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PRODID:-//Northeastern Topology Seminar//NONSGML v1.0//EN
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SUMMARY:Alex Suciu: Cohomology\, Bocksteins\, and resonance
DTSTART:20220927T203000Z
DTEND:20220927T213000Z
DTSTAMP:20220916T193619Z
LAST-MODIFIED:20220916T193619Z
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DESCRIPTION:Abstract: We use the action of the Bockstein homomorphism on the mod 2 cohomology ring of a finite-type CW-complex in order to define its resonance varieties in characteristic 2. Much of the theory is done in the more general framework of the Maurer-Cartan sets and the resonance varieties attached to a finite-type commutative differential graded algebra in arbitrary characteristic. We illustrate these concepts with examples mainly drawn from closed manifolds\, where Poincar\\'e duality over Z_2 has strong implications on the nature of the resonance varieties.
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