- Series
- Job Candidate Talk
- Time
- Tuesday, December 12, 2023 - 11:00am for 1 hour (actually 50 minutes)
- Location
- Skiles 005 and https://gatech.zoom.us/j/96443370732
- Speaker
- Tobias Ried – Max Planck Institute for Mathematics in the Sciences, Liepzig, Germany – tobias.ried@mis.mpg.de
- Organizer
- Federico Bonetto
In this talk I will present an overview of my research, highlighting in more detail two topics:
1. A purely variational approach to the regularity theory of optimal transportation, which is analogous to De Giorgi’s strategy for the regularity theory of minimal surfaces. I will show some interesting connections to Wasserstein barycenters, branched transport, and pattern formation in materials science, as well as applications in density functional theory.
2. Variational methods for a singular stochastic PDE describing the magnetization ripple, a microstructure in thin-film ferromagnets triggered by the poly-crystallinity of the sample. I will describe how the universal character of the magnetization ripple can be addressed using variational methods based on Γ-convergence.