Scott Cramer: Algebraic properties of elementary embeddings

Time: Mon, 12/04/2017 – 4:00pm – 5:30pm
Location: RH 440R

Speaker: Scott Cramer (California State University San Bernardino)

Title: Algebraic properties of elementary embeddings

Abstract. We will investigate algebraic structures created by rank-into-rank elementary embeddings. Our starting point will be R. Laver’s theorem that any rank-into-rank embedding generates a free left-distributive algebra on one generator. We will consider extensions of this and related results. Our results will lead to some surprisingly coherent conjectures on the algebraic structure of rank-into-rank embeddings in general.

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