Gromov-Witten theory student seminar, Spring '10


Organizers: Constantin Teleman, Daniel Halpern-Leistner, Daniel Pomerleano, Kevin Lin, and Pablo Solis

I'm maintaining a website via bSpace, where you can download all of the papers and books we are using. Anyone with access to bSpace can join the bSpace page.

List of speakers/abstracts:

Date

Speaker

Topic

References

Sections

1/25

Kevin Lin

Introduction to Gromov-Witten theory

Fulton-Pandharipande

0

2/3

Daniel Halpern-Leistner

Definition of stable curves - deformations and automorphisms

Deligne-Mumford

1,2

2/10

Pablo Solis

What is a stack? Properties of Mg

Deligne-Mumford

4,5

2/22

Yuhao Huang

Langauge of groupoids, existence of coarse moduli spaces

Keel-Mori, Conrad

All

3/1

Charley Crissman

Moduli of stable maps 1

Fulton-Pandharipande

2-4

3/8

Claudiu Raicu

Moduli of stable maps 2

Fulton-Pandharipande

4-5

3/15

Kevin Lin

Quantum cohomology and enumerative geometry applications

Fulton-Pandharipande

7-9

Other topics to be covered include:

Intersection theory for DM stacks, Obstruction theories, Virtual fundamental class, Localization



References:

Deligne, Mumford - "irreducibility of the space of curves of a given genus"

Fulton, Pandharipande - "notes on stable maps and quantum cohomology"

Keel, Mori - "quotients by groupoids"

Conrad - "keel-mori theorem via stacks"

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Last modified: Mon Sep 3 21:52:07 PDT 2007