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
著者
書誌事項
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
（Contemporary mathematics, 643）
American Mathematical Society, c2015
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CATS4
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注記
Other editors: Carlos Simpson, Bertrand Toën, Michel Vaquié, Gabriele Vezzosi
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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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