# Mathematical Sciences Research Institute

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# Schedule, Notes/Handouts & Videos

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

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)
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 (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, Twin Cities)
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 (MSRI - Mathematical Sciences Research Institute)
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 (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)