The AROMATH seminar will usually happen on Tuesday at 10h30-11h30 every two weeks, except for a few deviations.
The presentations will typically take place at Inria Sophia Antipolis, Byron Blanc 106, and also online.
To join online, at https://cutt.ly/aromath or with a web browser at https://cutt.ly/aromath-web
use meeting ID: 828 5859 7791, passcode: 123
Daniele Taufer (Univ. K. Leuven) - Natural apolar schemes across algebra, geometry, and computations
10h30-12h
4 June 2024
Natural apolar schemes across algebra, geometry, and computations
Abstract: Symmetric order-d tensors (equiv. homogeneous degree-d polynomials) admit infinitely many additive decompositions by means of possibly simpler components.
To each such decomposition, one can canonically associate a zero-dimensional scheme that remembers the core geometrical information about the starting decomposition.
In this talk, we will discuss how to abstractly define and explicitly construct such geometrical objects.
On the theoretical side, we will observe that these schemes enjoy beautiful algebraic properties that are still a field of open research.
Computationally, these features may be exploited to investigate (additive) symmetric tensor decomposition, and we will look at examples of such applications.
This is based on a joint work with A. Bernardi and A. Oneto.
