Speaker: Joachim Kock (UAB) Title: Infinityoperads as polynomial monads Place: Seminari C3b/158 Date: 22th September at 12:00 Abstract: Lurie's infinityoperads are defined as certain Gammaspaces, in the spirit of MayThomason. A different approach to infinity operads is due to Cisinski and Moerdijk in terms of dendroidal Segal spaces. After outlining these approaches, I will explain a new model for infinityoperads, given in terms of polynomial monads. This provides an infinity version of the classical viewpoint that operads are monoids in the monoidal category of species/analytic functors under the substitution product. Leaving out the technical details, I will explain the ideas behind the proof that the infinitycategory of analytic monads is equivalent to the infinitycategory of dendroidal Segal spaces. This is joint work with David Gepner and Rune Haugseng.
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Speaker: Albert Ruiz (UAB) Title: On the classification of plocal compact groups over a fixed discrete ptoral group. Place: Seminari C1/366 Date: 15th September at 12:00 Abstract: plocal finite groups where defined by BrotoLeviOliver as a generalization of finite groups studied at a prime p. Later on, the same authors, defined plocal compact groups as a generalization of compact Lie Groups at a prime p and pcompact groups. Examples of plocal finite groups which do not correspond to finite groups are known for every prime number p. In the infinite case, very few cases which do not correspond to pcompact groups have been studied. In this talk we will see a classification of plocal compact groups over some special discrete ptoral groups (joint work with Bob Oliver) which include a family of plocal compact groups which are not pcompact groups (joint work with Alex González and Toni Lozano).
