Mathematics

• Lesson 21/05: ROOM 134
• Lesson 22/05: ROOM 133
• Lesson 28/05: ROOM 
• Lesson 29/05: ROOM 136

Program:

• Boundary of sets and signed distance functions.
• Mean curvature and second fundamental form.
• First variation of area.
• Gradient flow of area.
• Smooth mean curvature flow: short-time existence theorem.
• Examples of singularities formation in mean curvature flow.
• The method of Almgren-Taylor-Wang and the De Giorgi minimizing movement method.
• The Gamma-limit of De Giorgi and Modica-Mortola.
• The Ginzburg-Landau (or Allen-Cahn) approximation of minimal surfaces and of mean curvature

First lecture:  This first lecture is aimed to introduce the course, and to fix the time schedule of the lectures with the interested students