TETRAHEDRAL GEOMETRY/TOPOLOGY SEMINAR

Friday, December 4th, 2009, 4:30 p.m. at Hempfield High School, Room 213


David Hurtubise, Penn State Altoona

“Different approaches to the Morse-Bott inequalities ”

ABSTRACT: The classical proof of the Morse-Bott inequalities uses what Bott called the "half-space" method and the Thom isomorphism theorem with local coefficients. When certain bundles associated to the critical submanifolds are orientable, the classical proof yields the Morse-Bott inequalities without local coefficients. A new proof of the Morse-Bott inequalities without local coefficients was recently found by Banyaga and Hurtubise using the Morse-Smale-Witten complex and an explicit perturbation technique. Surprisingly, this new proof requires different orientation assumptions than the classical proof of the Morse-Bott inequalities without local coefficients.

 

Fall 2009 Speakers

September 4 : Andrey Glubokov, Millersville University

October 2 : Leigh Cobbs, Lebanon Valley College

November 6 : Zhigang Han, Millersville University

December 4: David Hurtubise, Penn State University at Altoona

 

Seminar meetings typically occur at 4:30 p.m. on the first Friday of each month in room 213 of the Hempfield High School Math Department

Directions to Hempfield High School

Abstract archive

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