PDE Seminar Abstracts

Long-range phase transitions

Serena Dipierro
University of Western Australia
Tue 4th Apr 2023, 11:30-12:30, Carslaw Room 829 (AGR)

Abstract

Phase transitions are a classical topic of investigation. They represent a complex phenomenon which needs to be attacked with different methodologies and different perspectives. I will discuss some rigidity and symmetry results for a long-range phase coexistence equation, their close relation with surfaces of minimal perimeter and a famous conjecture by Ennio De Giorgi.