Mini-Course: Nonlocal Problems in PDEs and Geometry
May 20-24, 2019
Prof. Eleonora Cinti (University of Bologna, Italy) will teach a 5-day mini-course aimed at graduate students and junior researchers at the intersection of Analysis and Geometry.
Dr. Cinti earned her Ph.D in 2010 and since then has worked at the Max Planck Institute in Leipzig, the Weierstrass Institute in Berlin, and various Italian universities (Pavia, Bologna, Torino). Eleonora Cinti's research focuses on nonlocal partial differential equations, geometric measure theory, and calculus of variations.
Schedule
The mini-course will be structured as follows:
- Lecture 1 (Monday, May 20): Preliminaries: basic facts about the Laplacian and harmonic functions.
- Lecture 2 (Tuesday, May 21): The fractional Laplacians: motivations and properties.
- Problem Session (Wednesday, May 22).
- Lecture 3 (Thursday, May 23): $s$-Harmonic functions and the Caffarelli-Silvestre extension theorem.
- Lecture 4 (Friday, May 24): Geometry meets PDEs, a nonlocal phase transition model and nonlocal minimal surfaces.
Registration
If you want to attend the mini-course, please email nonlocal19@queensu.ca.