Jul 23, 2007
to
Aug 3, 2007
Organizer(s)
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
| Schedule |
|---|
| Monday, July 23, 2007 |
|
9:00AM - 9:30AM |
Ravi Vakil
|
Vakil-1
[Video available]
|
|
9:30AM - 10:30AM |
Max Lieblich
|
Lieblich-1
[Video available]
|
|
11:00AM - 12:00PM |
Martin Olsson
|
Olsson-1
[Video available]
|
|
12:00PM - 1:00PM |
Brian Osserman
|
Osserman-1
[Video available]
|
| Tuesday, July 24, 2007 |
|
9:00AM - 10:00AM |
Max Lieblich
|
Lieblich-2
[Video available]
|
|
10:30AM - 11:30AM |
Martin Olsson
|
Olsson-2
[Video available]
|
|
12:00PM - 1:00PM |
Brian Osserman
|
Osserman-2
[Video available]
|
| Wednesday, July 25, 2007 |
|
9:00AM - 10:00AM |
Max Lieblich
|
Lieblich-3
[Video available]
|
|
10:30AM - 11:30AM |
Martin Olsson
|
Olsson-3
[Video available]
|
|
12:00PM - 1:00PM |
Brian Osserman
|
Osserman-3
[Video available]
|
| Thursday, July 26, 2007 |
|
9:00AM - 10:00AM |
Max Lieblich
|
Lieblich-4
[Video available]
|
|
10:30AM - 11:30AM |
Martin Olsson
|
Olsson-4
[Video available]
|
|
12:00PM - 1:00PM |
Brian Osserman
|
Osserman-4
[Video available]
|
| Friday, July 27, 2007 |
|
9:00AM - 11:00AM |
Jason Starr
|
Starr-1
[Video available]
|
|
11:30AM - 1:00PM |
Ravi Vakil
|
Vakil-2
[Video available]
|
| Monday, July 30, 2007 |
|
1:00PM - 2:00PM |
Max Lieblich
|
Lieblich-5
[Video available]
|
|
2:30PM - 3:30PM |
Martin Olsson
|
Olsson-5
[Video available]
|
|
4:00PM - 5:00PM |
Brian Osserman
|
Osserman-5
[Video available]
|
| Tuesday, July 31, 2007 |
|
1:00PM - 2:00PM |
Max Lieblich
|
Lieblich-6
[Video available]
|
|
2:30PM - 3:30PM |
Martin Olsson
|
Olsson-6
[Video available]
|
|
4:00PM - 5:00PM |
Brian Osserman
|
Osserman-6
[Video available]
|
| Wednesday, August 01, 2007 |
|
1:00PM - 2:00PM |
Max Lieblich
|
Lieblich-7
[Video available]
|
|
2:30PM - 3:30PM |
Martin Olsson
|
Olsson-7
[Video available]
|
|
4:00PM - 5:00PM |
Brian Osserman
|
Osserman-7
[Video available]
|
| Thursday, August 02, 2007 |
|
1:00PM - 2:00PM |
Max Lieblich
|
Lieblich-8
[Video available]
|
|
2:30PM - 3:30PM |
Martin Olsson
|
Olsson-8
[Video available]
|
|
4:00PM - 5:00PM |
Brian Osserman
|
osserman-8
[Video available]
|
| Friday, August 03, 2007 |
|
1:00PM - 2:30PM |
Paul Hacking
|
Hacking-1
[Video available]
|
|
3:30PM - 5:00PM |
Brian Conrad
|
Conrad-1
[Video available]
|
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