Workshop on Recent Developments in Symplectic Dynamics

Helicity as a Foliated Cobordism Invariant 2

Helicity is an invariant of smooth volume-preserving vector fields on a 3-manifold. Arnold asked whether helicity admits an extension to $C^0$ volume-preserving flows. In previous work, we constructed such an extension for a large class of $C^0$ flows.

In these talks, we explain a geometric interpretation of helicity as a foliated cobordism invariant, both in the smooth and $C^0$ settings. Based on joint work with Sobhan Seyfaddini.
 

Date & Time

November 03, 2026 | 11:30am – 12:30pm
Add to calendar 11/03/2026 11:30 11/03/2026 12:30 Workshop on Recent Developments in Symplectic Dynamics use-title Topic: Helicity as a Foliated Cobordism Invariant 2 Speakers: Oliver Edtmair, Institute for Advanced Study More: https://www.ias.edu/math/events/workshop-recent-developments-symplectic-dynamics-6 Helicity is an invariant of smooth volume-preserving vector fields on a 3-manifold. Arnold asked whether helicity admits an extension to $C^0$ volume-preserving flows. In previous work, we constructed such an extension for a large class of $C^0$ flows. In these talks, we explain a geometric interpretation of helicity as a foliated cobordism invariant, both in the smooth and $C^0$ settings. Based on joint work with Sobhan Seyfaddini.   Simonyi Hall 101 a7a99c3d46944b65a08073518d638c23

Location

Simonyi Hall 101

Speakers

Oliver Edtmair, Institute for Advanced Study

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