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 April–September 2024
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- Lucas Gamertsfelder (Inria d'UNICA) - LP Based Bounds for Cesaro and Abel Limits of the Optimal Values in Non-Ergodic Stochastic Systems
Lucas Gamertsfelder (Inria d'UNICA) - LP Based Bounds for Cesaro and Abel Limits of the Optimal Values in Non-Ergodic Stochastic Systems
Lucas Gamertsfelder (Inria d'UNICA) - LP Based Bounds for Cesaro and Abel Limits of the Optimal Values in Non-Ergodic Stochastic Systems
14:00-15:30
2 April 2024In this work, we study asymptotic properties of problems of control of stochastic discrete time systems with time averaging and time discounting optimality criteria, and we establish that the Cesaro and Abel limits of the optimal values in such problems can be evaluated with the help of a certain infinite-dimensional linear programming (IDLP) problem and its dual.
Salle Byron Blanc (Y106), Inria -
- Enrico Savi (Université Côte d'Azur) - The Q-algebraicity problem in real algebraic geometry
Enrico Savi (Université Côte d'Azur) - The Q-algebraicity problem in real algebraic geometry
Enrico Savi (Université Côte d'Azur) - The Q-algebraicity problem in real algebraic geometry
10h30-12h
29 May 2024In 2020, Parusi´nski and Rond proved that every algebraic set V subset R^n is homeomor-
phic to a Qr-algebraic set V' subset R^n, where Qr denotes the field of real algebraic numbers. Latter
very general result motivates the following open problem:
Q-algebraicity problem: (Parusinski, 2022) Is every algebraic set V subset R^n homeomorphic
to some Q-algebraic set V' subset R^m, with m >= n?
The aim of the talk is to introduce above open problem and to explain how our new approxi-
mation techniques over Q allowed us to provide some classes of real algebraic sets that positively
answer the Q-algebraicity problem.Salle Byron Blanc (Y106), Inria -
- Daniele Taufer (Univ. K. Leuven) - Natural apolar schemes across algebra, geometry, and computations
Daniele Taufer (Univ. K. Leuven) - Natural apolar schemes across algebra, geometry, and computations
Daniele Taufer (Univ. K. Leuven) - Natural apolar schemes across algebra, geometry, and computations
10h30-12h
4 June 2024Natural 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.Salle Byron Blanc (Y106), Inria -
- Adam Parusiński (UniCA) - Arc-wise analytic triviality
Adam Parusiński (UniCA) - Arc-wise analytic triviality
Adam Parusiński (UniCA) - Arc-wise analytic triviality
14h-15h
18 June 2024Arc-wise analytic stratification of real and complex analytic spaces was introduced a few years ago
for the proof of Whitney’s fibering conjecture. It satisfies a strong local triviality property, namely is
locally trivial along each stratum by a trivialization that preserves the real analytic arcs. Its construction is based on Zariski’s algebro-geometric equisingularity.
In this talk I present several applications and discuss related open problems.Salle Byron Blanc (Y106), Inria
