You are cordially invited to the seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Aidan Backus (Brown University)<\/p>\n
\u201cFunctions of Least Gradient and Minimal Laminations\u201d<\/p>\n
Abstract: A lamination is a closed subset of a manifold $M$ which has been partitioned into submanifolds of $M$. I will discuss laminations of locally area-minimizing submanifolds, arising as the limit of solutions of the $p$-Laplacian, the PDE $\\nabla \\cdot (|\\nabla u|^{p \u2013 2} \\nabla u) = 0$, as $p \\to 1$ or $p \\to \\infty$. The limits as $p \\to 1$ are called \u201cfunctions of least gradient\u201d and I shall show that locally, they are the same thing as minimal laminations of codimension $1$. As a consequence, we shall see that certain topological conditions on $M$ imply the existence of many uniquely ergodic minimal laminations.<\/p>\n
Date: February 19, Wednesday, 2025
\nTime: 5:00 PM (Turkey)
\nPlace: ZOOM<\/p>\n
This is an online seminar. To request the Zoom link, please send a message to turker.ozsari@bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the seminar organized by the Department of Mathematics. Speaker: Aidan Backus (Brown University) \u201cFunctions of Least Gradient and Minimal Laminations\u201d Abstract: A lamination is a closed subset of a manifold $M$ which has been partitioned into submanifolds of $M$. I will discuss laminations of locally [\u2026] <\/p>\n