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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.)
 
Parent Programs:
Algebraic Geometry
 
Participant List:
View a List of Registered Participants
 
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.
 

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

 

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
11:00AM - 12:00PM  Brendan Hassett Rational curves on K3 surfaces and their higher-dimensional analogs    (See Abstract)
12:00PM - 02:00PM  Lunch
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
11:00AM - 12:00PM  Tom Bridgeland Hall algebras and curve-counting    (See Abstract)
12:00PM - 01:30PM  Lunch
01:30PM - 02:30PM  Yukinobu Toda Stability conditions and Donaldson-Thomas type invariants    (See Abstract)
02:30PM - 03:00PM  Coffee, tea in the atrium
03:00PM - 04:00PM  Dominic Joyce A theory of generalized Donaldson-Thomas invariants    (See Abstract)
04:00PM - 05:00PM  Reception in the atrium

Wednesday February 25, 2009

09:30AM - 10:30AM  Barbara Fantechi "Intertia stack of M_{g,n}"
10:30AM - 11:00AM  Coffee, tea in the atrium
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
11:00AM - 12:00PM  Davesh Maulik "Gromov-Witten theory on K3 surfaces"
12:00PM - 02:00PM  Lunch
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
11:00AM - 12:00PM  James McKernan Termination of flips    (See Abstract)
12:00PM - 02:00PM  Lunch
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
04:00PM - 05:00PM  Eckart Viehweg Kobayashi geodesics in A_g    (See Abstract)

Currently Available Videos

You can find videos of other workshops and events on our VMath - Streaming Video page.
 

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