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 (CISPA Helmholtz Center for Information Security, Univ. Trento) - Generalized additive decompositions and their regularity
–
21 April 2021
A generalized additive decomposition (GAD) of a d-homogeneous polynomial F is a decomposition of this polynomial as a sum of powers of linear forms multiplied by homogeneous polynomials of degree not greater than d. From every GAD of F, there is a natural way of defining a scheme that is apolar to F.
Among all the schemes constructed this way, there is also a cactus scheme to F that may be symbolically detected via an algorithm we have recently proposed.
In this talk, we discuss the d-regularity of such schemes and how this may be employed to better the performance of the aforementioned algorithm.
This is joint work with A. Bernardi and A. Oneto.
