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Modern Moduli Theory |
| February 23, 2009 to February 27, 2009 |
| Organized By: 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.) |
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| Parent Programs: |
| Algebraic Geometry |
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| Participant List: |
| View a List of Registered Participants |
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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. |
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Schedule |
Monday February 23, 2009 |
| 09:30AM - 10:30AM |
Rahul Pandharipande |
The top Chern class of the Hodge bundle.
(See Abstract) |
| 10:30AM - 11:00AM |
Coffee, Tea in the atrium
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| 11:00AM - 12:00PM |
Brendan Hassett |
Rational curves on K3 surfaces and their higher-dimensional analogs
(See Abstract) |
| 12:00PM - 02:00PM |
Lunch
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| 02:00PM - 03:00PM |
David Smyth |
Modular compactifications of the moduli space of curves
(See Abstract) |
Tuesday February 24, 2009 |
| 09:30AM - 10:30AM |
Mark Gross |
"The tropical vertex"
(See Abstract) |
| 10:30AM - 11:00AM |
Coffee, tea in the atrium
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| 11:00AM - 12:00PM |
Tom Bridgeland |
Hall algebras and curve-counting
(See Abstract) |
| 12:00PM - 01:30PM |
Lunch
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| 01:30PM - 02:30PM |
Yukinobu Toda |
Stability conditions and Donaldson-Thomas type invariants
(See Abstract) |
| 02:30PM - 03:00PM |
Coffee, tea in the atrium
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| 03:00PM - 04:00PM |
Dominic Joyce |
A theory of generalized Donaldson-Thomas invariants
(See Abstract) |
| 04:00PM - 05:00PM |
Reception in the atrium
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Wednesday February 25, 2009 |
| 09:30AM - 10:30AM |
Barbara Fantechi |
"Intertia stack of M_{g,n}"
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| 10:30AM - 11:00AM |
Coffee, tea in the atrium
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| 11:00AM - 12:00PM |
Yuan-Pin Lee |
K-equivalence in Gromov--Witten theory
(See Abstract) |
Thursday February 26, 2009 |
| 09:30AM - 10:30AM |
Dragos Oprea |
The Verlinde bundles in higher genus
(See Abstract) |
| 10:30AM - 11:00AM |
Coffee, tea in the atrium
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| 11:00AM - 12:00PM |
Davesh Maulik |
"Gromov-Witten theory on K3 surfaces"
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| 12:00PM - 02:00PM |
Lunch
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| 02:00PM - 03:00PM |
Carel Faber |
A remark on a conjecture of Hain and Looijenga
(See Abstract) |
Friday February 27, 2009 |
| 09:30AM - 10:30AM |
János Kollár |
Log canonical implies Du Bois
(See Abstract) |
| 10:30AM - 11:00AM |
Coffee, tea in the atrium
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| 11:00AM - 12:00PM |
James McKernan |
Termination of flips
(See Abstract) |
| 12:00PM - 02:00PM |
Lunch
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| 02:00PM - 03:00PM |
Valery Alexeev |
Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces
(See Abstract) |
| 03:00PM - 04:00PM |
Coffee, tea in the atrium
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| 04:00PM - 05:00PM |
Eckart Viehweg |
Kobayashi geodesics in A_g
(See Abstract) |
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Currently Available Videos |
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Rahul Pandharipande
, The top Chern class of the Hodge bundle. February 23,2009, 09:30 AM to 10:30 AM
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Brendan Hassett
, Rational curves on K3 surfaces and their higher-dimensional analogs February 23,2009, 11:00 AM to 12:00 PM
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David Smyth
, Modular compactifications of the moduli space of curves February 23,2009, 02:00 PM to 03:00 PM
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Mark Gross
, "The tropical vertex" February 24,2009, 09:30 AM to 10:30 AM
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Tom Bridgeland
, Hall algebras and curve-counting February 24,2009, 11:00 AM to 12:00 PM
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Yukinobu Toda
, Stability conditions and Donaldson-Thomas type invariants February 24,2009, 01:30 PM to 02:30 PM
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Dominic Joyce
, A theory of generalized Donaldson-Thomas invariants February 24,2009, 03:00 PM to 04:00 PM
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Barbara Fantechi
, "Intertia stack of M_{g,n}" February 25,2009, 09:30 AM to 10:30 AM
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Yuan-Pin Lee
, K-equivalence in Gromov--Witten theory February 25,2009, 11:00 AM to 12:00 PM
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Dragos Oprea
, The Verlinde bundles in higher genus February 26,2009, 09:30 AM to 10:30 AM
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Davesh Maulik
, "Gromov-Witten theory on K3 surfaces February 26,2009, 11:00 AM to 12:00 PM
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Carel Faber
, A remark on a conjecture of Hain and Looijenga February 26,2009, 02:00 PM to 03:00 PM
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János Kollár
, Log canonical implies Du Bois February 27,2009, 09:30 AM to 10:30 AM
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James McKernan
, Termination of flips February 27,2009, 11:00 AM to 12:00 PM
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Valery Alexeev
, Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces February 27,2009, 02:00 PM to 03:00 PM
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Eckart Viehweg
, Kobayashi geodesics in A_g February 27,2009, 04:00 PM to 05:00 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:
Modern Moduli Theory
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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