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Workshop

Modern Moduli Theory February 23, 2009 - February 27, 2009
Registration Deadline: February 23, 2009 over 5 years ago
To apply for Funding you must register by: November 23, 2008 over 5 years ago
Organizers 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.)
Speaker(s)

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Description

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
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Feb 23, 2009
Monday
09:30 AM - 10:30 AM
  The top Chern class of the Hodge bundle.
Rahul Pandharipande (Eidgenössische TH Zürich-Hönggerberg)
11:00 AM - 12:00 PM
  Rational curves on K3 surfaces and their higher-dimensional analogs
Brendan Hassett (Rice University)
02:00 PM - 03:00 PM
  Modular compactifications of the moduli space of curves
David Smyth
Feb 24, 2009
Tuesday
09:30 AM - 10:30 AM
  "The tropical vertex"
Mark Gross (University of California)
11:00 AM - 12:00 PM
  Hall algebras and curve-counting
Tom Bridgeland
01:30 PM - 02:30 PM
  Stability conditions and Donaldson-Thomas type invariants
Yukinobu Toda
03:00 PM - 04:00 PM
  A theory of generalized Donaldson-Thomas invariants
Dominic Joyce
Feb 25, 2009
Wednesday
09:30 AM - 10:30 AM
  "Intertia stack of M_{g,n}"
Barbara Fantechi
11:00 AM - 12:00 PM
  K-equivalence in Gromov--Witten theory
Yuan-Pin Lee
Feb 26, 2009
Thursday
09:30 AM - 10:30 AM
  The Verlinde bundles in higher genus
Dragos Oprea
11:00 AM - 12:00 PM
  "Gromov-Witten theory on K3 surfaces
Davesh Maulik
02:00 PM - 03:00 PM
  A remark on a conjecture of Hain and Looijenga
Carel Faber
Feb 27, 2009
Friday
09:30 AM - 10:30 AM
  Log canonical implies Du Bois
János Kollár (Princeton University)
11:00 AM - 12:00 PM
  Termination of flips
James McKernan (Massachusetts Institute of Technology)
02:00 PM - 03:00 PM
  Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces
Valery Alexeev
04:00 PM - 05:00 PM
  Kobayashi geodesics in A_g
Eckart Viehweg