Home /  Representation Theory, Homological Algebra, and Free Resolutions

Workshop

Representation Theory, Homological Algebra, and Free Resolutions February 11, 2013 - February 17, 2013
Registration Deadline: February 11, 2013 over 11 years ago
To apply for Funding you must register by: October 15, 2012 almost 12 years ago
Parent Program:
Organizers Luchezar Avramov (University of Nebraska), David Eisenbud (University of California, Berkeley), and Irena Peeva* (Cornell University)
Speaker(s)

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Description
The workshop will focus  on recent breakthroughs in understanding and applications of free resolutions and on interactions of commutative algebra and representation theory, where algebraic geometry often appears as a third player.  A specific goal is to  stimulate further interaction between these fields. Accommodation:A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available. A block of rooms has been reserved at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate.  If you are making your reservations on line, please go to this link and enter the discount code MSRI123.  Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability.
Keywords and Mathematics Subject Classification (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 PhDs, 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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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Feb 11, 2013
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Ideals and algebras generated by quadratic and cubic forms in polynomial rings
Melvin Hochster (University of Michigan)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  t-structures and cotilting modules over commutative noetherian rings
Lidia Angeleri Huegel
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Maximal Cohen-Macaulay modules and generalised cluster categories
Idun Reiten
03:00 PM - 03:30 PM
  Tea
04:10 PM - 05:00 PM
  MSRI/Evans Lecture: Multiplicities of graded families of ideals
Steven Cutkosky (University of Missouri)
Feb 12, 2013
Tuesday
09:30 AM - 10:30 AM
  The derived category of a complete intersection ring
Srikanth Iyengar (University of Utah)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Lefschetz theorems for dg-categories with applications to matrix factorizations
Alexander Polishchuk (University of Oregon)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  The bicategory of Landau-Ginzburg models
Daniel Murfet (University of Melbourne)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Group actions on rings and the Cech complex
Peter Symonds (University of Manchester)
Feb 13, 2013
Wednesday
09:30 AM - 10:30 AM
  Graded Maximal Cohen-Macaulay Modules over Elliptic Curves
Ragnar-Olaf Buchweitz (University of Toronto)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Higher Segal Spaces
Tobias Dyckerhoff (Universität Hamburg)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  The representation type of a projective variety
Rosa M. Miró-Roig (University of Barcelona)
02:30 PM - 03:00 PM
  Tea
03:00 PM - 03:20 PM
  Associated primes of local cohomology of flat extensions with regular fibers
Luis Nunez (University of Michigan)
03:00 PM - 03:20 PM
  Variation of the first Hilbert coefficients
Laura Ghezzi
03:00 PM - 03:20 PM
  Periodicity of \(d\)-cluster tilted algebras
Alex Dugas (University of the Pacific)
03:30 PM - 03:50 PM
  Depth and Dimension for High Syzygies
Kristen Beck
03:30 PM - 03:50 PM
  Representations with finitely many orbits and free resolutions
Federico Galetto (Cleveland State University)
03:30 PM - 03:50 PM
  Graded matrix factorizations and complete intersections
Jesse Burke
04:00 PM - 04:20 PM
  Lech's Inequality
Javid Validashti (DePaul University)
04:00 PM - 04:20 PM
  Grothendieck duality and complete intersections
Gregory Stevenson (Aarhus University)
04:00 PM - 04:20 PM
  Lower Bounds for the Depth of Powers of Edge Ideals
Louiza Fouli (New Mexico State University)
04:30 PM - 06:20 PM
  Reception
Feb 14, 2013
Thursday
09:00 AM - 10:00 AM
  Modules for elementary abelian p-groups and hypersurface singularities
David Benson (University of Aberdeen)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Cohen-Macaulay cones and subcategories
Hailong Dao (University of Kansas)
11:30 AM - 12:30 PM
  Asymptotic syzygies of algebraic varieties
Robert Lazarsfeld (State University of New York, Stony Brook)
Feb 15, 2013
Friday
09:30 AM - 10:30 AM
  Syzygies of torsion bundles and the geometry of the level l modular variety over \(M_g\)
Gavril Farkas (Humboldt-Universität)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Cluster tilting for Cohen-Macaulay modules
Osamu Iyama
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  Bounds on the Projective Dimension and Regularity of Ideals
Jason McCullough (Iowa State University)
02:30 PM - 03:00 PM
  Tea
03:00 PM - 03:20 PM
  On a conjecture of Huneke and R. Wiegand
Olgur Celikbas
03:00 PM - 03:20 PM
  Local rings of embedding codepth 3. Examples
Oana Veliche (Northeastern University)
03:00 PM - 03:20 PM
  Hypergraphs and Regularity of Square-Free Monomial Ideals
Kuei-Nuan Lin (Pennsylvania State University)
03:30 PM - 03:50 PM
  Nilpotent commutator of a nilpotent matrix
Leila Khatami
03:30 PM - 03:50 PM
  Asymptotic Schur Decomposition of Veronese Syzygy Functors
Xin Zhou
03:30 PM - 03:50 PM
  Tate cohomology relation for finite dimensional Hopf algebras with an application to group algebras
Van Nguyen (United States Naval Academy)
04:00 PM - 04:20 PM
  Divisors on graphs, Connected flags, and Syzygies
Fatemeh Mohammadi (University of Bristol)
04:00 PM - 04:20 PM
  Balanced vertex decomposable simplicial complexes and their h-vectors
Jennifer Biermann (Hobart and William Smith Colleges)
04:00 PM - 04:20 PM
  Contracting endomorphisms and dualizing complexes
Saeed Nasseh (Georgia Southern University)
04:30 PM - 04:50 PM
  Artinian level algebras of low socle degree
Alessandro De Stefani (Università di Genova)
04:30 PM - 04:50 PM
  Resolutions of orbit closures of quiver representations
Kavita Sutar
04:30 PM - 04:50 PM
  Revisiting Auslander's 1962 ICM Address
Frank Moore (Wake Forest University)
Feb 16, 2013
Saturday
09:00 AM - 10:00 AM
  Socles, quasi-socles, and integral dependence
Bernd Ulrich (Purdue University)
10:00 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Equations and syzygies via representation theory and combinatorics
Claudiu Raicu (University of Notre Dame)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  Duality Phenomena for Koszul Homology
Claudia Miller (Syracuse University)
02:30 PM - 03:30 PM
  Break
03:30 PM - 04:30 PM
  Koszul, Ringel, and Serre duality for strict polynomial functors
Henning Krause (Universität Bielefeld)
Feb 17, 2013
Sunday
09:00 AM - 10:00 AM
  Some results on the Lex-Plus-Power conjecture
Giulio Caviglia
10:00 AM - 10:15 AM
  Break
10:15 AM - 11:15 AM
  Powers of graded ideals
Marc Chardin (Institut de Mathématiques de Jussieu)
11:15 AM - 11:30 AM
  Break
11:30 AM - 12:30 PM
  Ordinary and symbolic powers are Golod
Juergen Herzog