Concept
Geometric invariant theory
Publications associées (36)
Algebraic Homotopy Interleaving Distance
The theory of persistence, which arises from topological data analysis, has been intensively studied in the one-parameter case both theoretically and in its applications. However, its extension to the multi-parameter case raises numerous difficulties, wher ...
SPRINGER INTERNATIONAL PUBLISHING AG2021Positivity of the CM line bundle for families of K-stable klt Fano varieties
Zsolt Patakfalvi, Giulio Codogni
The Chow-Mumford (CM) line bundle is a functorial line bundle on the base of any family of klt Fano varieties. It is conjectured that it yields a polarization on the moduli space of K-poly-stable klt Fano varieties. Proving ampleness of the CM line bundle ...
SPRINGER HEIDELBERG2020Topological Fano Resonances
Romain Christophe Rémy Fleury, Farzad Zangeneh Nejad
The Fano resonance is a widespread wave scattering phenomenon associated with a peculiar asymmetric and ultrasharp line shape, which has found applications in a large variety of prominent optical devices. While its substantial sensitivity to geometrical an ...
2019Efficient geometric integrators for nonadiabatic quantum dynamics. II. The diabatic representation
Jiri Vanicek, Seonghoon Choi, Julien Roulet
Exact nonadiabatic quantum evolution preserves many geometric properties of the molecular Hilbert space. In the first paper of this series ["Paper I," S. Choi and J. Vaníček, J. Chem. Phys. 150, 204112 (2019)], we presented numerical integrators of arbitra ...
2019An Input–Output Parametrization of Stabilizing Controllers: Amidst Youla and System Level Synthesis
Maryam Kamgarpour, Luca Furieri
This letter proposes a novel input-output parametrization of the set of internally stabilizing output-feedback controllers for linear time invariant (LTI) systems. Our underlying idea is to directly treat the closed-loop transfer matrices from disturbances ...
2019