Home /  Deformation Theory and Moduli in Algebraic Geometry

Summer Graduate School

Deformation Theory and Moduli in Algebraic Geometry July 23, 2007 - August 03, 2007
Parent Program: --
Organizers Max Lieblich (Princeton), Martin Olsson (Berkeley), Brian Osserman (Berkeley), Ravi Vakil (Stanford)
Teaching Assistants(s)

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Speaker(s)

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Description
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.

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 Lodging and Directions
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
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Jul 23, 2007
Monday
09:00 AM - 09:30 AM
  Vakil-1
Ravi Vakil (Stanford University)
09:30 AM - 10:30 AM
  Lieblich-1
Max Lieblich (University of Washington)
11:00 AM - 12:00 PM
  Olsson-1
Martin Olsson (University of California, Berkeley)
12:00 PM - 01:00 PM
  Osserman-1
Brian Osserman (University of California, Davis)
Jul 24, 2007
Tuesday
09:00 AM - 10:00 AM
  Lieblich-2
Max Lieblich (University of Washington)
10:30 AM - 11:30 AM
  Olsson-2
Martin Olsson (University of California, Berkeley)
12:00 PM - 01:00 PM
  Osserman-2
Brian Osserman (University of California, Davis)
Jul 25, 2007
Wednesday
09:00 AM - 10:00 AM
  Lieblich-3
Max Lieblich (University of Washington)
10:30 AM - 11:30 AM
  Olsson-3
Martin Olsson (University of California, Berkeley)
12:00 PM - 01:00 PM
  Osserman-3
Brian Osserman (University of California, Davis)
Jul 26, 2007
Thursday
09:00 AM - 10:00 AM
  Lieblich-4
Max Lieblich (University of Washington)
10:30 AM - 11:30 AM
  Olsson-4
Martin Olsson (University of California, Berkeley)
12:00 PM - 01:00 PM
  Osserman-4
Brian Osserman (University of California, Davis)
Jul 27, 2007
Friday
09:00 AM - 11:00 AM
  Starr-1
Jason Starr
11:30 AM - 01:00 PM
  Vakil-2
Ravi Vakil (Stanford University)
Jul 30, 2007
Monday
01:00 PM - 02:00 PM
  Lieblich-5
Max Lieblich (University of Washington)
02:30 PM - 03:30 PM
  Olsson-5
Martin Olsson (University of California, Berkeley)
04:00 PM - 05:00 PM
  Osserman-5
Brian Osserman (University of California, Davis)
Jul 31, 2007
Tuesday
01:00 PM - 02:00 PM
  Lieblich-6
Max Lieblich (University of Washington)
02:30 PM - 03:30 PM
  Olsson-6
Martin Olsson (University of California, Berkeley)
04:00 PM - 05:00 PM
  Osserman-6
Brian Osserman (University of California, Davis)
Aug 01, 2007
Wednesday
01:00 PM - 02:00 PM
  Lieblich-7
Max Lieblich (University of Washington)
02:30 PM - 03:30 PM
  Olsson-7
Martin Olsson (University of California, Berkeley)
04:00 PM - 05:00 PM
  Osserman-7
Brian Osserman (University of California, Davis)
Aug 02, 2007
Thursday
01:00 PM - 02:00 PM
  Lieblich-8
Max Lieblich (University of Washington)
02:30 PM - 03:30 PM
  Olsson-8
Martin Olsson (University of California, Berkeley)
04:00 PM - 05:00 PM
  osserman-8
Brian Osserman (University of California, Davis)
Aug 03, 2007
Friday
01:00 PM - 02:30 PM
  Hacking-1
Paul Hacking (University of Massachusetts, Amherst)
03:30 PM - 05:00 PM
  Conrad-1
Brian Conrad (Stanford University)