Pregled bibliografske jedinice broj: 211357
Equivariant sheaves and torsors beyond groupoids
Equivariant sheaves and torsors beyond groupoids // 7th Conference on Geometry and Topology of Manifolds The Mathematical Legacy of Charles Ehresmann the hundredth anniversary of Charles Ehresmann’ ; ; s birthday
Będlewo, Poljska, 2005. (predavanje, nije recenziran, sažetak, znanstveni)
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Naslov
Equivariant sheaves and torsors beyond groupoids
Autori
Škoda, Zoran
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
7th Conference on Geometry and Topology of Manifolds The Mathematical Legacy of Charles Ehresmann the hundredth anniversary of Charles Ehresmann’ ; ; s birthday
Mjesto i datum
Będlewo, Poljska, 08.05.2005. - 15.05.2005
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
equivariant sheaf; groupoid; Hopf algebra; 2-categories; fibered categories
Sažetak
In my earlier work in noncommutative geometry I introduced analogues of torsors for coactions of Hopf algebras on nonaffine noncommutative spaces. A puzzling class of 'big' examples called for nonflat descent, which should be replaced for geometric purposes by (derived) descent -- up to higher homotopies. Combinatorially, similar higher cocycles appear also in the study of descent for weak actions of categorical groups (in ordinary "commutative" geometry) and bigroupoids. These objects are relevant for study of "differential geometry of gerbes" now popular in geometry and physics. The notion of equivariant sheaf in this setup is far more involved than in 1-categorical situation. I will outline our work in progress concerning these ideas.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Napomena
Abstract je objavljen u zborniku abstracta (proljece 2005) i tema prihvacena za izlaganje, no samo predavanje/putovanje nije odrzano zbog bolesti predavaca. Prilozi za zbornik radova tek slijede.
