Stock Image

A Study in Derived Algebraic Geometry: Correspondences and Duality (Mathematical Surveys and Monographs)

Dennis Gaitsgory

0 ratings by Goodreads
ISBN 10: 1470435691 / ISBN 13: 9781470435691
Published by American Mathematical Society, 2017
New Condition: New Hardcover
From Books Express (Portsmouth, NH, U.S.A.)

AbeBooks Seller Since August 14, 2015 Seller Rating 5-star rating

Quantity Available: 1

Buy New
List Price: US$ 124.00
Price: US$ 329.40 Convert Currency
Shipping: Free Within U.S.A. Destination, rates & speeds
Add to basket

30 Day Return Policy

About this Item

Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. Buy with confidence, excellent customer service!. Bookseller Inventory # 1470435691n

Ask Seller a Question

Bibliographic Details

Title: A Study in Derived Algebraic Geometry: ...

Publisher: American Mathematical Society

Publication Date: 2017

Binding: Hardcover

Book Condition:New

About this title


Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics, most prominently in representation theory. This volume develops the theory of ind-coherent sheaves in the context of derived algebraic geometry. Ind-coherent sheaves are a ``renormalization'' of quasi-coherent sheaves and provide a natural setting for Grothendieck-Serre duality as well as geometric incarnations of numerous categories of interest in representation theory.This volume consists of three parts and an appendix. The first part is a survey of homotopical algebra in the setting of $\infty$-categories and the basics of derived algebraic geometry. The second part builds the theory of ind-coherent sheaves as a functor out of the category of correspondences and studies the relationship between ind-coherent and quasi-coherent sheaves. The third part sets up the general machinery of the $\mathrm{(}\infty, 2\mathrm{)}$-category of correspondences needed for the second part. The category of correspondences, via the theory developed in the third part, provides a general framework for Grothendieck's six-functor formalism. The appendix provides the necessary background on $\mathrm{(}\infty, 2\mathrm{)}$-categories needed for the third part.

About the Author:

Dennis Gaitsgory, Harvard University, Cambridge, MA.Nick Rozenblyum, University of Chicago, IL.

"About this title" may belong to another edition of this title.

Store Description

Visit Seller's Storefront

Terms of Sale:

Buy with confidence. Excellent customer service. 30 day return policy with a full refund if you are not completely satisfied with the book or its condition. Books Express LLC.

Shipping Terms:

Ships usually within one business day. Standard and expedited shipping options include shipping and handling costs. Default shipping is by USPS Media Mail and frequently USPS Priority Mail or UPS Ground is used. Books should arrive within 10-14 business days for expedited shipping, and 20-30 business days for standard shipping. Standard shipping can on occasion take up to 30 days for delivery.

List this Seller's Books

Payment Methods
accepted by seller

Visa Mastercard American Express

Check Money Order PayPal Invoice Bank Draft Bank/Wire Transfer Direct Debit (Personally Authorized Payment)