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
Matías R. Bender (TU Berlin) - Polynomial systems, sparsity, and applications
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2 February 2022
Polynomial systems are ubiquitous in computational mathematics and have several applications in science and engineering. In this talk, I will present some linear-algebra-based strategies to compute with them. First, I will focus on solving, symbolically and numerically, structured systems such as sparse and multi-homogeneous. For that, I will merge classical tools, like Gröbner bases and resultants, with Toric geometry. Later, I will present some applications of these techniques in different domains, such as differential equations and topological data analysis.
