# Mathematical Sciences Research Institute

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# Schedule

## Representation Theory, Homological Algebra, and Free Resolutions February 11, 2013 - February 17, 2013

Feb 11, 2013
Monday
 09:15 AM - 09:30 AM Welcome 09:30 AM - 10:30 AM Ideals and algebras generated by quadratic and cubic forms in polynomial rings Melvin Hochster (University of Michigan) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM t-structures and cotilting modules over commutative noetherian rings Lidia Angeleri Huegel 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Maximal Cohen-Macaulay modules and generalised cluster categories Idun Reiten 03:00 PM - 03:30 PM Tea 04:10 PM - 05:00 PM MSRI/Evans Lecture: Multiplicities of graded families of ideals Steven Cutkosky (University of Missouri)
Feb 12, 2013
Tuesday
 09:30 AM - 10:30 AM The derived category of a complete intersection ring Srikanth Iyengar (University of Nebraska) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Lefschetz theorems for dg-categories with applications to matrix factorizations Alexander Polishchuk (University of Oregon) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM The bicategory of Landau-Ginzburg models Daniel Murfet (University of California, Los Angeles) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Group actions on rings and the Cech complex Peter Symonds (University of Manchester)
Feb 13, 2013
Wednesday
 09:30 AM - 10:30 AM Graded Maximal Cohen-Macaulay Modules over Elliptic Curves Ragnar-Olaf Buchweitz (University of Toronto) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Higher Segal Spaces Tobias Dyckerhoff 12:00 PM - 01:30 PM Lunch 01:30 PM - 02:30 PM The representation type of a projective variety Rosa M. Miró-Roig (University of Barcelona) 02:30 PM - 03:00 PM Tea 03:00 PM - 03:20 PM Periodicity of $$d$$-cluster tilted algebras Alexander Dugas 03:00 PM - 03:20 PM Variation of the first Hilbert coefficients Laura Ghezzi 03:00 PM - 03:20 PM Associated primes of local cohomology of flat extensions with regular fibers Luis Nunez (University of Michigan) 03:30 PM - 03:50 PM Graded matrix factorizations and complete intersections Jesse Burke 03:30 PM - 03:50 PM Representations with finitely many orbits and free resolutions Federico Galetto 03:30 PM - 03:50 PM Depth and Dimension for High Syzygies Kristen Beck 04:00 PM - 04:20 PM Grothendieck duality and complete intersections Gregory Stevenson (Universität Bielefeld) 04:00 PM - 04:20 PM Lower Bounds for the Depth of Powers of Edge Ideals Louiza Fouli (New Mexico State University) 04:00 PM - 04:20 PM Lech's Inequality Javid Validashti 04:30 PM - 06:20 PM Reception
Feb 14, 2013
Thursday
 09:00 AM - 10:00 AM Modules for elementary abelian p-groups and hypersurface singularities David Benson (University of Aberdeen) 10:00 AM - 10:30 AM Tea 10:30 AM - 11:30 AM Cohen-Macaulay cones and subcategories Hailong Dao (University of Kansas) 11:30 AM - 12:30 PM Asymptotic syzygies of algebraic varieties Robert Lazarsfeld (University of Michigan)
Feb 15, 2013
Friday
 09:30 AM - 10:30 AM Syzygies of torsion bundles and the geometry of the level l modular variety over $$M_g$$ Gavril Farkas 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Cluster tilting for Cohen-Macaulay modules Osamu Iyama 12:00 PM - 01:30 PM Lunch 01:30 PM - 02:30 PM Bounds on the Projective Dimension and Regularity of Ideals Jason McCullough 02:30 PM - 03:00 PM Tea 03:00 PM - 03:20 PM On a conjecture of Huneke and R. Wiegand Olgur Celikbas 03:00 PM - 03:20 PM Local rings of embedding codepth 3. Examples Oana Veliche 03:00 PM - 03:20 PM Hypergraphs and Regularity of Square-Free Monomial Ideals Kuei-Nuan Lin 03:30 PM - 03:50 PM Nilpotent commutator of a nilpotent matrix Leila Khatami 03:30 PM - 03:50 PM Asymptotic Schur Decomposition of Veronese Syzygy Functors Xin Zhou 03:30 PM - 03:50 PM Tate cohomology relation for finite dimensional Hopf algebras with an application to group algebras nguyen van (Texas A & M University) 04:00 PM - 04:20 PM Contracting endomorphisms and dualizing complexes Saeed Nasseh 04:00 PM - 04:20 PM Balanced vertex decomposable simplicial complexes and their h-vectors Jennifer Biermann 04:00 PM - 04:20 PM Divisors on graphs, Connected flags, and Syzygies Fatemeh Mohammadi 04:30 PM - 04:50 PM Resolutions of orbit closures of quiver representations Kavita Sutar 04:30 PM - 04:50 PM Artinian level algebras of low socle degree Alessandro De Stefani (University of Virginia) 04:30 PM - 04:50 PM Revisiting Auslander's 1962 ICM Address Frank Moore (Wake Forest University)
Feb 16, 2013
Saturday
 09:00 AM - 10:00 AM Socles, quasi-socles, and integral dependence Bernd Ulrich (Purdue University) 10:00 AM - 11:00 AM Break 11:00 AM - 12:00 PM Equations and syzygies via representation theory and combinatorics Claudiu Raicu (Princeton University) 12:00 PM - 01:30 PM Lunch 01:30 PM - 02:30 PM Duality Phenomena for Koszul Homology Claudia Miller (Syracuse University) 02:30 PM - 03:30 PM Break 03:30 PM - 04:30 PM Koszul, Ringel, and Serre duality for strict polynomial functors Henning Krause (Universität Bielefeld)
Feb 17, 2013
Sunday
 09:00 AM - 10:00 AM Some results on the Lex-Plus-Power conjecture Giulio Caviglia 10:00 AM - 10:15 AM Break 10:15 AM - 11:15 AM Powers of graded ideals Marc Chardin 11:15 AM - 11:30 AM Break 11:30 AM - 12:30 PM Ordinary and symbolic powers are Golod Juergen Herzog