Coloquio DIM mes de Noviembre
Title: A BRIDGE BETWEEN MINIMAL SURFACES AND PDES
Abstract: Originating in the 18th century, minimal surfaces are one of the most studied objects in the area of Differential Geometry, finding applications in diverse fields such as general relativity, architecture, biology, and many others. Strong connections between the theory of minimal surfaces and an equation modeling phase-transition phenomena, called Allen-Cahn equation, were established in the 70s. Our central purpose in this talk is to delve deeply into this connection and discuss recent developments and conjectures regarding these relevant topics in the area of geometric analysis.
