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Ingrid Beltita
Ingrid Beltita
Ingrid Beltita is a researcher at the "Simion Stoilow" Institute of Mathematics of the Romanian Academy, in the group Differential Equations and Optimal Control; Mathematical Physics and Partial Differential Equations.
Title:
Coherent state representations of exponential Lie groups
Abstract:
For an exponential Lie group G and an irreducible unitary representation π of G on a Hilbert space H, we consider the natural action defined by π on the projective space of H and show that the stabilisers of this action coincide with the projective kernel of π.
Using this, we prove that, if G is unimodular, then π admits a symplectic projective orbit, that is, π is a coherent state representation, if and only if π is square-integrable modulo its projective kernel. We also discuss the existence of coherent frames in the orbit of the action mentioned above.
This talk reports on joint work with J.T. van Velthoven (Univ. Vienna).
Adina Ciomaga
Adina Ciomaga
Adina Ciomaga is a Scientific Researcher at the Romanian Academy, within the Octav Mayer Institute of Mathematics, and is affiliated with LJLL, Université Paris Cité. Her research lies at the interface of nonlinear analysis and partial differential equations, with a focus on Hamilton–Jacobi equations, integro-differential equations, and regularity theory. She is also actively involved in developing PDE-based methods for image processing and data analysis.
She obtained her PhD from École Normale Supérieure Paris-Saclay under the supervision of Guy Barles and Jean-Michel Morel, and has held positions at leading institutions including University of Chicago and Université Paris Cité. Her work has been supported by several international research grants, and she has contributed to several journals in PDEs and applied mathematics.
Title:
PDE techniques in Image Processing
Abstract:
Partial differential equations (PDEs) offer a powerful framework for understanding and processing images. In this talk, we present how ideas from geometry and optimization can be used to smooth images and detect meaningful structures. We introduce curvature-driven flows for shape regularization, variational approaches for image segmentation, and simple iterative algorithms such as the Merriman–Bence–Osher (MBO) scheme, which alternates diffusion and thresholding steps. We illustrate how these methods extend to a wide range of real-world applications, including the automated analysis of Scanning Tunneling Microscopy (STM) images, medical imaging, surface topography, and the restoration of degraded or historical documents.
Ángela Flores-Concha
Ángela Flores-Concha
Ángela Flores-Concha is a PhD student at Penn State University, working in Symbolic Dynamics under the supervision of Scott Schmieding.
Title:
Generic subsystems of a Smale Space
Anca Macinic
Anca Macinic
Anca Macinic is a researcher at the "Simion Stoilow" Institute of Mathematics of the Romanian Academy, in the group Differential Geometry and Algebraic Topology.
Title:
Nets and realizability
Abstract:
We discuss the occurrence of symmetrical structures of matroids of net type as intersection lattices of arrangements of lines and we present several consequences of the existence of these structures on arrangements of lines.
Oana Padurariu
Oana Padurariu
Oana Padurariu is a researcher and outreach coordinator at the Max Planck Institute for Mathematics in Bonn. Her research interest lies in the field of number theory.
She makes content for the MPIM YouTube channel.
She obtained her PhD from Boston University in 2023, and previously she studied as an undergraduate at the University of Oxford.
Title:
Rational points on modular curves
Abstract:
The endeavor of provably computing rational points on curves stretches back millennia. In this talk, we focus on a particularly interesting class of curves—modular curves. These are moduli spaces that parametrize elliptic curves equipped with additional structure, and they offer a powerful setting in which to study rational points.
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