Higher Kiss terms for modular varieties

Abstract: We explain how the 4-ary Kiss term for a modular variety can be composed with itself to produce an infinite sequence of terms, each having a connection to a particular arity higher commutator that mimics the connection that the Kiss term has to the binary modular commutator. We will then discuss how these terms can be used to show that there is a greatest clone among those that share a sequence of Day terms, congruences, and higher commutator operations.

computational complexitycategory theorylogic

Audience: researchers in the topic

PALS Panglobal Algebra and Logic Seminar

Series comments: The PALS seminar is a research and learning seminar organized by the algebra and logic research group of the Department of Mathematics at the University of Colorado at Boulder. The scope of the seminar includes all topics with links to algebra, logic, or their applications, like general algebra, logic, model theory, category theory, set theory, set-theoretic topology, or theoretical computer science. Please contact one of the organizers for the Zoom password, to join the mailing list or if you want to speak.