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Title: Exceptional Structures and Symmetry
Originating Office: IAS
Speaker: Howe, Roger
Issue Date: 13-Aug-2013
Event Date: 13-Aug-2013
Group/Series/Folder: Record Group 8.15 - Institute for Advanced Study
Series 3 - Audio-visual Materials
Location: 8.15:3 EF
Notes: IAS Distinguished Lecture.
Title from opening screen.
Abstract: The idea of symmetry gives people insight into both art and the fundamental structures on which the world is built. The effort to understand the mathematical aspects of symmetry has led to discovery of a variety of exceptional and beautiful mathematical structures, from the discovery in classical times of the Platonic solids, to Lie groups, root systems, the Leech lattice and the sporadic finite groups, of which the largest is the Monster. This talk will survey some of these exceptional structures and discuss relationships between them, with a focus on the 24-cell, a totally unique 4-dimensional regular solid.
Prof Roger Howe received his PhD from the University of California at Berkeley in 1969, and has been a faculty member of Yale University since 1974. He was appointed William R. Kenan Jr. Professor of Mathematics in 2002. His mathematical research investigates symmetry and its applications. He is well-known for his contributions to representation theory, and in particular for the notion of a reductive dual pair, sometimes known as a Howe pair. He is a Fellow of the American Academy of Arts and Sciences and a Member of the US National Academy of Sciences.
Duration: 81 min.
Appears in Series:8.15:3 - Audio-visual Materials
Videos for Public -- Distinguished Lectures