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Спешим сообщить вам, что с 23 марта по 1 апреля 2021 года в рамках реализации тематической программы «Geometric and Mathematical Analysis, and Weak Geometric Structures» в Международном математическом институте им. Леонарда Эйлера пройдет первый миникурс программы, состоящий из 4 лекций:
Название миникурса: “Geometric flows of networks”
Лекторы: Matteo Novaga (Università di Pisa) и Alessandra Pluda (Università 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.
Программа:
— Lecture 1: Formulation of the curvature flow of curves and networks
and preliminary results. Вторник, 23.03, 18.00-19.30 MSK
— Lecture 2: Short time existence and uniqueness of the motion by
curvature of networks. Четверг, 25.03, 18.00-19.30 MSK
— Lecture 3: Monotonicity formula and analysis of singularities. Вторник, 30.03, 18.00-19.30 MSK
— Lecture 4: Elastic flow of curves and networks: State of the art
and open problems. Четверг, 01.04, 18.00-19.30 MSK
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