There will be a two-week summer school on “Interactions between Homotopy Theory and Algebra” at the University of Chicago, July 26 through August 6, 2004.
The 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.
Introductory lecture series in the first week:
- Paul Goerss: Simplicial methods and model categories
- Craig Huneke: Local cohomology
- Henning Krause: Differential graded methods and derived categories
In the second week there will be expository lectures on related research topics. Speakers confirmed so far:
- Alejandro Adem: Group cohomology
- Ragnar-Olaf Buchweitz: What Arrows can Commutative Algebra pull from Quivers?
- John Greenlees: First steps in brave new commutative algebra
- Kathryn Hess: Rational homotopy theory
- Mark Hovey: TBA
- Srikanth Iyengar: Andre-Quillen homology
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 list of prerequisites is on the web page; a majority of these topics are covered in standard courses on homology and commutative algebra. Some of these topics are slightly more advanced though, and students will probably find it beneficial to brush up on some of these topics.
Organizers: Lucho Avramov, Dan Christensen, Bill Dwyer and Brooke Shipley
As more information becomes available it will be posted on the web site for the summer school.