Free Shelves: Connecting Representations of Braid Groups and Forcing over Models with Reinhardt Embeddings

Abstract: Set Theory often seems very disconnected from other pure math topics like Algebra and Representation Theory. However, if we look closer we can often find deep connections between these fields. In this talk we explore the connection between I3 embeddings, representations of Braid Groups, and set theoretic forcing by searching for examples of a free Shelf (or Left Distributive Magma). Highlighting how shelves arise out of I3 embeddings and out of algebra, showing that I3 embeddings provide examples of free shelves, and the necessity of these free shelves for forcing over models with Reinhardt embeddings.

This talk will not go into formal detail on the involved set theory, instead focusing on pictorial motivations and general concepts. As a result this talk should be accessible to all!

Mathematics

Audience: researchers in the topic

ANTLR seminar

Series comments: This is the Algebra, Number Theory, Logic and Representation theory seminar.