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Stacks and Categories in Geometry, Topology, and Algebra
 
Edited by: Tony Pantev University of Pennsylvania, Philadelphia, PA
Carlos Simpson Université Nice Sophia Antipolis, Nice, France
Bertrand Toën Université de Montpellier 2, Montpellier, France
Michel Vaquié Université Paul Sabatier, Toulouse, France
Gabriele Vezzosi Università degli Studi di Firenze, Firenze, Italy
Stacks and Categories in Geometry, Topology, and Algebra
Softcover ISBN:  978-1-4704-1557-0
Product Code:  CONM/643
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-2568-5
Product Code:  CONM/643.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-1557-0
eBook: ISBN:  978-1-4704-2568-5
Product Code:  CONM/643.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Stacks and Categories in Geometry, Topology, and Algebra
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Stacks and Categories in Geometry, Topology, and Algebra
Edited by: Tony Pantev University of Pennsylvania, Philadelphia, PA
Carlos Simpson Université Nice Sophia Antipolis, Nice, France
Bertrand Toën Université de Montpellier 2, Montpellier, France
Michel Vaquié Université Paul Sabatier, Toulouse, France
Gabriele Vezzosi Università degli Studi di Firenze, Firenze, Italy
Softcover ISBN:  978-1-4704-1557-0
Product Code:  CONM/643
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-2568-5
Product Code:  CONM/643.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-1557-0
eBook ISBN:  978-1-4704-2568-5
Product Code:  CONM/643.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 6432015; 323 pp
    MSC: Primary 14; 18; 55; 57; 81;

    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.

    Readership

    Graduate students and research mathematicians interested in category theory and its applications in algebraic geometry, algebraic topology, representation theory, symplectic geometry, and mathematical physics.

  • Table of Contents
     
     
    • Articles
    • Damien Calaque — Lagrangian structures on mapping stacks and semi-classical TFTs
    • Julia E. Bergner and Marcy Robertson — Cluster categories for topologists
    • T. Dyckerhoff and M. Kapranov — Crossed simplicial groups and structured surfaces
    • Gabriele Vezzosi — A model structure on relative dg-Lie algebroids
    • Oren Ben-Bassat — Multiple derived Lagrangian intersections
    • Dennis Gaitsgory — Sheaves of categories and the notion of 1-affineness
    • D. Kaledin — Trace theories and localization
    • George Dimitrov and Ludmil Katzarkov — Non-semistable exceptional objects in hereditary categories: some remarks and conjectures
    • Anatoly Preygel — Ind-coherent complexes on loop spaces and connections
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 6432015; 323 pp
MSC: Primary 14; 18; 55; 57; 81;

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.

Readership

Graduate students and research mathematicians interested in category theory and its applications in algebraic geometry, algebraic topology, representation theory, symplectic geometry, and mathematical physics.

  • Articles
  • Damien Calaque — Lagrangian structures on mapping stacks and semi-classical TFTs
  • Julia E. Bergner and Marcy Robertson — Cluster categories for topologists
  • T. Dyckerhoff and M. Kapranov — Crossed simplicial groups and structured surfaces
  • Gabriele Vezzosi — A model structure on relative dg-Lie algebroids
  • Oren Ben-Bassat — Multiple derived Lagrangian intersections
  • Dennis Gaitsgory — Sheaves of categories and the notion of 1-affineness
  • D. Kaledin — Trace theories and localization
  • George Dimitrov and Ludmil Katzarkov — Non-semistable exceptional objects in hereditary categories: some remarks and conjectures
  • Anatoly Preygel — Ind-coherent complexes on loop spaces and connections
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.