Workshop on Recent Developments in Symplectic Dynamics

Helicity as a Foliated Cobordism Invariant 1

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 Oliver Edtmair.
 

Date & Time

November 03, 2026 | 10:00am – 11:00am
Add to calendar 11/03/2026 10:00 11/03/2026 11:00 Workshop on Recent Developments in Symplectic Dynamics use-title Topic: Helicity as a Foliated Cobordism Invariant 1 Speakers: Sobhan Seyfaddini , ETH-Zürich More: https://www.ias.edu/math/events/workshop-recent-developments-symplectic-dynamics-5 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 Oliver Edtmair.   Simonyi Hall 101 a7a99c3d46944b65a08073518d638c23

Location

Simonyi Hall 101

Speakers

Sobhan Seyfaddini , ETH-Zürich

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