Sandra Di Rocco: Extending Euclidean Distance Optimization: Conditional and Higher-Order geometry.
Tid: Ti 2025-11-11 kl 14.15 - 15.15
Plats: KTH 3418, Lindstedtsvägen 25 and Zoom
Videolänk: https://kth-se.zoom.us/j/65583358144?pwd=us6mdDtBgkEdZefvgbZPBWNujl3YuJ.1
Medverkande: Sandra Di Rocco (KTH)
Abstract.
We present two recent generalizations of Euclidean Distance optimization on algebraic varieties, exploring complementary directions.
The first, developed in Conditional Euclidean Distance Optimization via Relative Tangency (Di Rocco–Gustafsson–Sodomaco, 2023), introduces conditional tangency and the conditional ED-degree relative to a constraint variety.
The second, in Osculating Geometry and Higher-Order Distance Loci (Di Rocco–Rose–Sodomaco, 2025), replaces first-order normal spaces by higher-order osculating spaces, leading to the higher-order ED-degree.
Together, they outline a broader framework for metric algebraic geometry where tangency and contact govern optimization phenomena.