Some selected recent talks that are available online:
- Obstructions to topological relaxation for generic magnetic fields. BIRS Workshop Infinite Dimensional Geometry and Fluids, Banff, Canada, November 2023. June 2022.
- Topology of the nodal sets of eigenfunctions of Schrodinger operators. Workshop Topological Methods in Mathematical Physics, Erice, Sicily, September 2022. June 2022.
- Lagrangian complexity in 3D steady Euler flows. Workshop Small Scale Dynamics in Fluid Motion, Stony Brook, June 2022.
- MHD equilibria in toroidal geometries. Moscow-Paris Dynamical Systems and PDEs Seminar, online, February 2022.
- The many facets of complexity of Beltrami fields in Euclidean space. IAS Workshop h-principle and beyond, Princeton, November 2021.
- Pseudo-Seifert surfaces and vortex reconnections in quantum fluids. GEOTOP-A Seminar, online, March 2021.
- Existence of stationary Euler flows with compact support. One World PDE Seminar, online, February 2021.
- Beltrami fields exhibit knots and chaos almost surely. Workshop on Vortex Filaments, Fields Institute, Toronto, November 2020.
- Optimal domains for the first curl eigenvalue. CRM-Montreal-Quebec Analysis Seminar, online, November 2020.
- Contact structures and Beltrami fields on the torus and the sphere. Miniworkshop Geometry and Dynamics of Singular Structures, online, October 2020.
- A panoramic view of steady Euler flows. Workshop on Wild Dynamics, Banyuls-Sur-Mer, September 2020.
- Topology of nodal sets of solutions to elliptic PDEs 1. Tohoku University, Sendai, October 2017.
- Topology of nodal sets of solutions to elliptic PDEs 2. Tohoku University, Sendai, October 2017.
- Topology of nodal sets of solutions to elliptic PDEs 3. Tohoku University, Sendai, October 2017.
- Topology of nodal sets of solutions to elliptic PDEs 4. Tohoku University, Sendai, October 2017.
- Existence of knotted vortex structures in stationary solutions of the Euler equations. 7 European Congress of Mathematics (plenary lecture), Berlin, July 2016.
Two distinguished mathematicians talking about my work:
- Dancing vortices by Etienne Ghys. Oxford Mathematics Public Lectures, Oxford, UK, January 2016.
- Universality and possible blow-up in fluid equations by Terence Tao. Workshop Recent Developments in Fluid Mechanics, MSRI Berkeley, USA, April 2021.
Contact data
- Instituto de Ciencias Matemáticas
- E-mail: dperalta()icmat.es
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- Phone: [+34] 91 2999746