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University Park
Altoona

Thursday, April 17, 2008
5:00 pm, 106 McAllister

David Hurtubise
Penn State

Multicomplexes and spectral sequences

Abstract: A multicomplex is a bigraded R-module X_pq with homomorphisms d_i:X_pq ---> X_p-i,q+i-1 such that \sum_{i+j = n} d_i d_j = 0 for all n. A multicomplex can often be assembled to form a chain complex (C,d) where the differential is given by the sum d = d_0 + d_1 + ... A bicomplex is an example of a multicomplex where d_i = 0 for all i > 1.

A multicomplex determines at least two different spectral sequences. I will discuss these two spectral sequences
and the relationship to the spectral sequence determined by a filtration of the associated chain complex.

We meet weekly on Thursday afternoons, with the third meeting of each month in Altoona. If you are interested in giving a talk in our seminar please contact one of the coordinators for the Fall 2007 semester: Young Choi and Aissa Wade.

 

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