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Workshop

Commutative Algebra: Interactions with Homological Algebra and Representation Theory February 03, 2003 - February 07, 2003
Registration Deadline: February 07, 2003 over 16 years ago
To apply for Funding you must register by: November 03, 2002 almost 17 years ago
Parent Program:
Organizers Luchezar Avramov (chair), Ragnar Buchweitz, and John Greenlees
Speaker(s)

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Description
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
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI123 (this code is not case sensitive).

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MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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Schedule, Notes/Handouts & Videos
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Feb 03, 2003
Monday
09:15 AM - 09:30 AM
  Welcome and Introduction
Loa Nowina-Sapinski
09:30 AM - 10:25 AM
  Homological algebra over Cohen-Macaulay rings
Craig Huneke (University of Virginia)
10:30 AM - 11:00 AM
  Morning Tea
11:00 AM - 11:55 AM
  Gorenstein duality in algebra and topology
William Dwyer (University of Notre Dame)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 02:55 PM
  Representation theory of Cohen-Macaulay rings
Roger Wiegand (University of Nebraska)
03:00 PM - 03:30 PM
  Afternoon Tea
04:10 PM - 05:10 PM
  Brave new commutative algebra reborn
John Greenlees (University of Sheffield)
Feb 04, 2003
Tuesday
09:05 AM - 10:00 AM
  Explicit calculations of Hochschild homology of commutative algebras
Jan-Erik Roos
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:25 AM
  Topological equivalences of differential graded algebras
Brooke Shipley (University of Illinois at Chicago)
11:30 AM - 02:00 PM
  Lunch
02:00 PM - 02:55 PM
  Resolutions with structure
Edward Green
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:25 PM
  Commmutative and skew-commutative algebra on hyperplane arrangements
Sergey Yuzvinsky (University of Oregon)
04:30 PM - 05:30 PM
  Reception
Feb 05, 2003
Wednesday
09:05 AM - 10:00 AM
  Local cohomology and its applications
Gennady Lyubeznik (University of Minnesota Twin Cities)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:25 AM
  Depth, detection, associated primes and isomorphisms of cohomology rings
Jon Carlson (University of Georgia)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 02:55 PM
  Applications of Steenrod technology to invariant theory
Mara Neusel
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:25 PM
  From polytopal algebras to polyhedral K-theory
Winfried Bruns (Universität Osnabrück)
Feb 06, 2003
Thursday
09:05 AM - 10:00 AM
  Almost flat extensions
Paul Roberts (University of Utah)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:25 AM
  Applications of quiver representations, I
Jerzy Weyman (Northeastern University)
11:30 AM - 12:25 PM
  Applications of quiver representations, II
Harm Derksen
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 02:55 PM
  Hereditary categories over arbitrary fields
Idun Reiten
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:25 PM
  Good modules over reductive groups and commutative algebra
Mitsuyasu Hashimoto
Feb 07, 2003
Friday
09:05 AM - 10:00 AM
  Hyperhomological algebra in commutative algebra
Hans-Bjorn Foxby
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:25 AM
  The homological complexity of the Frobenius endomorphism
Srikanth Iyengar (University of Utah)
11:30 AM - 02:00 PM
  Lunch
02:00 PM - 02:55 PM
  Three-dimensional flops and non-commutative rings
Michel Van den Bergh (Limburgs Universitair Centrum)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:25 PM
  Jumping coefficients and the uniform Artin Rees theorem
Karen Smith (University of Michigan)