Stacks and categories in geometry, topology, and algebra : CATS4 Conference Higher Categorical Structures and their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, July 2-7, 2012, CIRM, Luminy, France

Author(s)

• Pantev, Tony
• Simpson, Carlos
• Toën, Bertrand
• Vaquié, Michel
• Vezzosi, Gabriele

Bibliographic Information

Stacks and categories in geometry, topology, and algebra : CATS4 Conference Higher Categorical Structures and their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, July 2-7, 2012, CIRM, Luminy, France

Tony Pantev ... [et al.], editors

（Contemporary mathematics, 643）

American Mathematical Society, c2015

Other Title

CATS4

Note

Other editors: Carlos Simpson, Bertrand Toën, Michel Vaquié, Gabriele Vezzosi

Includes bibliographical references

Description and Table of Contents

Description

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.

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

by "Nielsen BookData"

Details

• NCID: BB19058710
• ISBN:
  • 9781470415570
• LCCN: 2014048031
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.
• Pages/Volumes: viii, 323 p.
• Size: 26 cm
• Classification:
  • LCC : QA564
  • DC23 : 516.3/5
• Subject Headings:
  • LCSH : Algebraic stacks -- Congresses
  • LCSH : Algebraic topology -- Congresses
  • LCSH : Geometry -- Congresses
  • LCSH : Algebra -- Congresses
• Parent Bibliography ID:
  • BA00009927