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SUMMARY:The Loday Construction on Hopf Algebras
DTSTART:20191125T101500
DTEND:20191125T111500
DTSTAMP:20260507T002316Z
UID:ee1512dcf5ad64677301f85a18601d5fe4cbb4aef3fcfae837c42f34
CATEGORIES:Conferences - Seminars
DESCRIPTION:Alice Hedenlund\, Universitetet i Oslo\nTopological Hochschil
 d homology can be viewed as a special case of the more general Loday const
 ruction. This is known to not be a stable invariant using a counterexample
  by Dundas-Tenti employing the stably splitting of a torus into a wedge of
  spheres. However\, while stability for the Loday construction does not ho
 ld in general\, extra structure on the input ring spectrum can guarantee s
 tability nonetheless. For example\, Berest-Ramadoss-Yeung proved that stab
 ility holds for Hopf algebras by relating the Loday construction to repres
 entation homology. In this talk I will explain a direct categorical proof 
 of this fact\, which avoids representation homology\, using the framework 
 of infinity categories. The result is part of a “Women in Topology” pr
 oject on the stability of the Loday construction together with S. Klanderm
 an\, A. Lindenstrauss\, B. Richter\, and F. Zou.
LOCATION:MA A1 10 https://plan.epfl.ch/?room==MA%20A1%2010
STATUS:CONFIRMED
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