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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Higher Scissors Congruence of Manifolds - Mona Mer
ling (University of Pennsylvania)
DTSTART;TZID=Europe/London:20230613T143000
DTEND;TZID=Europe/London:20230613T153000
UID:TALK200698AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/200698
DESCRIPTION:The classical scissors congruence problem asks whe
ther given two polyhedra with the same volume\, on
e can cut one into a finite number of smaller poly
hedra and reassemble these to form the other. Ther
e is an analogous definition of an SK (German "sch
neiden und kleben\," cut and paste) relation for m
anifolds and classically defined scissors congruen
ce (SK) groups for manifolds. We can actually lift
this to a scissors congruence spectrum which admi
ts a map to the K-theory of Z\, which on pi_0 reco
vers the Euler characteristic map. I will discuss
what this higher homotopical lift of the Euler cha
racteristic sees on the level of pi_1\, and some s
peculative connections with the cobordism category
. This is joint work in part with Hoekzema\, Murra
y\, Rovi and Semikina\, and in part with Raptis an
d Semikina.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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