Geometric rigidity in spin systems (B11*)

• Subject Area: Mathematics
• Term: from 2020 to 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 195170736

The project aims at developing a deeper understanding of typical low-energy states and to derive coarse-grained continuum theories of variational lattice spin theories. One of the main difficulties in this respect is the lack of understanding of elementary low-energy singularities such as vortices or line defects in spin systems. Our goal is to address these issues for simple but relevant lattice models. For that, we will combine methods from different areas: direct methods in the calculus of variations, abstract methods of Gamma-convergence and scaling laws analysis via domain branching constructions.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 109: Discretisation in Geometry and Dynamics
• Applicant Institution: Technische Universität Berlin
• Project Heads: Professor Dr. Marco Cicalese; Professorin Dr. Barbara Zwicknagl