Stacks and catetories in geometry, topology, and algebra : CATS4 Conference on Higher Categorical Structures and Their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, July 2-7, 2012, CIRM, Luminy, France / [electronic resource]
Tony Pantev [and four others], editors.
- 1 online resource (pages cm.)
- Contemporary mathematics, v. 643 0271-4132 (print); 1098-3627 (online); .
Includes bibliographical references and index.
Lagrangian structures on mapping stacks and semi-classical TFTs / Cluster categories for topologists / Crossed simplicial groups and structured surfaces / A model structure on relative dg-Lie algebroids / Multiple derived Lagrangian intersections / Sheaves of categories and the notion of 1-affineness / Trace theories and localization / Non-semistable exceptional objects in hereditary categories: some remarks and conjectures / Ind-coherent complexes on loop spaces and connections / Damien Calaque -- Julia E. Bergner and Marcy Robertson -- T. Dyckerhoff and M. Kapranov -- Gabriele Vezzosi -- Oren Ben-Bassat -- Dennis Gaitsgory -- D. Kaledin -- George Dimitrov and Ludmil Katzarkov -- Anatoly Preygel -- http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12894 http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12895 http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12896 http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12897 http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12898 http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12899 http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12900 http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12901 http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12902
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2015
Mode of access : World Wide Web
9781470425685 (online)
Algebraic stacks--Congresses.
Algebraic topology--Congresses.
Geometry--Congresses.
Algebra--Congresses.
Algebraic geometry -- Families, fibrations -- Stacks and moduli problems.
Algebraic geometry -- (Co)homology theory -- Sheaves, derived categories of sheaves and related constructions.
Category theory; homological algebra -- Abelian categories -- Derived categories, triangulated categories.
Category theory; homological algebra -- Categories with structure -- Double categories, $2$-categories, bicategories and generalizations.
Category theory; homological algebra -- Categories with structure -- Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories.
Category theory; homological algebra -- Homological algebra -- Simplicial sets, simplicial objects (in a category).
Algebraic topology -- Homotopy theory -- Spectra with additional structure ($E_\infty$, $A_\infty$, ring spectra, etc.).
Manifolds and cell complexes -- Differential topology -- Topological quantum field theories.
Algebraic topology -- Applied homological algebra and category theory -- Topological categories, foundations of homotopy theory.
Quantum theory -- Quantum field theory; related classical field theories -- Topological field theories.
QA564 / .S73 2015
516.3/5
Includes bibliographical references and index.
Lagrangian structures on mapping stacks and semi-classical TFTs / Cluster categories for topologists / Crossed simplicial groups and structured surfaces / A model structure on relative dg-Lie algebroids / Multiple derived Lagrangian intersections / Sheaves of categories and the notion of 1-affineness / Trace theories and localization / Non-semistable exceptional objects in hereditary categories: some remarks and conjectures / Ind-coherent complexes on loop spaces and connections / Damien Calaque -- Julia E. Bergner and Marcy Robertson -- T. Dyckerhoff and M. Kapranov -- Gabriele Vezzosi -- Oren Ben-Bassat -- Dennis Gaitsgory -- D. Kaledin -- George Dimitrov and Ludmil Katzarkov -- Anatoly Preygel -- http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12894 http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12895 http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12896 http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12897 http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12898 http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12899 http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12900 http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12901 http://www.ams.org/conm/643/ http://dx.doi.org/10.1090/conm/643/12902
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2015
Mode of access : World Wide Web
9781470425685 (online)
Algebraic stacks--Congresses.
Algebraic topology--Congresses.
Geometry--Congresses.
Algebra--Congresses.
Algebraic geometry -- Families, fibrations -- Stacks and moduli problems.
Algebraic geometry -- (Co)homology theory -- Sheaves, derived categories of sheaves and related constructions.
Category theory; homological algebra -- Abelian categories -- Derived categories, triangulated categories.
Category theory; homological algebra -- Categories with structure -- Double categories, $2$-categories, bicategories and generalizations.
Category theory; homological algebra -- Categories with structure -- Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories.
Category theory; homological algebra -- Homological algebra -- Simplicial sets, simplicial objects (in a category).
Algebraic topology -- Homotopy theory -- Spectra with additional structure ($E_\infty$, $A_\infty$, ring spectra, etc.).
Manifolds and cell complexes -- Differential topology -- Topological quantum field theories.
Algebraic topology -- Applied homological algebra and category theory -- Topological categories, foundations of homotopy theory.
Quantum theory -- Quantum field theory; related classical field theories -- Topological field theories.
QA564 / .S73 2015
516.3/5