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Representation Theory, Homological Algebra, and Free Resolutions
Feb 11, 2013
to
Feb 17, 2013
Organizer(s)
Luchezar Avramov (University of Nebraska), David Eisenbud (University of California, Berkeley), and Irena Peeva* (Cornell University)
To apply for funding, you must
register by Mon, Oct 15 2012.
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.
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 |
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| Monday, February 11, 2013 |
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9:15AM - 9:30AM |
MSRI, Simons Auditorium |
Welcome
|
|
9:30AM - 10:30AM |
MSRI, Simons Auditorium |
Melvin Hochster
|
Ideals and algebras generated by quadratic and cubic forms in polynomial rings
(
Abstract
)
[Video available]
|
|
10:30AM - 11:00AM |
MSRI, Atrium |
Tea
|
|
11:00AM - 12:00PM |
MSRI, Simons Auditorium |
Lidia Angeleri Huegel
|
t-structures and cotilting modules over commutative noetherian rings
(
Abstract
)
[Video available]
|
|
12:00PM - 2:00PM |
MSRI, Atrium |
Lunch
|
|
2:00PM - 3:00PM |
MSRI, Simons Auditorium |
Idun Reiten
|
Maximal Cohen-Macaulay modules and generalised cluster categories
(
Abstract
)
[Video available]
|
|
3:00PM - 3:30PM |
MSRI, Atrium |
Tea
|
|
4:10PM - 5:00PM |
UC Berkeley, 60 Evans |
Steven Cutkosky
|
MSRI/Evans Lecture: Multiplicities of graded families of ideals
(
Abstract
)
|
| Tuesday, February 12, 2013 |
|
9:30AM - 10:30AM |
MSRI, Simons Auditorium |
Srikanth Iyengar
|
The derived category of a complete intersection ring
(
Abstract
)
[Video available]
|
|
10:30AM - 11:00AM |
MSRI, Atrium |
Tea
|
|
11:00AM - 12:00PM |
MSRI, Simons Auditorium |
Alexander Polishchuk
|
Lefschetz theorems for dg-categories with applications to matrix factorizations
(
Abstract
)
[Video available]
|
|
12:00PM - 2:00PM |
MSRI, Atrium |
Lunch
|
|
2:00PM - 3:00PM |
MSRI, Simons Auditorium |
Daniel Murfet
|
The bicategory of Landau-Ginzburg models
(
Abstract
)
[Video available]
|
|
3:00PM - 3:30PM |
MSRI, Atrium |
Tea
|
|
3:30PM - 4:30PM |
MSRI, Simons Auditorium |
Peter Symonds
|
Group actions on rings and the Cech complex
(
Abstract
)
[Video available]
|
| Wednesday, February 13, 2013 |
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9:30AM - 10:30AM |
MSRI, Simons Auditorium |
Ragnar-Olaf Buchweitz
|
Graded Maximal Cohen-Macaulay Modules over Elliptic Curves
(
Abstract
)
[Video available]
|
|
10:30AM - 11:00AM |
MSRI, Atrium |
Tea
|
|
11:00AM - 12:00PM |
MSRI, Simons Auditorium |
Tobias Dyckerhoff
|
Higher Segal Spaces
(
Abstract
)
[Video available]
|
|
12:00PM - 1:30PM |
MSRI, Atrium |
Lunch
|
|
1:30PM - 2:30PM |
MSRI, Simons Auditorium |
Rosa M. Miró-Roig
|
The representation type of a projective variety
(
Abstract
)
[Video available]
|
|
2:30PM - 3:00PM |
MSRI, Atrium |
Tea
|
|
3:00PM - 3:20PM |
MSRI, Simons Auditorium |
Alexander Dugas
|
Periodicity of \(d\)-cluster tilted algebras
(
Abstract
)
|
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3:00PM - 3:20PM |
MSRI, Commons |
Laura Ghezzi
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Variation of the first Hilbert coefficients
(
Abstract
)
|
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3:00PM - 3:20PM |
MSRI, Baker Board Room |
Luis Nunez
|
Associated primes of local cohomology of fl at extensions with regular fibers
(
Abstract
)
|
|
3:30PM - 3:50PM |
MSRI, Baker Board Room |
Kristen Beck
|
Depth and Dimension for High Syzygies
(
Abstract
)
|
|
3:30PM - 3:50PM |
MSRI, Simons Auditorium |
Jesse Burke
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Graded matrix factorizations and complete intersections
(
Abstract
)
|
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3:30PM - 3:50PM |
MSRI, Commons |
Federico Galetto
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Representations with finitely many orbits and free resolutions
(
Abstract
)
|
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4:00PM - 4:20PM |
MSRI, Simons Auditorium |
Gregory Stevenson
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Grothendieck duality and complete intersections
(
Abstract
)
|
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4:00PM - 4:20PM |
MSRI, Commons |
Louiza Fouli
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Lower Bounds for the Depth of Powers of Edge Ideals
(
Abstract
)
|
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4:00PM - 4:20PM |
MSRI, Baker Board Room |
Javid Validashti
|
Lech's Inequality
(
Abstract
)
|
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4:30PM - 6:20PM |
MSRI, Atrium |
Reception
|
| Thursday, February 14, 2013 |
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9:00AM - 10:00AM |
MSRI, Simons Auditorium |
Dave Benson
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Modules for elementary abelian p-groups and hypersurface singularities
(
Abstract
)
[Video available]
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10:00AM - 10:30AM |
MSRI, Atrium |
Tea
|
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10:30AM - 11:30AM |
MSRI, Simons Auditorium |
Hailong Dao
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Cohen-Macaulay cones and subcategories
(
Abstract
)
[Video available]
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11:30AM - 12:30PM |
MSRI, Simons Auditorium |
Robert Lazarsfeld
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Asymptotic syzygies of algebraic varieties
(
Abstract
)
[Video available]
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| Friday, February 15, 2013 |
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9:30AM - 10:30AM |
MSRI, Simons Auditorium |
Gavril Farkas
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Syzygies of torsion bundles and the geometry of the level l modular variety over \(M_g\)
(
Abstract
)
[Video available]
|
|
10:30AM - 11:00AM |
MSRI, Atrium |
Tea
|
|
11:00AM - 12:00PM |
MSRI, Simons Auditorium |
Osamu Iyama
|
Cluster tilting for Cohen-Macaulay modules
(
Abstract
)
[Video available]
|
|
12:00PM - 1:30PM |
MSRI, Atrium |
Lunch
|
|
1:30PM - 2:30PM |
MSRI, Simons Auditorium |
Jason McCullough
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Bounds on the Projective Dimension and Regularity of Ideals
(
Abstract
)
[Video available]
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|
2:30PM - 3:00PM |
MSRI, Atrium |
Tea
|
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3:00PM - 3:20PM |
MSRI, Baker Board Room |
Oana Veliche
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Local rings of embedding codepth 3. Examples
(
Abstract
)
|
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3:00PM - 3:20PM |
MSRI, Simons Auditorium |
Kuei-Nuan Lin
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Hypergraphs and Regularity of Square-Free Monomial Ideals
(
Abstract
)
|
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3:00PM - 3:20PM |
MSRI, Commons |
Olgur Celikbas
|
On a conjecture of Huneke and R. Wiegand
(
Abstract
)
|
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3:30PM - 3:50PM |
MSRI, Baker Board Room |
Xin Zhou
|
Asymptotic Schur Decomposition of Veronese Syzygy Functors
(
Abstract
)
|
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3:30PM - 3:50PM |
MSRI, Simons Auditorium |
Van Nguyen
|
Tate cohomology relation for finite dimensional Hopf algebras with an application to group algebras
(
Abstract
)
|
|
3:30PM - 3:50PM |
MSRI, Commons |
Leila Khatami
|
Nilpotent commutator of a nilpotent matrix
(
Abstract
)
|
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4:00PM - 4:20PM |
MSRI, Baker Board Room |
Jennifer Biermann
|
Balanced vertex decomposable simplicial complexes and their h-vectors
(
Abstract
)
|
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4:00PM - 4:20PM |
MSRI, Simons Auditorium |
Fatemeh Mohammadi
|
Divisors on graphs, Connected flags, and Syzygies
(
Abstract
)
|
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4:00PM - 4:20PM |
MSRI, Commons |
Saeed Nasseh
|
Contracting endomorphisms and dualizing complexes
(
Abstract
)
|
|
4:30PM - 4:50PM |
MSRI, Baker Board Room |
Alessandro De Stefani
|
Artinian level algebras of low socle degree
(
Abstract
)
|
|
4:30PM - 4:50PM |
MSRI, Simons Auditorium |
Frank Moore
|
Revisiting Auslander's 1962 ICM Address
(
Abstract
)
|
|
4:30PM - 4:50PM |
MSRI, Commons |
Kavita Sutar
|
Resolutions of orbit closures of quiver representations
(
Abstract
)
|
| Saturday, February 16, 2013 |
|
9:00AM - 10:00AM |
MSRI, Simons Auditorium |
Bernd Ulrich
|
Socles, quasi-socles, and integral dependence
(
Abstract
)
[Video available]
|
|
10:00AM - 11:00AM |
MSRI, Atrium |
Break
|
|
11:00AM - 12:00PM |
MSRI, Simons Auditorium |
Claudiu Raicu
|
Equations and syzygies via representation theory and combinatorics
(
Abstract
)
[Video available]
|
|
12:00PM - 1:30PM |
MSRI, Atrium |
Lunch
|
|
1:30PM - 2:30PM |
MSRI, Simons Auditorium |
Claudia Miller
|
Duality Phenomena for Koszul Homology
(
Abstract
)
[Video available]
|
|
2:30PM - 3:30PM |
MSRI, Atrium |
Break
|
|
3:30PM - 4:30PM |
MSRI, Simons Auditorium |
Henning Krause
|
Koszul, Ringel, and Serre duality for strict polynomial functors
(
Abstract
)
[Video available]
|
| Sunday, February 17, 2013 |
|
9:00AM - 10:00AM |
MSRI, Simons Auditorium |
Giulio Caviglia
|
Some results on the Lex-Plus-Power conjecture
(
Abstract
)
[Video available]
|
|
10:00AM - 10:15AM |
MSRI, Atrium |
Break
|
|
10:15AM - 11:15AM |
MSRI, Simons Auditorium |
Marc Chardin
|
Powers of graded ideals
(
Abstract
)
[Video available]
|
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11:15AM - 11:30AM |
MSRI, Atrium |
Break
|
|
11:30AM - 12:30PM |
MSRI, Simons Auditorium |
Juergen Herzog
|
Ordinary and symbolic powers are Golod
(
Abstract
)
[Video available]
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Parent Program(s):
Commutative Algebra
The Institute is committed to the principles of Equal
Opportunity and Affirmative Action.
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