BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Higher Hopf algebras [MPIM]
DTSTART:20260811T090000Z
DTEND:20260811T103000Z
DTSTAMP:20260813T172700Z
UID:indico-event-1532@math-events.uni-bonn.de
DESCRIPTION:Speakers: Ralph Kaufmann (Purdue/MPIM)\n\nAbstract homotopy se
 minar\nTogether with Galvez-Carilllo and Tonks we established that every s
 implicial set yields a bi-algebra\, whose cubical structure can be underst
 ood via the category of simplicial strings\, aka. necklaces\, using Joyal 
 duality. The reason for the existence is the fact that simplices form an o
 perad and after dualization give a co-operad with multiplication which is 
 the correct input for the GCKT machine.We aim to understand and to constru
 ct strict higher categorical versions of this. The first ingredients are S
 treet’s orientals and a monoidal product explained by Ozornova and Rovel
 li for higher categories defined by polytopes with an initial and a final 
 vertex. Note that even the classical path space argument is actually a tra
 nsition from a 2 to a 1 category. Following the Kapranov-Voevodsky dream t
 he next steps are cubes and permutahedra. For the latter there is is the M
 anin-Schechtman theory of higher Bruhat orders and the relatively new oper
 ad with multiplication structure on them defined by Koshevoy and Schechtma
 n. This project is joint with Ozornova\, Koshevoy and Schechtman.\n \n\nh
 ttps://math-events.uni-bonn.de/event/1532/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1532/
END:VEVENT
END:VCALENDAR