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Showing 1 to 5 of 5 for “"Derived algebraic geometry"”.
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Derived algebraic geometry
… is to establish the foundations for a theory of derived algebraic geometry based upon simplicial commutative rings. We define derived versions of schemes, algebraic spaces, and algebraic stacks. Our main result is a derived analogue of Artin's representability theorem, which provides a precise …
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Derived algebraic geometry over En̳-rings
We develop a theory of less commutative algebraic geometry where the role of commutative rings is assumed by En-rings, that is, rings with multiplication parametrized by configuration spaces of points in Rn. As n increases, these theories converge to the derived algebraic geometry of Tobn-Vezzosi …
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Homotopy Topoi and Equivariant Elliptic Cohomology
… foundation for equivariant homotopy theory and derived algebraic geometry. In particular, we obtain the categories of G-spaces, for a topological group G, and E-schemes, for an Einfinity-ring spectrum E , as full topological subcategories of the homotopy topoi associated to sheaves of spaces on …
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Categorification of the Kirwan map
… The approach relies on deep results from derived algebraic geometry. Along the way it is shown that the equivariant category of D-modules with certain support condition is equivalent to the category of D-modules on the quotient. It is then shown that we can associate particular equivariant …
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A COMPARISON BETWEEN GEOMETRIC QUASI-FUNCTORS AND FOURIER-MUKAI FUNCTORS
Nella mia tesi di Dottorato mi sono occupato della relazione tra la più importante classe di funtori tra categorie derivate, ovvero quella dei funtori di Fourier-Mukai, e i quasi-funtori che sono i morfismi nella localizzazione Hqe dalla categoria delle dg categorie rispetto alle …