Prof. Alex Suciu
 
MATH 7375 · Topics in Topology
 
Cohomology Jumping Loci
 
Spring 2010

Mon & Wed 7:30pm to 9pm in 105 RY

* Overview

The cohomology jumping loci of a space X come in two basic flavors: the characteristic varieties (the jump loci for cohomology with coefficients in rank 1 local systems), and the resonance varieties (the jump loci for the homology of the cochain complexes arising from multiplication by degree 1 classes in the cohomology ring of X). The interplay between these varieties leads to new obstructions to formality and (quasi-) projectivity, and informs on the homological finiteness properties of various spaces and groups.

* References


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Home Started:  December 18, 2009
Last modified:  January 16, 2010
www.northeastern.edu/suciu/MATH7375/toptop.sp10.html