Zobrazeno 1 - 10
of 102
pro vyhledávání: '"Vezzosi, G."'
In this paper we establish a precise comparison between vanishing cycles and the singularity category of Landau-Ginzburg models over a complete discrete valuation ring. By using noncommutative motives, we first construct a motivic $\ell$-adic realiza
Externí odkaz:
http://arxiv.org/abs/1607.03012
Autor:
Toën, B., Vezzosi, G.
Building on recent results by A. Blanc, M. Robalo and the authors, we present an $\ell$-adic trace formula for smooth and proper dg-categories over a base $\mathbb{E}_{\infty}$-algebra $B$. We also give a variant when $B$ is only an $\mathbb{E}_2$-al
Externí odkaz:
http://arxiv.org/abs/1605.08941
Autor:
Pantev, T., Vezzosi, G.
We review recent results and ongoing investigations of the symplectic and Poisson geometry of derived moduli spaces, and describe applications to deformation quantization of such spaces.
Comment: Notes written for the proceedings of the AMS summ
Comment: Notes written for the proceedings of the AMS summ
Externí odkaz:
http://arxiv.org/abs/1603.02753
Publikováno v:
Journal of Topology, Volume 10, Issue 2, June 2017, Pages 483-584
This paper is the sequel to [PTVV] (IHES Vol. 117, 2013). We develop a general and flexible context for differential calculus in derived geometry, including the de Rham algebra and polyvector fields. We then introduce the formalism of formal derived
Externí odkaz:
http://arxiv.org/abs/1506.03699
This is the first of a series of papers about \emph{quantization} in the context of \emph{derived algebraic geometry}. In this first part, we introduce the notion of \emph{$n$-shifted symplectic structures}, a generalization of the notion of symplect
Externí odkaz:
http://arxiv.org/abs/1111.3209
Autor:
Toen, B., Vezzosi, G.
This is a companion paper our previous submission "\infty-categories monoidales rigides et caracteres de Chern", in which we give a comparison between functions on the derived loop space of a smooth scheme of caracteristic zero, and its algebraic de
Externí odkaz:
http://arxiv.org/abs/0904.3256
Autor:
Toen, B., Vezzosi, G.
The purpose of this work is to provide details about the construction of the Chern character for categorical sheaves mentioned in our previous work "Chern character, loop spaces and derived algebraic geometry". For this, we introduce and study the no
Externí odkaz:
http://arxiv.org/abs/0903.3292
Autor:
Toën, B., Vezzosi, G.
In this note we present a work in progress whose main purpose is to establish a categorified version of sheaf theory. We present a notion of derived categorical sheaves, which is a categorified version of the notion of complexes of sheaves of modules
Externí odkaz:
http://arxiv.org/abs/0804.1274
Publikováno v:
In Journal of Electromyography and Kinesiology 2007 17(4):515-526
Autor:
Marco Maggesi, Vezzosi, G.
Publikováno v:
Scopus-Elsevier
In this short note, we simply collect some known results about representing algebraic cycles by various kind of "nice" (e.g. smooth, local complete intersection, products of local complete intersection) algebraic cycles, up to rational equivalence. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::905fdfd987d89c7e49597265909e091f
http://hdl.handle.net/2158/1149388
http://hdl.handle.net/2158/1149388