The van Est homomorphism for strict Lie 2-groups and algebras

by Camilo Angulo

Thursday 6 Jun 2024, 10:15 → 11:45 Europe/Zurich

Sitzungszimmer (MI)

We construct a van Est map from the Bott-Shulman double complex of a strict Lie 2-group to the Weil algebra of its associated strict Lie 2-algebra and prove that, under appropriate connectedness assumptions, this map induces isomorphisms in cohomology. If time permits, as an application, we differentiate the Segal 2-form on the loop group.