Event
Yana Teplitskaya (Paris-Saclay)
Friday, March 14, 2025 14:00to15:00
Title: Irregular examples of indecomposable Steiner trees with infinite number of branching points
Abstract: A general metric Steiner problem is a problem of finding a set S with the minimal length, such that S鈭狝 is connected, where A is a given compact subset of a given complete metric space X; a solution is called the Steiner tree. By indecomposable Steiner tree we mean such a Steiner tree S that S \ A remains connected. This means that such a tree cannot be obtained as the union of several Steiner trees for subsets of A.
I will talk about examples of indecomposable Steiner trees with infinite number of branching points in Euclidean plane: I will provide ''small'' (connecting countable number of the terminal points) and ''large'' (connecting totally disconnected set of positive Hausdorff dimension) examples. These questions were motivated by search of irregular structures contained in Steiner trees. If we have enough time, we will even go beyond the plane. Everybody is welcome, no preliminary math knowledge needed.
Based on joint works with D. Cherkashin, E. Stepanov, E. Paolini
In person:听Pavillion Andr茅-Aisenstadt, room 5183
Join Zoom Meeting
Meeting ID: 895 2873 0384
Passcode: 077937
听