Beyond formality: Koszul invariants of cdga models and their applications
Moduli and Friends seminar
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Monday 16 March 2026
16:00–17:30*

Alexandru Suciu (Northeastern University and IMAR)Beyond formality: Koszul invariants of cdga models and their applications

Many spaces of interest—nilmanifolds, elliptic configuration spaces, Sasakian manifolds—are not formal, yet admit finite-type cdga models. We show that classical results relating resonance varieties, Alexander invariants, and Chen ranks to cohomology extend to this non-formal setting, with the cohomology ring replaced by the full cdga model. The key tool is Koszul linearization; the main examples are nilpotent Lie algebras and the pure braid groups on the torus.

* Eastern European Time, i.e. UTC+2 in winter and UTC+3 in summer.