WebDerived categories of coherent sheaves on algebraic varieties were originally conceived as technical tools for studying cohomology, but have since become central objects in fields ranging from algebraic geometry to mathematical physics, symplectic geometry, and representation theory. Noncommutative algebraic geometry is based on the idea that ... WebJan 6, 2014 · Bertrand Toën. This text is a survey of derived algebraic geometry. It covers a variety of general notions and results from the subject with a view on the recent developments at the interface with deformation quantization. Final version. To appear in EMS Surveys in Mathematical Sciences.
Gaiotto’s Lagrangian Subvarieties via Derived Symplectic Geometry ...
WebOct 1, 2014 · A derived scheme is a pair X = ( X 0, O X) of a scheme X 0 and a sheaf O X of d g ≤ 0 -algebras on X 0 such that H 0 ( O X) = O X 0 and H i ( O X) is a quasi … WebMay 31, 2024 · Motivated by a study of boundary conditions in mirror symmetry, Gaiotto ( 2016) associated to any symplectic representation of G a Lagrangian subvariety of T∗BunG. We give a simple interpretation of (a generalization of) Gaiotto’s construction in terms of derived symplectic geometry. This allows to consider a more general setting … how to spell hist
An Introduction to Symplectic Topology through Sheaf theory
Subjects: Group Theory (math.GR); Combinatorics (math.CO); Metric … WebMay 19, 2024 · The workshop will survey several areas of algebraic geometry, providing an introduction to the two main programs hosted by MSRI in Spring 2024. It will consist of 7 expository mini-courses and 7 separate lectures, each given by top experts in the field. The focus of the workshop will be the recent progress in derived algebraic geometry ... WebA derived scheme is a pair X =(X0,OX)of a scheme X0and a sheaf OXof dg≤0-algebras on X0such that H0(OX)=OX 0 and Hi(OX)is a quasi-coherent OX 0 -module for every i < 0. … how to spell hit