Overview

This volume contains the proceedings of the CATS4 Conference on Higher Categorical Structures and their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, held from July 2-7, 2012, at CIRM in Luminy, France. Over the past several years, the CATS conference series has brought together top level researchers from around the world interested in relative and higher category theory and its applications to classical mathematical domains. Included in this volume is a collection of articles covering the applications of categories and stacks to geometry, topology and algebra. Techniques such as localization, model categories, simplicial objects, sheaves of categories, mapping stacks, dg structures, hereditary categories, and derived stacks, are applied to give new insight on cluster algebra, Lagrangians, trace theories, loop spaces, structured surfaces, stability, ind-coherent complexes and 1-affineness showing up in geometric Langlands, branching out to many related topics along the way.

Full Product Details

Author:   Tony Pantev ,  Carlos Simpson ,  Bertrand Toen ,  Michel Vaquie
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   643
Weight:   0.451kg
ISBN:  

9781470415570

ISBN 10:   1470415577
Pages:   323
Publication Date:   30 October 2015
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Lagrangian structures on mapping stacks and semi-classical TFTs by D. Calaque Cluster categories for topologists by J. E. Bergner and M. Robertson Crossed simplicial groups and structured surfaces by T. Dyckerhoff and M. Kapranov A model structure on relative dg-Lie algebroids by G. Vezzosi Multiple derived Lagrangian intersections by O. Ben-Bassat Sheaves of categories and the notion of 1-affineness by D. Gaitsgory Trace theories and localization by D. Kaledin Non-semistable exceptional objects in hereditary categories: Some remarks and conjectures by G. Dimitrov and L. Katzarkov Ind-coherent complexes on loop spaces and connections by A. Preygel

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Author Information

Tony Pantev, University of Pennsylvania, Philadelphia, PA, USA. Carlos Simpson, Universite Nice Sophia Antipolis, France. Bertrand Toen, Universite de Montpellier 2, France. Michel Vaquie, Universite Paul Sabatier, Toulouse, France. Gabriele Vezzosi, Universita degli Studi di Firenze, Italy.

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