Summer School on the
Interactions between Homotopy Theory and Algebra
University of Chicago
July 26 to August 6, 2004

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See links below for contributions to the Proceedings volume.

The summer school is now over. This page now serves as a place to download related documents.

This summer school will explore connections between homotopy theory, commutative algebra and representation theory with the goal of enhancing research interactions and applications among these fields.

During the first week, July 26-30, there will be three lecture series (associated editor listed in third column):

Paul Goerss Simplicial Methods and Model Categories (revised)
Craig Huneke Local Cohomology (revised)
Henning Krause  Differential Graded Methods and Derived Categories (revised)
Exercises (revised)

During the second week, August 2-6, there will be several two or three hour expository lecture series (associated editor listed in third column):

Alejandro Adem Group cohomology (revised)
Ragnar-Olaf Buchweitz  What Arrows can Commutative Algebra pull from Quivers? (no submission)
John Greenlees First steps in brave new commutative algebra (revised)
Spectra for commutative algebraists (revised)
Kathryn Hess Rational homotopy theory (revised)
Mark Hovey Cotorsion Theories (revised)
Srikanth Iyengar Andre-Quillen homology of commutative algebras (revised)
Jack Morava Quillen's setup for cobordism (no submission)
Igor Burban* Coherent sheaves on an elliptic curve* (not a lecture) (revised)

Prepared lecture notes are available for some of the talks, where available click on the speakers' title. As mentioned at the conference, we welcome comments on these notes via email to the appropriate editor listed after the talk title. Editors: Lucho Avramov, Dan Christensen, Bill Dwyer, Mike Mandell, Brooke Shipley.

Handwritten lecture notes (or slides) have been scanned in for the talks by Adem, Buchweitz, Greenlees, Hess, Iyengar and Morava.

Photos from the talk are available at, thanks to Sean Sather-Wagstaff.


First Week:

MondayTuesdayWednesday ThursdayFriday
9:00 Coffee Coffee Coffee Coffee Coffee
9:30-10:30 Krause Huneke Krause Krause Huneke
11:00-12:00 Huneke Krause Goerss Huneke Goerss
1:30-2:30 Goerss Goerss Huneke Goerss Krause
3:00-4:30 "Office" Hours and Problem Sessions

Second Week: (with the Wednesday* schedule 9:00-10:00; 10:20-11:20; 11:40-12:40)

MondayTuesdayWednesday ThursdayFriday
9:00 Coffee Coffee Hovey* Coffee Coffee
9:30-10:30 Adem Buchweitz Hess* Hess Morava
11:00-12:00 Buchweitz Iyengar Adem* Morava Hess
2:00-3:00 Greenlees Adem free Hovey free
3:30-4:30 Iyengar Greenlees free free free

Registration/Application: Registration is now closed.

Prerequisites: Both weeks will be aimed at graduate students and beginning researchers who have some background in either homotopy theory, commutative algebra or representation theory and who would like to learn about the interactions between these fields. A majority of the topics are covered in standard courses on homology and commutative algebra. Some topics are slightly more advanced though, and students will probably find it beneficial to review this background material before the summer school.

Organizers: Lucho Avramov, Dan Christensen, Bill Dwyer, Mike Mandell, Brooke Shipley.

This summer school was supported by the National Science Foundation, Grant number 0134938.

Please send comments and corrections about the web site to Dan Christensen.

Home | Register/Update | Attendees | Prerequisites | Local Info