Commutative Algebra: Interactions with Homological Algebra and Representation Theory
Feb 3, 2003
to
Feb 7, 2003
Organizer(s)
Luchezar Avramov (chair), Ragnar Buchweitz, and John Greenlees
To apply for funding, you must
register by Mon, Nov 18 2002.
Recently, commutative algebra has been developing new connections with a variety of fields, and adding new directions to some traditional links. This interdisciplinary workshop proposes to generate an active exchange of information between practitioners and consumers of commutative algebra. The subjects discussed will include invariant theory, cohomology of groups, free resolutions, rational homotopy, stable homotopy, representation theory, and derived categories.
The following have accepted invitations to speak:
W. Bruns
J. Carlson
H. Derksen
W. Dwyer
H.-B. Foxby
J. Herzog
C. Huneke
S. Iyengar
G. Lyubeznik
M. Neusel
I. Reiten
J. Rickard
P. Roberts
J.-E. Roos
B. Shipley
K. Smith
M. Van der Bergh
J. Weyman
R. Wiegand
S. Yuzvinski
Funding
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are made typically 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
| Schedule |
|---|
| Monday, February 03, 2003 |
|
9:15AM - 9:30AM |
Loa Nowina-Sapinski
|
Welcome and Introduction
|
|
9:30AM - 10:25AM |
Craig Huneke
|
Homological algebra over Cohen-Macaulay rings
[Video available]
|
|
10:30AM - 11:00AM |
Marsha Borg
|
Morning Tea
|
|
11:00AM - 11:55AM |
William Dwyer
|
Gorenstein duality in algebra and topology
[Video available]
|
|
12:00PM - 2:00PM |
Marsha Borg
|
Lunch
|
|
2:00PM - 2:55PM |
Roger Wiegand
|
Representation theory of Cohen-Macaulay rings
[Video available]
|
|
3:00PM - 3:30PM |
Marsha Borg
|
Afternoon Tea
|
|
4:10PM - 5:10PM |
John Greenlees
|
Brave new commutative algebra reborn
[Video available]
|
| Tuesday, February 04, 2003 |
|
9:05AM - 10:00AM |
Jan-Erik Roos
|
Explicit calculations of Hochschild homology of commutative algebras
[Video available]
|
|
10:00AM - 10:30AM |
Marsha Borg
|
Morning Tea
|
|
10:30AM - 11:25AM |
Brooke Shipley
|
Topological equivalences of differential graded algebras
[Video available]
|
|
11:30AM - 2:00PM |
Marsha Borg
|
Lunch
|
|
2:00PM - 2:55PM |
Edward Green
|
Resolutions with structure
[Video available]
|
|
3:00PM - 3:30PM |
Marsha Borg
|
Afternoon Tea
|
|
3:30PM - 4:25PM |
Sergey Yuzvinsky
|
Commmutative and skew-commutative algebra on hyperplane arrangements
[Video available]
|
|
4:30PM - 5:30PM |
Marsha Borg
|
Reception
|
| Wednesday, February 05, 2003 |
|
9:05AM - 10:00AM |
Gennady Lyubeznik
|
Local cohomology and its applications
[Video available]
|
|
10:00AM - 10:30AM |
Marsha Borg
|
Morning Tea
|
|
10:30AM - 11:25AM |
Jon Carlson
|
Depth, detection, associated primes and isomorphisms of cohomology rings
[Video available]
|
|
12:30PM - 2:00PM |
Marsha Borg
|
Lunch
|
|
2:00PM - 2:55PM |
Mara Neusel
|
Applications of Steenrod technology to invariant theory
[Video available]
|
|
3:00PM - 3:30PM |
Marsha Borg
|
Afternoon Tea
|
|
3:30PM - 4:25PM |
Winfried Bruns
|
From polytopal algebras to polyhedral K-theory
[Video available]
|
| Thursday, February 06, 2003 |
|
9:05AM - 10:00AM |
Paul Roberts
|
Almost flat extensions
[Video available]
|
|
10:00AM - 10:30AM |
Marsha Borg
|
Morning Tea
|
|
10:30AM - 11:25AM |
Jerzy Weyman
|
Applications of quiver representations, I
[Video available]
|
|
11:30AM - 12:25PM |
Harm Derksen
|
Applications of quiver representations, II
[Video available]
|
|
12:30PM - 2:00PM |
Marsha Borg
|
Lunch
|
|
2:00PM - 2:55PM |
Idun Reiten
|
Hereditary categories over arbitrary fields
|
|
3:00PM - 3:30PM |
Marsha Borg
|
Afternoon Tea
|
|
3:30PM - 4:25PM |
Mitsuyasu Hashimoto
|
Good modules over reductive groups and commutative algebra
[Video available]
|
| Friday, February 07, 2003 |
|
9:05AM - 10:00AM |
Hans-Bjorn Foxby
|
Hyperhomological algebra in commutative algebra
[Video available]
|
|
10:00AM - 10:30AM |
Marsha Borg
|
Morning Tea
|
|
10:30AM - 11:25AM |
Srikanth Iyengar
|
The homological complexity of the Frobenius endomorphism
[Video available]
|
|
11:30AM - 2:00PM |
Marsha Borg
|
Lunch
|
|
2:00PM - 2:55PM |
Michel van den Bergh
|
Three-dimensional flops and non-commutative rings
[Video available]
|
|
3:00PM - 3:30PM |
Marsha Borg
|
Afternoon Tea
|
|
3:30PM - 4:25PM |
Karen Smith
|
Jumping coefficients and the uniform Artin Rees theorem
[Video available]
|
Parent Program(s):
Commutative Algebra
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