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The loop space homotopy type of highly connected Poincaré Duality complexes

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: 03/10/2018 18:00
: 03/10/2018 19:00
Ciencias, Investigación

3 octubre 2018: Seminario de Análisis, 18:00-19:00

Conferenciante: Stephen Theriault, University of Southampton

Título: The loop space homotopy type of highly connected Poincaré Duality complexes

Resumen: The talk will present a framework for determining the homotopy type of the based loops on certain spaces. The methods will be applied to give a thorough analysis of the based loops on (n-1)-connected 2n-dimensional Poincaré Duality complexes, and the based loops on (n-1)-connected(2n+1)-dimensional Poincaré Duality complexes (a Poincaré Duality complex is a CW-complex whose cohomology satisfies Poincaré Duality).

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