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Workshop

Combinatorial Commutative Algebra and Applications December 03, 2012 - December 07, 2012
Registration Deadline: December 14, 2012 almost 2 years ago
To apply for Funding you must register by: September 09, 2012 about 2 years ago
Parent Program: Commutative Algebra
Organizers 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)
Speaker(s)

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Description

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"


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.

Show Lodging

MSRI has preferred rates at the Rose Garden Inn, depending on room availability. 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 the MSRI rate on all room types available.

MSRI has preferred rates 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 promo/corporate code MSRI123. Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability.

MSRI has preferred rates of $149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri.

MSRI has preferred rates of $110 - $140 at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select “I am an individual traveler affiliated with MSRI”.

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

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Schedule
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Dec 03, 2012
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  On the stable set of associated prime ideals of a monomial ideal
Juergen Herzog
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Hilbert coefficients, generalized Hilbert functions, and associated graded rings
Claudia Polini (University of Notre Dame)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Positivity of algebraic cycles and convexity of combinatorial geometries
June Huh
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Extensions of Birch\'s Theorem, with applications to dynamical systems
Anne Shiu
Dec 04, 2012
Tuesday
09:00 AM - 10:00 AM
  Toric algebra of hypergraphs
Sonja Petrovic
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  On generalized lower bound conjecture for simplicial polytopes
Satoshi Murai
11:30 AM - 12:30 PM
  Enumerations deciding the Weak Lefschetz Property
Uwe Nagel
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Derived Categories of Toric Varieties
Mateusz Michalek
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Cut ideals and their application to regular designs in statistics
Hidefumi Ohsugi
04:30 PM - 06:20 PM
  Reception
Dec 05, 2012
Wednesday
09:00 AM - 10:00 AM
  Absolutely Koszul algebras
Tim Roemer
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Duality in Boij-Soederberg Theory
Daniel Erman (University of Michigan)
11:30 AM - 12:30 PM
  Euler--Koszul homology for hypergeometric systems
Christine Berkesch
Dec 06, 2012
Thursday
09:00 AM - 10:00 AM
  The combinatorics of binomial ideals
Thomas Kahle
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Tropical geometry for computational algebra
Josephine Yu
11:30 AM - 12:30 PM
  Regularity for powers of ideals of maximal minors
Aldo Conca
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Relations Between Minors (joint with Winfried Bruns and Aldo Conca)
Matteo Varbaro
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Twenty Points in \({P}^3\)
David Eisenbud (MSRI - Mathematical Sciences Research Institute)
Dec 07, 2012
Friday
09:00 AM - 10:00 AM
  Homology of Littlewood complexes
Steven Sam (University of California, Berkeley)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Compatibly split subvarieties of the Hilbert scheme of points in the plane
Jenna Rajchgot (MSRI - Mathematical Sciences Research Institute)
11:30 AM - 12:30 PM
  Do squarefree monomial ideals satisfy the persistence property?
Adam Van Tuyl
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Sums of squares and nonnegative polynomials in multigraded rings
Gregory Smith (Queen's University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Alexander duality and total positivity: a cluster/commutative algebra connection
Ezra Miller (Duke University)