups, homotopy colimit decompositions of classifying spaces
 Differential
Algebras, Rational and Mod p Homotopy Theory
 Instructor: Steve Halperin
 Schedule: 1012 am, Thursdays; January 25  April 18, 1996
Differential graded algebras and modules over a DGA,semifree resolutions,
chain algebras for loop spaces and their AdamsHilton models, cochain
algebras for spaces and their T(V)models, commutative cochain algebras
and their Sullivan models, the model of a finite complex, LusternikSchnirelmann
category of spaces and models, application to the homology algebra
of a loop space of a finite complex
 Emphasis Session in Stable Homotopy Theory
 Organizer: Stan Kochman
 Dates: January 226, 1996
The major activity is a workshop during the week of January 1519.
A number of expositional lecture series and seminars during the other
weeks are also taking place.
 Algebraic KTheory conference
 Organizer: Rick Jardine
 Dates: March 23, 1996
This conference is the second annual Great Lakes Ktheory conference.
Besides the 2 day weekend conference, there will also be additional
expositional lectures on the days before and/or after the conference.
 Workshop
in Homotopy, Geometry and Physics
 Organizers: Jacques Hurtubise and Richard Kane
 Dates: April 1922, 1996
This conference will focus on the use of homotopy theory in understanding
problems related to geometry and physics
 Emphasis Session in Unstable
Homotopy
 Organizers: Steve Halperin, Richard Kane, Paul Selick
 Dates: May 13  June 7, 1996
The major activities will be workshops in unstable homotopy theory
during the week of May 2731 and in rational homotopy theory during
the week of June 37. A number of expositional lectures and seminars
will take place in the weeks preceeding these workshops.

