Seminar Event Detail


Topology

Date:  Thursday, February 11, 2021
Location:  Virtual (3:00 PM to 4:00 PM)

Title:  Secondary homological stability and periodic homological stability for unordered configuration spaces

Abstract:   Secondary homological stability is a recently discovered stability pattern for the homology of a sequence of spaces exhibiting homological stability in a range where homological stability does not hold. We prove secondary stability for unordered configuration spaces of manifolds. The main difficulty is the compact case (the non-compact case was previously known by some experts). In the compact case, there are no obvious stabilization maps and the homology does not stabilize but is periodic. We resolve this issue by constructing a chain-level stabilization map for configuration spaces of compact manifolds.

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Speaker:  Zachary Himes
Institution:  Purdue University

Event Organizer:   Linh Truong   

 

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