Event Information

Topology Seminar: Roman Golovko

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Date
20-May-16
Time
15:30-17:00
Venue
Seminar Room 201, Main Biulding
Speaker
Roman Golovko (Alfred Renyi Institute of Mathematics)
Title
On the homological Arnold chord conjecture
Abstract

In 1986, V.I. Arnold formulated a conjecture which up to this day is remarkably little understood. It concerns the dynamics of a Reeb flow in relation to a Legendrian submanifold. More precisely, it says that for a horizontally displaceable Legendrian submanifold L of the contactization of a Liouville manifold, the number of Reeb chords on L is bounded from below by half of the Betti numbers of L. We will discuss several recent contributions to this conjecture and the way to prove its generalization when L admits an exact Lagrangian filling.

This is joint work with G. Dimitroglou Rizell.

Update : April 27, 2016

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