Seminar Event Detail


Topology

Date:  Thursday, March 24, 2022
Location:  3866 East Hall (3:00 PM to 4:00 PM)

Title:  Unordered configuration spaces of surfaces

Abstract:   In this talk we will introduce the ordered and unordered configuration spaces of a manifold. Our aim is to give an overview of the main classical results and then focus on the Betti numbers in the case of closed surfaces.

The main idea behind the aforementioned results is considering all these spaces simultaneously. The natural maps - that consist in adding or removing a point - will be described. In the second part we will describe the Kriz model for the rational homotopy type of configuration spaces. Using that model and some representation theory, we will compute the Betti and mixed Hodge numbers of the unordered configuration spaces of surfaces.

Files: 7909_Talk Ann Arbor 2022.pdf


Speaker:  Roberto Pagaria
Institution:  Bologna University

Event Organizer:   Nir Gadish    gadish@umich.edu

 

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