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
Events in November 2023–April 2024
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- K. Kozhasov (Université Côte d'Azur) - Real geometry of optimization problems related to tensors and polynomials
K. Kozhasov (Université Côte d'Azur) - Real geometry of optimization problems related to tensors and polynomials
K. Kozhasov (Université Côte d'Azur) - Real geometry of optimization problems related to tensors and polynomials
10h30-11h30
7 November 2023Many applied optimization problems are often modeled via tensors and polynomials. For example, data compression or denoising can be cast as the problem of low-rank approximation of a matrix (more generally, a tensor). Finding the maximal cardinality of a stable set in a finite graph reduces to minimizing a multivariate polynomial over the Euclidean sphere. Understanding the structure of such optimization problems naturally leads to research questions in (real) algebraic geometry with interesting (and sometimes unexpected) connections to other fields.
In the talk I will give a general overview of my research in this area presenting some of the techniques and ideas from algebraic/computational/convex/differential geometry, probability, harmonic analysis, approximation theory, etc.Euler Violet E006 -
- Tobias Metzlaff (TU Kaiserslautern) - Symplectic singularities and diagonal invariants
Tobias Metzlaff (TU Kaiserslautern) - Symplectic singularities and diagonal invariants
Tobias Metzlaff (TU Kaiserslautern) - Symplectic singularities and diagonal invariants
10h30-11h30
9 November 2023Symplectic singularities were introduced by Beauville in 2000 to extend the notion of smoothness to the singular world of symplectic forms. Next to their intriguing geometric properties, they arise naturally in Lie theory, where they establish a link between commutative algebraic geometry and noncommutative representation theory. In this talk, I will highlight some computational aspects that boil down to the calculation of fundamental invariants for certain group actions, which are known due to Haiman as diagonal invariants.
Salle Byron Blanc (Y106), Inria
