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Modern Moduli Theory February 23, 2009 - February 27, 2009
Registration Deadline: February 23, 2009 over 15 years ago
To apply for Funding you must register by: November 23, 2008 over 15 years ago
Parent Program:
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.)

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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.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Schedule, Notes/Handouts & Videos
Show Schedule, Notes/Handouts & Videos
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Feb 23, 2009
09:30 AM - 10:30 AM
  The top Chern class of the Hodge bundle.
Rahul Pandharipande (ETH Zurich)
11:00 AM - 12:00 PM
  Rational curves on K3 surfaces and their higher-dimensional analogs
Brendan Hassett (Brown University)
02:00 PM - 03:00 PM
  Modular compactifications of the moduli space of curves
David Smyth
Feb 24, 2009
09:30 AM - 10:30 AM
  "The tropical vertex"
Mark Gross (University of Cambridge)
11:00 AM - 12:00 PM
  Hall algebras and curve-counting
Tom Bridgeland (University of Sheffield)
01:30 PM - 02:30 PM
  Stability conditions and Donaldson-Thomas type invariants
Yukinobu Toda (Kavli Institute for the Physics and Mathematics of the Universe )
03:00 PM - 04:00 PM
  A theory of generalized Donaldson-Thomas invariants
Dominic Joyce (University of Oxford)
Feb 25, 2009
09:30 AM - 10:30 AM
  "Intertia stack of M_{g,n}"
Barbara Fantechi (International School for Advanced Studies (SISSA/ISAS))
11:00 AM - 12:00 PM
  K-equivalence in Gromov--Witten theory
Yuan-Pin Lee
Feb 26, 2009
09:30 AM - 10:30 AM
  The Verlinde bundles in higher genus
Dragos Oprea (University of California, San Diego)
11:00 AM - 12:00 PM
  "Gromov-Witten theory on K3 surfaces
Davesh Maulik (Massachusetts Institute of Technology)
02:00 PM - 03:00 PM
  A remark on a conjecture of Hain and Looijenga
Carel Faber
Feb 27, 2009
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 (University of California, San Diego)
02:00 PM - 03:00 PM
  Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces
Valery Alexeev (University of Georgia)
04:00 PM - 05:00 PM
  Kobayashi geodesics in A_g
Eckart Viehweg