Stacks And Categories In Geometry, Topology, And Algebra (contemporary Mathematics)
by Tony Pantev /
2015 / English / PDF
2 MB Download
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.
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.
