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Publications associées (95)
BPS invariants from p-adic integrals
Dimitri Stelio Wyss, Francesca Carocci, Giulio Orecchia
We define p-adic BPS or pBPS invariants for moduli spaces M-beta,M-chi of one-dimensional sheaves on del Pezzo and K3 surfaces by means of integration over a non-archimedean local field F. Our definition relies on a canonical measure mu can on the F-analyt ...
Cambridge Univ Press2024Moments of the number of points in a bounded set for number field lattices
Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban
We examine the moments of the number of lattice points in a fixed ball of volume for lattices in Euclidean space which are modules over the ring of integers of a number field . In particular, denoting by the number of roots of unity in , we ...
arXiv2023Instrumented gripper with tuneable operational range for micro/meso manipulation
Robotization and industrial automation are important fields of research and development in engineering. At micro scales, industrial automation development requires specific tools to handle components and perform precise assembly, etc. Therefore, the develo ...
2023Linear Complexity Self-Attention With 3rd Order Polynomials
Grigorios Chrysos, Filippos Kokkinos
Self-attention mechanisms and non-local blocks have become crucial building blocks for state-of-the-art neural architectures thanks to their unparalleled ability in capturing long-range dependencies in the input. However their cost is quadratic with the nu ...
Los Alamitos2023Arithmetic and geometric deformations of threefolds
Stefano Filipazzi, Fabio Bernasconi
We show that mixed-characteristic and equicharacteristic small deformations of 3-dimensional canonical (resp., terminal) singularities with perfect residue field of characteristic p>5 are canonical (resp., terminal). We discuss applications to arithmetic a ...
Hoboken2023Algebraic twists of GL(2) automorphic forms
In this thesis we consider the problem of estimating the correlation of Hecke eigenvalues of GL2 automorphic forms with a class of functions of algebraic origin defined over finite fields called trace functions. The class of trace functions is vast and inc ...
EPFL2023Learning Sparse Graphons And The Generalized Kesten-Stigum Threshold
The problem of learning graphons has attracted considerable attention across several scientific communities, with significant progress over the re-cent years in sparser regimes. Yet, the current techniques still require diverg-ing degrees in order to succe ...
INST MATHEMATICAL STATISTICS-IMS2023The Jordan property for local fundamental groups
Stefano Filipazzi, Roberto Svaldi
We show the Jordan property for regional fundamental groups of klt singularities of fixed dimension. Furthermore, we prove the existence of effective simultaneous index 1 covers for n-dimensional klt singularities. We give an application to the study of lo ...
2022In flow acoustic characterisation of a 2D active liner with local and non local strategies.
Hervé Lissek, Maxime Volery, Gaël Matten
The design and the grazing flow aeroacoustical characterization of a 2D active liner based on an array of electroacoustic absorbers are presented in this paper. The strategy stands on a pressure-based, current-driven digital architecture for impedance cont ...
2022On p-adic Versions of the Manin-Mumford Conjecture
We establish p-adic versions of the Manin-Mumford conjecture, which states that an irreducible subvariety of an abelian variety with dense torsion has to be the translate of a subgroup by a torsion point. We do so in the context of certain rigid analytic s ...
OXFORD UNIV PRESS2021