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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.) |
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| Parent Programs: |
| Algebraic Geometry |
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| Participant List: |
| View a List of Registered Participants |
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"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. |
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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
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| 11:00AM - 12:00PM |
Lev Borisov |
Strong exceptional collections of line bundles on Fano toric DM stacks
(See Abstract) |
| 12:00PM - 02:00PM |
LUNCH
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| 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
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| 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
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| 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
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| 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
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| 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
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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
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| 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
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| 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
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| 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
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| 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
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| 11:00AM - 12:00PM |
Nicolas Ressayre |
GIT-cones and applications
(See Abstract) |
| 12:00PM - 01:30PM |
LUNCH
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| 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
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| 03:00PM - 04:00PM |
Allen Knutson |
Frobenius splitting of matrix Schubert varieties and positroid varieties, with applications to juggling
(See Abstract) |
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Currently Available Videos |
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Mircea Mustata
, On asymptotic invariants of graded sequences of ideals March 23,2009, 09:30 AM to 10:30 AM
-
Lev Borisov
, Strong exceptional collections of line bundles on Fano toric DM stacks March 23,2009, 11:00 AM to 12:00 PM
-
Nicolas Perrin
, Towards a Littlewood-Richardson rule in the Kac-Moody setting. March 23,2009, 02:00 PM to 03:00 PM
-
Izzet Coskun
, Geometric positivity in the cohomology of homogeneous varieties March 23,2009, 03:30 PM to 04:30 PM
-
Ezra Miller
, Equivariant transversality and K-theoretic positivity March 24,2009, 09:30 AM to 10:30 AM
-
Kiumars Kaveh
, Convex bodies, semi-groups of integral points, algebras of finite type, and geometry of linear series on varieties March 24,2009, 11:00 AM to 12:00 PM
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David Speyer
, What can we learn about matroids from K-theory? March 24,2009, 01:30 PM to 02:30 PM
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Diane Maclagan
, Tropical bounds on nef cones March 24,2009, 03:00 PM to 04:00 PM
-
Sam Payne
, Boundary complexes of varieties March 25,2009, 09:30 AM to 10:30 AM
-
Evgueni Tevelev
, Compactifications of Subvarieties of Tori March 25,2009, 11:00 AM to 12:00 PM
-
Constantin Leonardo Mihalcea
, Quantum K theory of Grassmannians March 26,2009, 09:30 AM to 10:30 AM
-
Kai Behrend
, The virtual Betti numbers of the Hilbert scheme of points on a Calabi- Yau threefold March 26,2009, 11:00 AM to 12:00 PM
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Thomas Lam
, K-theoretic Schubert calculus on the affine Grassmannian March 26,2009, 01:30 PM to 02:30 PM
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Tara Holm
, The K-Theory of Symplectic Orbifolds March 26,2009, 03:00 PM to 04:00 PM
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Bernd Sturmfels
, The Hilbert scheme of the diagonal in a product of projective spaces March 27,2009, 09:30 AM to 10:30 AM
-
Nicolas Ressayre
, GIT-cones and applications March 27,2009, 11:00 AM to 12:00 PM
-
Prakash Belkale
, Horn and saturation conjectures for the symplectic and odd orthogonal groups. March 27,2009, 01:30 PM to 02:30 PM
-
Allen Knutson
, Frobenius splitting of matrix Schubert varieties and positroid varieties, with applications to juggling March 27,2009, 03:00 PM to 04:00 PM
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| You can find videos of other workshops and events on our VMath - Streaming Video page. |
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For more information:
Questions about this workshop should be sent either by email to
or by regular mail to:
Combinatorial, Enumerative and Toric Geometry
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA
The Institute is committed to the principles of Equal Opportunity and Affirmative Action.
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