Calculus of Variations and Geometric Measure Theory

Geometric flows of networks

created by stepanov on 21 Mar 2021

23 mar 2021 - 31 mar 2021   [open in google calendar]

Leonhard Euler International Mathematical Institute in Saint-Petersburg announces the minicourse "Geometric flows of networks" within the program "Geometric and mathematical analysis, and weak geometric structures" (see https:/indico.eimi.ruevent278 for details)

Lecture course Geometric flows of networks

Matteo Novaga, Universita' di Pisa, Alessandra Pluda, Universita' di Pisa,

Abstract: The study of geometric flows is a very flourishing mathematical field and geometric evolution equations have been applied to a variety of topological, analytical and physical problems. In particular, in the last decades a great attention has been devoted to the analysis of the mean curvature flow. In this series of lectures we will introduce the notion of curvature flow of curves and networks, describing the possible approaches to this geometric evolution. We will present the state of the art of the problem, from the short time existence and uniqueness to a description of the long time behavior and singularity formation. We will conclude the course with some recent extensions to higher order flows and a list of open problems.

Program: - Lecture 1: Formulation of the curvature flow of curves and networks and preliminary results. - Lecture 2: Short time existence and uniqueness of the motion by curvature of networks. - Lecture 3: Monotonicity formula and analysis of singularities. - Lecture 4: Elastic flow of curves and networks: State of the art and open problems.

The lectures will be held in ZOOM,

Timetable: Lecture 1: Tuesday, 2303 18.00-19.30 MSK Lecture 2: Thursday, 2503, 18.00-19.30 MSK Lecture 3: Tuesday, 3003, 18.00-19.30 MSK Lecture 4: Thursday, 0104 18.00-19.30 MSK

The registration for the course (obligatory for organizational purposes) is available at https:/indico.eimi.ruevent278registrations54.

Speakers: Matteo Novaga, Alessandra Pluda.