Naslov
Categories of sheaves and generalizations

Autori
Škoda, Zoran

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
Topology seminar Zagreb-Ljubljana, Zagreb,

Mjesto i datum
Zagreb, Hrvatska, 11.12.2004

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
sheaf; quasicoherent sheaf; Grothendieck topology; topos; localization

Sažetak
Generalizations and analogues of topological spaces, for example noncommutative spaces, spaces with structures, algebraic spaces, bad quotients, may be alternatively described by an analogue of a category of sheaves on a topological space. For example, Serre's theorem on proj of a graded ring and Gabriel-Rosenberg theorem on reconstruction of schemes show this philosophy. We outline a landscape of such theories from derived algebraic geometry to noncommutative algebraic geometry, where the geometric and topological considerations are done from the perspective of (generalized) sheaf theory.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA