Ph.D. and Young Researchers Seminars at University of Padova
Ph.D. and Young Researchers Seminars at University of Padova
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The main aim of Mic Seminars is to bring together young mathematicians from different universities. It provides an informal context to share knowledge and ideas, and to build social networks within the different mathematical communities.
We are back from the Christmas break! The next talk is on the 27th of January at 17:00, in room 2AB40.
We are back from the Christmas break! The next talk is on the 27th of January at 17:00, in room 2AB40.
Speaker: Anastasios Fotiadis (Université Claude-Bernard-Lyon-I)
Title: Continuous cohomology of contact vector fields
Speaker: Anastasios Fotiadis (Université Claude-Bernard-Lyon-I)
Title: Continuous cohomology of contact vector fields
Abstract: In this talk, we prove the vanishing of the first and second continuous cohomology groups of the Lie algebra of contact vector fields. In particular, the vanishing of the second cohomology group yields a complete classification of its continuous central extensions.
We first introduce the necessary tools from the theory of locally convex spaces to explain the Frèchet structure on this Lie algebra. We then determine its cohomology via a local-to-global strategy. This is carried out in two steps: first we focus on a local model involving compactly supported vector fields and then using a gluing argument to extend the result globally.
This is joint work with Bas Janssens, Cornelia Vizman and Stefan Haller.
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