Research Talks
Upcoming talks
(Paris, France) Extremal Lagrangian tori in toric domains, Symplectix seminar, Séminaire de topologie symplectique (March 7, 2025)
Abstract: The symplectic area of a Lagrangian submanifold L of a symplectic manifold is defined to be the minimal positive symplectic area of a smooth 2-disk with boundary on L. An extremal Lagrangian torus is a Lagrangian torus that maximizes the symplectic area among the Lagrangian tori. In this talk, I will explain that every extremal Lagrangian torus in the standard symplectic unit ball is entirely contained in the boundary of the ball. This answers a question attributed to Lazzarini and settles a conjecture of Cieliebak and Mohnke in the affirmative.
Selected talks
(Strasbourg, France) Extremal Lagrangian tor in toric domains, Séminaire géométrie et applications, Université de Strasbourg (Febuary 10, 2025)
(Uppsala, 2024) Extremal Lagrangian tori in convex toric domains, University of Uppsala, Sweden
(Augsburg, 2023) Extrinsic geometry of extremal Lagrangian tori in convex toric domains, University of Augsburg, Germany.
(Berlin, 2024) Stabilized symplectic embedding problems of ellipsoids, Humboldt University of Berlin
(Notes) McDuff-Siegel symplectic capacities, Research seminar on symplectic geometry, Feb 2023, HU, Berlin, Germany. ( McDuff-Siegel)
(Notes) The Lagrangian capacity of convex toric domains: a conjecture of Cieliebak-Mohnke, Research seminar on symplectic geometry, Feb 2023, HU, Berlin, Germany. (Pereira, Cieliebak-Mohnke)
Equivalence of ellipsoidal and local tangency constraints for pseudo-holomorphic curves, Research seminar on symplectic geometry, June 2022, HU, Berlin, Germany. (Section 4.1 in McDuff-Siegel)
(Slides) On counting pseudo-holomorphic spheres with a Reeb orbit asymptotic on a skinny ellipsoid, Research seminar on symplectic geometry, February 2022, HU Berlin, Germany.
Equivalences for Morse homology: a paper by Matthias Schwarz, February 2022, HU Berlin, Germany. (Reference)
H-principle for open diffeomorphism invariant differential relations and its applications, May 2021, HU Berlin.
Novikov Rings and Floer homology for non-aspherical symplectic manifolds, Floer Homology Seminar, Humboldt University, Berlin, November 19, 2019.
(Slides) Ergodic decomposition of invariant measures, working group seminar on symplectic geometry, University of Augsburg, Germany, May 18, 2020.
Expository talks:
(talk1, talk2) Minicourse on direct methods in the calculus of variations at Maths Volunteers Foundation, October 2022.
( Slides) Holomorphic curves in symplectic topology, BMS- BGSMath Junior Meeting, Barcelona, Spain.
Local structure of fractals, November 2021, HU, Berlin.