Feb 23, 2009
to
Feb 27, 2009
Organizer(s)
I. Coskun (U. Illinois - Chicago), S. Katz (U. Illinois), A. Marian (Institute for Advanced Study), R. Pandharipande (Princeton U.), R. Thomas (Imperial College), H.H. Tseng (U. Wisconsin), R. Vakil (Stanford U.)
The last few years have witnessed major developments in algebraic geometry, especially in the minimal model program and derived categories. The purpose of this workshop is to explore the implications of these developments to moduli theory. The workshop will convene experts specializing on the minimal model program, derived categories and moduli spaces in an informal environment to facilitate the cross-fertilization of ideas across these different fields of algebraic geometry. The four
main themes will be:
1. The interactions and connections between Gromov-Witten theory, Donaldson-Thomas theory and stable-pair theory.
2. Moduli of objects in derived categories and their relations to counting invariants.
3. The moduli of higher dimensional varieties.
4. New developments in Brill-Noether Theory and the minimal model program for the moduli space of curves.
Bibliography PDF (12 KB)
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 February 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: M10000. The cut-off date for reservations is January 23, 2009. Room Rate $159/ night.
| Schedule |
|---|
| Monday, February 23, 2009 |
|
9:30AM - 10:30AM |
Rahul Pandharipande
|
The top Chern class of the Hodge bundle.
[Video available]
|
|
11:00AM - 12:00PM |
Brendan Hassett
|
Rational curves on K3 surfaces and their higher-dimensional analogs
[Video available]
|
|
2:00PM - 3:00PM |
David Smyth
|
Modular compactifications of the moduli space of curves
[Video available]
|
| Tuesday, February 24, 2009 |
|
9:30AM - 10:30AM |
Mark Gross
|
"The tropical vertex"
[Video available]
|
|
11:00AM - 12:00PM |
Tom Bridgeland
|
Hall algebras and curve-counting
[Video available]
|
|
1:30PM - 2:30PM |
Yukinobu Toda
|
Stability conditions and Donaldson-Thomas type invariants
[Video available]
|
|
3:00PM - 4:00PM |
Dominic Joyce
|
A theory of generalized Donaldson-Thomas invariants
[Video available]
|
| Wednesday, February 25, 2009 |
|
9:30AM - 10:30AM |
Barbara Fantechi
|
"Intertia stack of M_{g,n}"
[Video available]
|
|
11:00AM - 12:00PM |
Yuan-Pin Lee
|
K-equivalence in Gromov--Witten theory
[Video available]
|
| Thursday, February 26, 2009 |
|
9:30AM - 10:30AM |
Dragos Oprea
|
The Verlinde bundles in higher genus
[Video available]
|
|
11:00AM - 12:00PM |
Davesh Maulik
|
"Gromov-Witten theory on K3 surfaces
[Video available]
|
|
2:00PM - 3:00PM |
Carel Faber
|
A remark on a conjecture of Hain and Looijenga
[Video available]
|
| Friday, February 27, 2009 |
|
9:30AM - 10:30AM |
János Kollár
|
Log canonical implies Du Bois
[Video available]
|
|
11:00AM - 12:00PM |
James McKernan
|
Termination of flips
[Video available]
|
|
2:00PM - 3:00PM |
Valery Alexeev
|
Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces
[Video available]
|
|
4:00PM - 5:00PM |
Eckart Viehweg
|
Kobayashi geodesics in A_g
[Video available]
|
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