Organizers/Organisateurs : Cassandre Trioux (cassandre.trioux at univ-cotedazur.fr) Anton Baeza (anton.baeza at univ-cotedazur.fr)
--- English Version ---
The Doctoral Seminar will take place this year once or twice a month between October 2025 and June 2026. It is aimed at all young members of the laboratory, as well as motivated M2 students. This seminar consists of a 50 min presentation related to his research, then 10 min of questions.
To attend : the schedule of upcoming presentations is below and many email reminders will be sent.
To exhibit : please contact Cassandre or Anton. As the public comes from various horizons of mathematics, an effort must be made to make the presentation as accessible as possible. The presentations are validated and counted as training hours by the EDSFA.
--- French Version ---
Le séminaire des Doctorants aura lieu cette année une ou deux fois par mois entre Septembre 2025 et Juin 2026. Il s'adresse à tous les jeunes membres du laboratoire, ainsi qu'aux étudiants de M2 motivés. Ce séminaire consiste en une présentation de 50 min en lien avec sa recherche, puis de 10 min de questions.
Pour assister : le calendrier des exposés à venir est ci-dessous et de nombreux rappels par mails seront effectués.
Pour exposer : veuillez contacter Cassandre ou Anton. Comme le public vient d'horizons divers des mathématiques, il faut faire un effort pour que l'exposé soit le plus accessible possible. Les présentations sont validées et comptées comme heures de formation par l'EDSFA.
Calendar of upcoming talks / Calendrier des prochains exposés :
| Date | Hours/Heure | Room/Salle | Speaker/Orateur | Title/Titre |
| 17 April 2026 | 10:30AM | Salle de conférences | Gregorio Rebecchi | Estimation of Synaptic connectivity in brain organoids |
| January 2026 | TBA | TBA | Luis Bottraud | TBA |
Past talks / Exposés passés (2023/2025) :
| Date | Hours/Heure | Room/Salle | Speaker/Orateur | Title/Titre |
| 31 March 2026 | 2:00PM | Salle de conférences | Augustin Puel | Drift Estimation for N Particle Mean-Field Models with Fractional Noise under Discrete Observations |
| Abstract : The parametric estimation of mean field models driven by Brownian motion has been widely studied in recent years. In this vein, we extend this study to models driven by fractional Brownian motion. In this presentation we will introduce a new estimator of the drift parameter based on discrete observations of an N particles mean field model with additive noise driven by a fractional Brownian motion. Because the process lacks both martingale and Markov properties, our analysis relies on pathwise arguments. We investigate the asymptotic properties of the model and of the estimator in for the Hurst parameter H>1/3. Moreover, we explain how to jointly estimate the diffusion coefficient and the Hurst parameter along with the drift. | ||||
| 16 March 2026 | 2:00PM | Salle 1 | Fabrizio Curto | Rationality Problems in Algebraic Geometry |
| Wednesday 4 march 2026 | 2:00PM | Salle de conférences | Liqingjing Wang | Deformation of canonical line bundle in smooth Kähler family |
| Monday 9 February 2026 | 3:30 PM | Salle de séminaire | Antoine Dolozilek Fillaire | Invariant geometric structures |
| Thursday 29 January 2026 | 2:00 PM | Salle réunion Fizeau | Thomas Jacumin | Compression d'image par EDP |
| December 10th 2025 | 10:30 AM | Salle de conférences | Clément Mariot | Searching for Keplerian turbulence using optimal control |
| Samuel Gallay | Regularization by noise with fractional Brownian motion | |||
| Abstract : The non-linear stability and possible route to hydrodynamic turbulence in Keplerian flows remains an open question, with implications for the transport of angular momentum in cold accretion disks. We propose to use adjoint based optimal control to track pertubations yielding subcritical transitions in such flows. To that end we have developed a numerical framework based on Tchebycube, a new HPC spectral solver, handling both the direct and adjoint problems. This approach identifies initial conditions that locally extremize a quantity of interest (a marker of turbulence), potentially revealing transition-prone structures and amplification mechanisms. | ||||
| Abstract : When an ordinary differential equation is ill-posed, meaning that it has no or multiple solutions, it may happen that adding a (small) noise term to the equation restores its well-posedness. That is the phenomenon that we call regularization by noise, and that we will discuss in this short talk. As the noises we are considering are not necessarily Markovian, the proofs are not using tools from stochastic calculus, and you won't even need to know the Itô formula to follow this talk. This work was done in collaboration with Oleg Butkovsky (WIAS Berlin). More precisely, we study a multidimensional stochastic differential equation with additive noise: dXt = b(t, Xt)dt + dξt, where the drift b is integrable in space and time, and ξ is either a fractional Brownian motion or an α-stable process. We show weak existence of solutions to this equation under the optimal condition on the integrability indices of b, going beyond the subcritical Krylov-Röckner (Prodi-Serrin-Ladyzhenskaya) regime. This extends the recent results of Krylov (2020) to the fractional Brownian and Lévy cases. We also construct a counterexample to demonstrate the optimality of this condition. Our methods are built upon a version of the stochastic sewing lemma of Lê and the John–Nirenberg inequality. | ||||
| November 26th 2025 | 10:30 AM | Salle réunion Fizeau | Lorenzo Poggioni | A new class of finite difference methods : the zigzag schemes |
| November 12th 2025 | 10:30 AM | Salle de conférence | Meriem Bahhi | Etude mathématique d'une équation quasi-linéaire de type Schrödinger |
| November 5th 2025 | 10:30AM | Salle de conférences | Lucas Babet | Random matrices and graph limits |
| October 15th 2025 | 11:00 AM | Salle réunion Fizeau | Sebastian Baudelet | Rate of chaos propagation of the stochastic coalescence process |
| 2023-2024 | ||||
| June 26th 2024 | 2:00PM | Room 2 | Thomas Bouchet | Courbes de genre 4 : invariants et reconstruction |
| June 2024 | Antoine Commaret | Homological persistence. | ||
| April 2024 | Sophie Jaffard | Spiking Neural Networks : learning as Hawkes processes | ||
| March 2024 | Bruno Dewer | Apparences of the Farey sequence in Algebra and Geometry | ||
| January 2024 | Alex Moriani | Global Geometry in nonpositive curvature | ||
| December 2023 | Meriem Bahhi | A mathematical study of a quasi linear Schrodinger-type equation | ||
| December 2023 | Zakaria Ouaras | Moduli space of vector bundles | ||