# Topological and geometrical aspects in complex materials

**Dates: **March 27 - 31, 2023**Venue:** HIM lecture hall, Poppelsdorfer Allee 45, Bonn

Organizers: Valeria Banica (Sorbonne), Radu Ignat (Toulouse), Luc Nguyen (Oxford)

The main focus of the workshop is the analysis of topological and geometrical singularities in PDE problems arising in complex materials. These singularities typically exhibit themselves in the form of microstructures or defects of different types (points, lines, interfaces…). The associated models often have a variational formulation and deep analysis techniques are needed to describe the geometric structure, symmetry, stability and dynamics of these singularities. This workshop will bring together specialists in Calculus of Variations and PDEs working on singular phenomena that could give new insights into the physics of complex materials.

Click here for the schedule.

Click here for the abstracts.

Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event.

# Video Recordings

# Day 1

Philippe Gravejat: Stability of the Ginzburg-Landau vortex

# Day 2

Xavier Lamy: On Lebesgue points of entropy solutions to the 2D eikonal equation

Guanying Peng: Compactness and regularity for a generalized Aviles-Giga functional

Benoît Merlet: About the non-oriented Aviles-Giga functional

Adriano Pisante: Torus-like solutions for the Landaude Gennes model

Arghir D. Zằrnescu: Symmetry and multiplicity of solutions in a two-dimensional liquid crystal model

# Day 3

Matthias Kurzke: Global Jacobians, boundary vortices and polynomials

Susana Gutiérrez: Self-similar solutions of the 1d Landau-Lifshitz-Gilbert equation

Raphaël Côte: Asymptotic stability of precessing domain walls in ferromagnetic nanowires

# Day 4

Ludovic Godard-Cadillac: Hölder regularity for collapses of point vortices

Bogdan Raiṱằ: On concentration effects in pde