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Penn State's John Roe to Give October 26 Math Colloquium

Oct. 24, 2012

Professor John Roe, from Penn State University, will give a colloquium lecture "The Naked Homeomorphism: The Mysterious Topology of Ordinary Space" on Friday, October 26 at 3:30 pm in SR 207.

John Roe
John Roe

Dr. Roe earned his bachelor's and master's degrees from Cambridge University and his doctorate, in 1985, from Oxford University. His Ph.D. supervisor was Sir Michael Atiyah. John has been a faculty member in the Departmnet of Mathematics at Penn State since 1998 and recently finished a (long) stint as Chair of the department.

A reception for Dr. Roe will be held at 3:00 pm in SR 318. All students and faculty are welcome!

Title: The Naked Homeomorphism: The Mysterious Topology of Ordinary Space

Abstract

The title comes from a famous survey paper by Larry Siebenmann, "Topological Manifolds". The theme is two-fold...(a) mysterious phenomena (e.g. space-filling curves, the Alexander horned sphere) which manifest themselves when we move from talking about differentiable functions to just about continuous ones, and (b) the fact that these "monsters" actually, in the end, make the topological "zoo" a place of greater order and beauty than the differentiable one.