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Combinatorial, Enumerative and Toric Geometry

March 23, 2009 to March 27, 2009
Organized By: Michel Brion (U. de Genoble), Anders Buch (Rutgers U.), Linda Chen (Ohio State U.), William Fulton (U. Michigan), Sándor Kovács (U. Washington), Frank Sottile (Texas A&M), Harry Tamvakis (U. Maryland), and Burt Totaro (Cambridge U.)
 
Parent Programs:
Algebraic Geometry
 
Participant List:
View a List of Registered Participants
 
"Conference webpage"

Algebraic geometry has long been a central subject within mathematics, enjoying deep and substantial connections to other parts of mathematics. In particular, the interplay between algebraic geometry and algebraic combinatorics has led to many important developments in these and other mathematical fields. The last fifteen years have seen an explosion of interest in algebraic varieties with rich combinatorial structures: Schubert geometry of flag varieties and their subvarieties, degeneracy
loci, toric varieties, moduli spaces and Gromov-Witten theory, and varieties with group actions. Powerful tools from algebraic topology, combinatorics, commutative and computational algebra, complex and symplectic geometry, and representation theory have been developed to study such objects. In this workshop, we will present the state of the art in combinatorial, enumerative, and toric algebraic geometry. We will highlight this part of modern algebraic geometry within the context of the broader parent program at MSRI, and convey its scope to young researchers.

Bibliography (PDF 8KB)

Accomodations:

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.
The cut-off date for reservations is March 6, 2009.

A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: MZ0000. The cut-off date for reservations is February 20, 2009. Room Rate $159/ night.
 

Follow this link to read about the new U.S. visa requirements

 

Schedule

Monday March 23, 2009

09:30AM - 10:30AM  Mircea Mustata On asymptotic invariants of graded sequences of ideals    (See Abstract)
10:30AM - 11:00AM  Coffee, tea in the atrium
11:00AM - 12:00PM  Lev Borisov Strong exceptional collections of line bundles on Fano toric DM stacks    (See Abstract)
12:00PM - 02:00PM  LUNCH
02:00PM - 03:00PM  Nicolas Perrin Towards a Littlewood-Richardson rule in the Kac-Moody setting.    (See Abstract)
03:00PM - 03:30PM  Coffee,Tea in the atrium
03:30PM - 04:30PM  Izzet Coskun Geometric positivity in the cohomology of homogeneous varieties    (See Abstract)

Tuesday March 24, 2009

09:30AM - 10:30AM  Ezra Miller Equivariant transversality and K-theoretic positivity    (See Abstract)
10:30AM - 11:00AM  Coffee,Tea in the atrium
11:00AM - 12:00PM  Kiumars Kaveh Convex bodies, semi-groups of integral points, algebras of finite type, and geometry of linear series on varieties    (See Abstract)
12:00PM - 01:30PM  LUNCH
01:30PM - 02:30PM  David Speyer What can we learn about matroids from K-theory?    (See Abstract)
02:30PM - 03:00PM  Coffee, Tea in the atrium
03:00PM - 04:00PM  Diane Maclagan Tropical bounds on nef cones    (See Abstract)
04:00PM - 05:00PM  Piano performance by Harry Tamvakis in the Simons Auditorium    (See Abstract)
05:00PM - 06:00PM  Reception in the atrium

Wednesday March 25, 2009

09:30AM - 10:30AM  Sam Payne Boundary complexes of varieties    (See Abstract)
10:30AM - 11:00AM  Coffee,Tea in the atrium
11:00AM - 12:00PM  Evgueni Tevelev Compactifications of Subvarieties of Tori    (See Abstract)

Thursday March 26, 2009

09:30AM - 10:30AM  Constantin Leonardo Mihalcea Quantum K theory of Grassmannians    (See Abstract)
10:30AM - 11:00AM  Coffee,Tea in the atrium
11:00AM - 12:00PM  Kai Behrend The virtual Betti numbers of the Hilbert scheme of points on a Calabi- Yau threefold    (See Abstract)
12:00PM - 01:30PM  LUNCH
01:30PM - 02:30PM  Thomas Lam K-theoretic Schubert calculus on the affine Grassmannian    (See Abstract)
02:30PM - 03:00PM  Coffee, tea int he atrium
03:00PM - 04:00PM  Tara Holm The K-Theory of Symplectic Orbifolds    (See Abstract)

Friday March 27, 2009

09:30AM - 10:30AM  Bernd Sturmfels The Hilbert scheme of the diagonal in a product of projective spaces    (See Abstract)
10:30AM - 11:00AM  Coffee, Tea in the atrium
11:00AM - 12:00PM  Nicolas Ressayre GIT-cones and applications    (See Abstract)
12:00PM - 01:30PM  LUNCH
01:30PM - 02:30PM  Prakash Belkale Horn and saturation conjectures for the symplectic and odd orthogonal groups.    (See Abstract)
02:30PM - 03:00PM  Coffee,Tea in the atrium
03:00PM - 04:00PM  Allen Knutson Frobenius splitting of matrix Schubert varieties and positroid varieties, with applications to juggling    (See Abstract)

Currently Available Videos

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