 |
|
|
Item Details
| Title:
|
ARITHMETIC FUNDAMENTAL GROUPS AND NONCOMMUTATIVE ALGEBRA
1999 VON NEUMANN CONFERENCE ON ARITHMETIC FUNDAMENTAL GROUPS AND NONCOMMUTATIVE ALGEBRA, AUGUST 16-27, 1999, MATHEMATICAL SCIENCES RESEARCH INSTITUTE, BERKELEY, CALIFORNIA |
| By: |
Michael D. Fried (Editor), Yasutaka Ihara (Editor) |
| Format: |
Hardback |
| List price:
|
£127.00 |
|
We believe that this item is permanently unavailable, and so we cannot source
it.
|
|
|
|
|
|
| ISBN 10: |
0821820362 |
| ISBN 13: |
9780821820360 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 July, 2002 |
| Series: |
Proceedings of Symposia in Pure Mathematics No. 70 |
| Pages: |
569 |
| Description: |
The arithmetic and geometry of moduli spaces and their fundamental groups are a very active research area. This book examines the geometry of moduli spaces of curves with a function on them. It covers the absolute Galois group $G_{\mathbb Q}$ of the algebraic numbers and its close relatives. |
| Synopsis: |
The arithmetic and geometry of moduli spaces and their fundamental groups are a very active research area. This book offers a complete overview of developments made over the last decade. The papers in this volume examine the geometry of moduli spaces of curves with a function on them. The main players in Part 1 are the absolute Galois group $G_{\mathbb Q}$ of the algebraic numbers and its close relatives. By analyzing how $G_{\mathbb Q}$ acts on fundamental groups defined by Hurwitz moduli problems, the authors achieve a grand generalization of Serre's program from the 1960s.Papers in Part 2 apply $\theta$-functions and configuration spaces to the study of fundamental groups over positive characteristic fields. In this section, several authors use Grothendieck's famous lifting results to give extensions to wildly ramified covers. Properties of the fundamental groups have brought collaborations between geometers and group theorists. Several Part 3 papers investigate new versions of the genus 0 problem. In particular, this includes results severely limiting possible monodromy groups of sphere covers.Finally, Part 4 papers treat Deligne's theory of Tannakian categories and arithmetic versions of the Kodaira-Spencer map. This volume is geared toward graduate students and research mathematicians interested in arithmetic algebraic geometry. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
|
|
|
 |
|
|
|
|
|
No Cheese, Please!
A fun picture book for children with food allergies - full of friendship and super-cute characters!Little Mo the mouse is having a birthday party.
|
My Brother Is a Superhero
Luke is massively annoyed about this, but when Zack is kidnapped by his arch-nemesis, Luke and his friends have only five days to find him and save the world...
|
|
|
|
|