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Wednesday, September 29, 2021
12:00 PM - 1:00 PM
Online Event

Logic Seminar

Jumps in the Borel complexity hierarchy
Samuel Coskey, Department of Mathematics, Boise State University,

There are several well-studied "jumps" on the class of Borel equivalence relations under Borel reducibility, namely, the Friedman-Stanley jump and the family of Louveau jumps. In joint work with John Clemens, we defined a new(ish) family of jumps called Bernoulli jumps. In this talk I will introduce and describe Bernoulli jumps, and present an application to the classification of countable scattered orders. I will conclude by summarizing some recent developments (due to Shani and Allison) on Bernoulli jumps.