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Introduction to Spectral Sequences III

Vincenzo Cambò
Institution: 
SISSA
Location: 
A-136
Schedule: 
Tuesday, May 13, 2014 - 16:30 to 18:00
Abstract: 

In this talk we show some applications of the general theory of the spectral sequences associated to a double complex. Namely, we provide an alternative proof both of the isomorphism between Cech cohomology and DeRham cohomology for smooth manifolds, and, after studying the spectral sequence associated of a resolution of a sheaf on a paracompact space, of the Derham abstract theorem. Then, we construct the spectral sequence of a fibred space and we prove the Kunneth theorem for compact topological manifolds. If time allows, we take a look at the spectral sequence of a fibre bundle.

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