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Combinatorial Commutative Algebra and Applications
Dec 3, 2012
to
Dec 7, 2012
Organizer(s)
Winfried Bruns (Universität Osnabrück), Alicia Dickenstein (University of Buenos Aires, Argentina), Takayuki Hibi (Osaka University), Allen Knutson* (Cornell University), and Bernd Sturmfels (University of California, Berkeley)
This workshop on Combinatorial Commutative Algebra aims to bring together researchers studying toric algebra and degenerations, simplicial objects such as monomial ideals and Stanley-Reisner rings, and their connections to tropical geometry, algebraic statistics, Hilbert schemes, D-modules, and hypergeometric functions.
Speakers:
Christine Berkesch (Duke University)
Aldo Conca (Università degli Studi di Genova)
David Eisenbud (University of California, Berkeley)
Daniel Erman (University of Michigan)
Juergen Herzog (Universität Duisburg-Essen)
June Huh (University of Michigan)
Thomas Kahle (MSRI, Berkeley)
Mateusz Michalek (Max-Planck Institute, Bonn)
Ezra Miller (Duke University)
Satoshi Murai (Yamaguchi University)
Uwe Nagel (University of Kentucky)
Hidefumi Ohsugi (Rikkyo University)
Sonja Petrovic (Penn State University)
Claudia Polini (University of Notre Dame)
Jenna Rajchgot (University of Michigan)
Tim Roemer (Universität Osnabrück)
Steven Sam (MSRI and UC Berkeley)
Anne Shiu (University of Chicago)
Greg Smith (Queen's University)
Adam Van Tuyl (Lakehead University)
Matteo Varbaro (Università degli Studi di Genova)
Josephine Yu (Georgia Tech)
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. Please mention MSRI and the workshop name when making reservations via phone, fax or e-mail. If you are making your reservations on line, please go to this link and choose your dates of stay. The cut-off date for reservations is Midnight on the day of Friday, November 2, 2012. The rate is $120 per night plus tax. MSRI has a preferred rate of $109 - $119 plus tax at the Hotel Shattuck Plaza, depending on room availability. There is no cut-off date for reservations. Guests can either call the hotel's main line at 510-845-7300 and ask for the Combinatorial Commutative Algebra and Applications rate; or go to www.hotelshattuckplaza.com and enter dates of stay at top of screen and click Book Now. Once on the reservation page, click "Preferred/Corporate Rate Accounts" and input the code "applications12"
This workshop has reached maximum capacity, and registration is now closed.
| Schedule |
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| Monday, December 03, 2012 |
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9:15AM - 9:30AM |
MSRI, Simons Auditorium |
Welcome
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9:30AM - 10:30AM |
MSRI, Simons Auditorium |
Juergen Herzog
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On the stable set of associated prime ideals of a monomial ideal
(
Abstract
)
[Video available]
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10:30AM - 11:00AM |
MSRI, Atrium |
Tea
|
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11:00AM - 12:00PM |
MSRI, Simons Auditorium |
Claudia Polini
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Hilbert coefficients, generalized Hilbert functions, and associated graded rings
(
Abstract
)
[Video available]
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12:00PM - 2:00PM |
MSRI, Atrium |
Lunch
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2:00PM - 3:00PM |
MSRI, Simons Auditorium |
June Huh
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Positivity of algebraic cycles and convexity of combinatorial geometries
(
Abstract
)
[Video available]
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3:00PM - 3:30PM |
MSRI, Atrium |
Tea
|
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3:30PM - 4:30PM |
MSRI, Simons Auditorium |
Anne Shiu
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Extensions of Birch\'s Theorem, with applications to dynamical systems
(
Abstract
)
[Video available]
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| Tuesday, December 04, 2012 |
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9:00AM - 10:00AM |
MSRI, Simons Auditorium |
Sonja Petrovic
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Toric algebra of hypergraphs
(
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 |
Satoshi Murai
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On generalized lower bound conjecture for simplicial polytopes
(
Abstract
)
[Video available]
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11:30AM - 12:30PM |
MSRI, Simons Auditorium |
Uwe Nagel
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Enumerations deciding the Weak Lefschetz Property
(
Abstract
)
[Video available]
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12:30PM - 2:00PM |
MSRI, Atrium |
Lunch
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2:00PM - 3:00PM |
MSRI, Simons Auditorium |
Mateusz Michalek
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Derived Categories of Toric Varieties
(
Abstract
)
[Video available]
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3:00PM - 3:30PM |
MSRI, Atrium |
Tea
|
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3:30PM - 4:30PM |
MSRI, Simons Auditorium |
Hidefumi Ohsugi
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Cut ideals and their application to regular designs in statistics
(
Abstract
)
[Video available]
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4:30PM - 6:20PM |
MSRI, Atrium |
Reception
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| Wednesday, December 05, 2012 |
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9:00AM - 10:00AM |
MSRI, Simons Auditorium |
Tim Roemer
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Absolutely Koszul algebras
(
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 |
Daniel Erman
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Duality in Boij-Soederberg Theory
(
Abstract
)
[Video available]
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11:30AM - 12:30PM |
MSRI, Simons Auditorium |
Christine Berkesch
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Euler--Koszul homology for hypergeometric systems
(
Abstract
)
[Video available]
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| Thursday, December 06, 2012 |
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9:00AM - 10:00AM |
MSRI, Simons Auditorium |
Thomas Kahle
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The combinatorics of binomial ideals
(
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 |
Josephine Yu
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Tropical geometry for computational algebra
(
Abstract
)
[Video available]
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11:30AM - 12:30PM |
MSRI, Simons Auditorium |
Aldo Conca
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Regularity for powers of ideals of maximal minors
(
Abstract
)
[Video available]
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12:30PM - 2:00PM |
MSRI, Atrium |
Lunch
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2:00PM - 3:00PM |
MSRI, Simons Auditorium |
Matteo Varbaro
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Relations Between Minors (joint with Winfried Bruns and Aldo Conca)
(
Abstract
)
[Video available]
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3:00PM - 3:30PM |
MSRI, Atrium |
Tea
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3:30PM - 4:30PM |
MSRI, Simons Auditorium |
David Eisenbud
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Twenty Points in \({P}^3\)
(
Abstract
)
[Video available]
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| Friday, December 07, 2012 |
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9:00AM - 10:00AM |
MSRI, Simons Auditorium |
Steven Sam
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Homology of Littlewood complexes
(
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 |
Jenna Rajchgot
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Compatibly split subvarieties of the Hilbert scheme of points in the plane
(
Abstract
)
[Video available]
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11:30AM - 12:30PM |
MSRI, Simons Auditorium |
Adam Van Tuyl
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Do squarefree monomial ideals satisfy the persistence property?
(
Abstract
)
[Video available]
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12:30PM - 2:00PM |
MSRI, Atrium |
Lunch
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2:00PM - 3:00PM |
MSRI, Simons Auditorium |
Gregory Smith
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Sums of squares and nonnegative polynomials in multigraded rings
(
Abstract
)
[Video available]
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3:00PM - 3:30PM |
MSRI, Atrium |
Tea
|
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3:30PM - 4:30PM |
MSRI, Simons Auditorium |
Ezra Miller
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Alexander duality and total positivity: a cluster/commutative algebra connection
(
Abstract
)
[Video available]
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Parent Program(s):
Commutative Algebra
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Opportunity and Affirmative Action.
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