BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Spherical scissors congruence K-theory - Inbar Klang (Vrije Univer
 siteit Amsterdam)
DTSTART:20250617T130000Z
DTEND:20250617T140000Z
UID:TALK230683@talks.cam.ac.uk
DESCRIPTION:Scissors congruence is the study of polytopes\, up to the rela
 tion of cutting into finitely many pieces and rearranging the pieces. This
  can be done in Euclidean\, spherical\, or hyperbolic geometry. In the 201
 0s Zakharevich defined a "higher" version of scissors congruence\, where w
 e don't just ask whether two polytopes are scissors congruent\, but also a
 bout the space of scissors congruences between polytopes. Zakharevich's de
 finition is a form of algebraic K-theory.\n&nbsp\;\nClassically\, Sah defi
 ned Hopf algebra and comodule structures on various scissors congruence gr
 oups. In this talk\, I will focus on scissors congruence K-theory of spher
 ical geometry. Specifically\, I will discuss joint work with Josefien Kuij
 per\, Cary Malkiewich\, David Mehrle\, and Thor Wittich\, in which we upgr
 ade Sah's structure to a commutative Hopf algebra structure on the (reduce
 d) spherical scissors congruence K-theory spectrum.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR