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Workshop

Cohomology jump loci, Poincaré duality, and Pfaffians

  • Alexandru Suciu (Northeastern University)
E1 05 (Leibniz-Saal)

Abstract

The cohomology jump loci of a space are of several types: the characteristic varieties, defined in terms of homology with coefficients in rank one local systems; the resonance varieties, constructed from information encoded in the cohomology ring; and the complements to the Bieri-Neumann-Strebel-Renz invariants, which are defined in terms of Novikov-Sikorav homology. In this talk, I will explore the geometry of these sets and the delicate interplay between them, especially in the context of compact, orientable 3-manifolds, where Poincaré duality and Pfaffians play an important role.

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Mirke Olschewski

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Daniele Faenzi

Université de Bourgogne, CNRS

Joshua Maglione

Otto-von-Guericke-Universität

Mima Stanojkovski

Università di Trento