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Christin Bibby: A generating function approach to new representation stability phenomena in orbit configuration spaces

February 2 at 16:0017:00 CET

Oberseminar Algebra und Geometrie

Talk by Christin Bibby (Louisiana State University)

A generating function approach to new representation stability phenomena in orbit configuration spaces

Abstract: As countless examples show, it can be fruitful to study a sequence of complicated objects all at once via the formalism of generating functions. We apply this point of view to the homology and combinatorics of orbit configuration spaces: using the notion of twisted commutative algebras, which essentially categorify exponential generating functions. This idea allows for a factorization of the orbit configuration space “generating function” into an infinite product, whose terms are surprisingly easy to understand. Beyond the intrinsic aesthetic of this decomposition and its quantitative consequences, it reveals a sequence of primary, secondary, and higher representation stability phenomena. This is joint work with Nir Gadish.

Details

Date:
February 2
Time:
16:00 – 17:00 CET
Website:
https://www.uni-frankfurt.de/49952640/Aktuelles

Venue

Frankfurt and Zoom

Organizers

Alex Küronya
Martin Möller
Jakob Stix
Martin Ulirsch
Annette Werner