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001			292987
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008			150903s2010 sz | o |||| 0|eng d
020			_a9783034800525 _99783034800525
024	7		_a10.1007/9783034800525 _2doi
035			_avtls000345241
039		9	_a201509030345 _bVLOAD _c201405050318 _dVLOAD _y201402061331 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA169
100	1		_aMoerdijk, Ieke. _eautor _9325194
245	1	0	_aSimplicial Methods for Operads and Algebraic Geometry / _cby Ieke Moerdijk, Bertrand Toën.
264		1	_aBasel : _bSpringer Basel, _c2010.
300			_ax, 186 páginas _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aAdvanced Courses in Mathematics - CRM Barcelona
500			_aSpringer eBooks
505	0		_aLectures on Dendroidal Sets -- Operads -- Trees as operads -- Dendroidal sets -- Tensor product of dendroidal sets -- A Reedy model structure on dendroidal spaces -- Boardman–Vogt resolution and homotopy coherent nerve -- Inner Kan complexes and normal dendroidal sets -- Model structures on dendroidal sets -- Simplicial Presheaves and Derived Algebraic Geometry -- Motivation and objectives -- Simplicial presheaves as stacks -- Algebraic stacks -- Simplicial commutative algebras -- Derived stacks and derived algebraic stacks -- Examples of derived algebraic stacks.
520			_aThis book is an introduction to two higher-categorical topics in algebraic topology and algebraic geometry relying on simplicial methods. Moerdijk’s lectures offer a detailed introduction to dendroidal sets, which were introduced by himself and Weiss as a foundation for the homotopy theory of operads. The theory of dendroidal sets is based on trees instead of linear orders and has many features analogous to the theory of simplicial sets, but it also reveals new phenomena. For example, dendroidal sets admit a closed symmetric monoidal structure related to the Boardman–Vogt tensor product of operads. The lecture notes start with the combinatorics of trees and culminate with a suitable model structure on the category of dendroidal sets. Important concepts are illustrated with pictures and examples. The lecture series by Toën presents derived algebraic geometry. While classical algebraic geometry studies functors from the category of commutative rings to the category of sets, derived algebraic geometry is concerned with functors from simplicial commutative rings (to allow derived tensor products) to simplicial sets (to allow derived quotients). The central objects are derived (higher) stacks, which are functors satisfying a certain up-to-homotopy descent condition. These lectures provide a concise and focused introduction to this vast subject, glossing over many of the technicalities that make the subject’s research literature so overwhelming. Both sets of lectures assume a working knowledge of model categories in the sense of Quillen. For Toën’s lectures, some  background in algebraic geometry is also necessary.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aToën, Bertrand. _eautor _9325195
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9783034800518
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-0348-0052-5 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c292987 _d292987