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Mathematics Colloquium


Date:  Tuesday, April 05, 2016

Title:  Sumner Myers Prize: Developments in entropy theory

Abstract:  Within the field of dynamics, entropy is a real-valued isomorphism invariant which measures the amount of chaos or complexity in certain systems. It was first introduced by Kolmogorov in 1958 for measure-preserving actions of the integers on probability spaces, and then extended to actions of countable amenable groups in 1975. Following a surprising breakthrough by Lewis Bowen in 2008, a new research program now centers on extending entropy theory to actions of non-amenable groups. In this talk, I will review some of the history of classical entropy theory, motivate this new research program, and mention some recent results.

Speaker:  Brandon Seward
Institution:  The Hebrew University of Jerusalem


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