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Deformation Theory and Moduli in Algebraic Geometry

July 23, 2007 to August 03, 2007
 
Organized By: Max Lieblich (Princeton), Martin Olsson (Berkeley), Brian Osserman (Berkeley), Ravi Vakil (Stanford)
 
Unfortunately, this workshop is full. We are no longer able to accept any more applications.

This workshop is intended to introduce to graduate students the main ideas of deformation theory and moduli spaces in algebraic geometry. We hope to illuminate the general theory through extensive discussions of concrete examples and applications. The intended audience is the graduate student with a strong interest in algebraic geometry, having at least some familiarity with the language of schemes, and ideally comfortable with the content of Hartshorne's book Algebraic Geometry.

The workshop will be anchored by three lecture series on different aspects of the subject, as well as student projects aimed at furthering an understanding of the lectures and pursuing more advanced topics. The lecture series are:
  • Moduli spaces: functors, algebraic spaces, stacks, algebraic stacks (Lieblich).
  • Deformations (a): tangent and obstruction spaces (Olsson).
  • Deformations (b): representability and Schlessinger's criterion (Osserman).
Accompanying the lectures will be a collection of tightly integrated exercises. A large portion of the workshop will be devoted to these exercises, with the students expected to work on them in the afternoon and evening. In addition, students will be expected to give short presentation on background material, which will be arranged in advance.

Click here for workshop details



Lodging and Directions
 

Currently Available Videos

  • Max Lieblich, Lieblich-7 August 1,2007, 01:00 PM to 02:00 PM
  • Martin Olsson, Olsson-7 August 1,2007, 02:30 PM to 03:30 PM
  • Brian Osserman, Osserman-7 August 1,2007, 04:00 PM to 05:00 PM
  • Max Lieblich, Lieblich-8 August 2,2007, 01:00 PM to 02:00 PM
  • Martin Olsson, Olsson-8 August 2,2007, 02:30 PM to 03:30 PM
  • Brian Osserman, osserman-8 August 2,2007, 04:00 PM to 05:00 PM
  • Paul Hacking, Hacking-1 August 3,2007, 01:00 PM to 02:30 PM
  • Brian Conrad, Conrad-1 August 3,2007, 03:30 PM to 05:00 PM
  • Ravi Vakil, Vakil-1 July 23,2007, 09:00 AM to 09:30 AM
  • Max Lieblich, Lieblich-1 July 23,2007, 09:30 AM to 10:30 AM
  • Martin Olsson, Olsson-1 July 23,2007, 11:00 AM to 12:00 PM
  • Brian Osserman, Osserman-1 July 23,2007, 12:00 PM to 01:00 PM
  • Max Lieblich, Lieblich-2 July 24,2007, 09:00 AM to 10:00 AM
  • Martin Olsson, Olsson-2 July 24,2007, 10:30 AM to 11:30 AM
  • Brian Osserman, Osserman-2 July 24,2007, 12:00 PM to 01:00 PM
  • Max Lieblich, Lieblich-3 July 25,2007, 09:00 AM to 10:00 AM
  • Martin Olsson, Olsson-3 July 25,2007, 10:30 AM to 11:30 AM
  • Brian Osserman, Osserman-3 July 25,2007, 12:00 PM to 01:00 PM
  • Max Lieblich, Lieblich-4 July 26,2007, 09:00 AM to 10:00 AM
  • Martin Olsson, Olsson-4 July 26,2007, 10:30 AM to 11:30 AM
  • Brian Osserman, Osserman-4 July 26,2007, 12:00 PM to 01:00 PM
  • Jason Starr, Starr-1 July 27,2007, 09:00 AM to 11:00 AM
  • Ravi Vakil, Vakil-2 July 27,2007, 11:30 AM to 01:00 PM
  • Max Lieblich, Lieblich-5 July 30,2007, 01:00 PM to 02:00 PM
  • Martin Olsson, Olsson-5 July 30,2007, 02:30 PM to 03:30 PM
  • Brian Osserman, Osserman-5 July 30,2007, 04:00 PM to 05:00 PM
  • Max Lieblich, Lieblich-6 July 31,2007, 01:00 PM to 02:00 PM
  • Martin Olsson, Olsson-6 July 31,2007, 02:30 PM to 03:30 PM
  • Brian Osserman, Osserman-6 July 31,2007, 04:00 PM to 05:00 PM
You can find videos of other workshops and events on our VMath - Streaming Video page.
 
 
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