Mar 23, 2009
to
Mar 27, 2009
Organizer(s)
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.)
"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.
| Schedule |
|---|
| Monday, March 23, 2009 |
|
9:30AM - 10:30AM |
Mircea Mustata
|
On asymptotic invariants of graded sequences of ideals
[Video available]
|
|
11:00AM - 12:00PM |
Lev Borisov
|
Strong exceptional collections of line bundles on Fano toric DM stacks
[Video available]
|
|
2:00PM - 3:00PM |
Nicolas Perrin
|
Towards a Littlewood-Richardson rule in the Kac-Moody setting.
[Video available]
|
|
3:30PM - 4:30PM |
Izzet Coskun
|
Geometric positivity in the cohomology of homogeneous varieties
[Video available]
|
| Tuesday, March 24, 2009 |
|
9:30AM - 10:30AM |
Ezra Miller
|
Equivariant transversality and K-theoretic positivity
[Video available]
|
|
11:00AM - 12:00PM |
Kiumars Kaveh
|
Convex bodies, semi-groups of integral points, algebras of finite type, and geometry of linear series on varieties
[Video available]
|
|
1:30PM - 2:30PM |
David Speyer
|
What can we learn about matroids from K-theory?
[Video available]
|
|
3:00PM - 4:00PM |
Diane Maclagan
|
Tropical bounds on nef cones
[Video available]
|
| Wednesday, March 25, 2009 |
|
9:30AM - 10:30AM |
Sam Payne
|
Boundary complexes of varieties
[Video available]
|
|
11:00AM - 12:00PM |
Evgueni Tevelev
|
Compactifications of Subvarieties of Tori
[Video available]
|
| Thursday, March 26, 2009 |
|
9:30AM - 10:30AM |
Constantin Leonardo Mihalcea
|
Quantum K theory of Grassmannians
[Video available]
|
|
11:00AM - 12:00PM |
Kai Behrend
|
The virtual Betti numbers of the Hilbert scheme of points on a Calabi- Yau threefold
[Video available]
|
|
1:30PM - 2:30PM |
Thomas Lam
|
K-theoretic Schubert calculus on the affine Grassmannian
[Video available]
|
|
3:00PM - 4:00PM |
Tara Holm
|
The K-Theory of Symplectic Orbifolds
[Video available]
|
| Friday, March 27, 2009 |
|
9:30AM - 10:30AM |
Bernd Sturmfels
|
The Hilbert scheme of the diagonal in a product of projective spaces
[Video available]
|
|
11:00AM - 12:00PM |
Nicolas Ressayre
|
GIT-cones and applications
[Video available]
|
|
3:00PM - 4:00PM |
Allen Knutson
|
Frobenius splitting of matrix Schubert varieties and positroid varieties, with applications to juggling
[Video available]
|
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