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Schedule, Notes/Handouts & Videos

Combinatorial Commutative Algebra and Applications December 03, 2012 - December 07, 2012

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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 (Institute for Advanced Study)
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 (Texas A & M University; Texas A&M University)
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 (University of Kentucky)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Derived Categories of Toric Varieties
Mateusz Michalek (Universität Konstanz)
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 (University of Minnesota)
Dec 06, 2012
Thursday
09:00 AM - 10:00 AM
  The combinatorics of binomial ideals
Thomas Kahle (Otto-von-Guericke-Universität Magdeburg)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Tropical geometry for computational algebra
Josephine Yu (Georgia Institute of Technology)
11:30 AM - 12:30 PM
  Regularity for powers of ideals of maximal minors
Aldo Conca (Università di Genova)
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 (Università di Genova)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Twenty Points in \({P}^3\)
David Eisenbud (University of California, Berkeley)
Dec 07, 2012
Friday
09:00 AM - 10:00 AM
  Homology of Littlewood complexes
Steven Sam (University of California, San Diego)
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 (McMaster University)
11:30 AM - 12:30 PM
  Do squarefree monomial ideals satisfy the persistence property?
Adam Van Tuyl (McMaster University)
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)
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