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TZID:Asia/Jerusalem
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DTSTART:20151025T020000
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UID:calendar.52623.field_date.0@mathematics.huji.ac.il
DTSTAMP:20191117T004537Z
CREATED:20180212T230012Z
DESCRIPTION:Date: \n\n11:00am to 12:45pm\n\n\n\n\nSee also: Topology & Ge
ometry\, Events & Seminars\, SeminarsLocation: \n\nRoss building\, Hebrew
University (Seminar Room 70A)\n\n\nAbstract: One of the first application
s of model categories was Quillen homology. Building on the notion of Beck
modules\, one defines the cotangent complex of an associative or commutat
ive (dg)-algebras as the derived functor of its abelianization. The latter
is a module over the original algebra\, and its homology groups are calle
d the (Andre'-)Quillen homology. The caveat of this approach is that the c
otangent complex is not defined as a functor on the category of all algebr
as. To remedy this\, Lurie's 'cotangent complex formalism' (Higher Algebra
& 7) uses the 00-categorical Grothendieck construction and gives a genera
l treatment for the cotangent complex of an algebra over a (coherent) 00-o
perad. \nIn this talk I will propose a way to parallel Lurie's approach us
ing model categories which is based on the model-categorical Grothendieck
construction as developed by Yonatan Harpaz and myself. In particular\, we
will see that the cotangent complex of an algebra over a (dg)-operad\, ma
y be defined as the total derived functor of a left Quillen functor. At th
e cost of restricting the generality\, our approach offers a simplificatio
n to that of Lurie in that one can avoid carrying a significant amount of
coherent data. \nI will assume basic familiarity with model categories but
not much more. \nThis is a joint work with Yonatan Harpaz and Joost Nuite
n. \n\n Export\n \n\n \nsubscribe iCal
DTSTART;TZID=Asia/Jerusalem:20160120T110000
DTEND;TZID=Asia/Jerusalem:20160120T124500
LAST-MODIFIED:20191104T000057Z
SUMMARY:Topology & geometry\, Matan Prasma (Radboud University)\, 'Model-ca
tegorical cotangent complex formalism'
URL;TYPE=URI:https://mathematics.huji.ac.il/event/topology-geometry-matan-p
rasma-radboud-university-model-categorical-cotangent-complex-0
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