Cовместный коллоквиум Международного математического институту им. Л.Эйлера и факультета МКН “The Bousfield Kan completion as an infinity terminal monad”
Во вторник, 09 сентября, в 17:30
ауд. 201, 14-я линия В.О., 29 + Zoom (302) 675-315-555
состоится совместный коллоквиум Международного математического института им. Л.Эйлера и факультета МКН
Prof. Emmanuel Dror Farjoun (Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Israel) “The Bousfield Kan completion as an infinity terminal monad”.
We give a universal property of the well-known Bousfield-Kan R-homology completion functor. Further, it turns out that in any nice infinity category one can associate with every monad M, a completion functor which is characterized as a terminal monad that preserves the image of the give monad M. In addition, we consider the concept of M-nilpotent objects, and pro-M-nilpotent completion. This extends the main properties of the classical BK construction to generalized homology theories, equivariant homology and beyond.
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