中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
代数拓扑研讨班
Speaker: Inbar Klang (Vrije Universiteit Amsterdam)
Inviter: 邹佛灵
Language: English
Title: Structure on scissors congruence K-theory
Time & Venue: 2026年6月1日（星期一）16：30-17：30 & ZoomID:681 716 9181 Password: 211748
Abstract:
Scissors congruence is the study of polytopes, up to the relation of cutting into finitely many pieces and rearranging the pieces. This can be done in Euclidean, spherical, or hyperbolic geometry. In the 2010s Zakharevich defined a "higher" version of scissors congruence, where we don't just ask whether two polytopes are scissors congruent, but also about the space of scissors congruences between polytopes. Zakharevich's definition is a form of algebraic K-theory.
Classically, Sah defined Hopf algebra and comodule structures on various scissors congruence groups. In this talk, I will discuss joint work with Josefien Kuijper, Cary Malkiewich, David Mehrle, and Thor Wittich, in which we upgrade Sah's structures to Hopf algebra and comodule structures on scissors congruence K-theory spectra.
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