Publications associées à Principal homogeneous space

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Orders That Are Etale-Locally Isomorphic

Eva Bayer Fluckiger

Let R be a semilocal Dedekind domain with fraction field F. It is shown that two hereditary R-orders in central simple F-algebras that become isomorphic after tensoring with F and with some faithfully flat etale R-algebra are isomorphic. On the other hand, ...

AMER MATHEMATICAL SOC2020

A General Theory of Equivariant CNNs on Homogeneous Spaces

Mario Geiger

We present a general theory of Group equivariant Convolutional Neural Networks (G-CNNs) on homogeneous spaces such as Euclidean space and the sphere. Feature maps in these networks represent fields on a homogeneous base space, and layers are equivariant ma ...

NEURAL INFORMATION PROCESSING SYSTEMS (NIPS)2019

Orders that are étale-locally isomorphic

Eva Bayer Fluckiger, Mathieu Huruguen

Let R be a semilocal Dedekind domain with fraction field F. It is shown that two hereditary R-orders in central simple F-algebras that become isomorphic after tensoring with F and with some faithfully flat étale R-algebra are isomorphic. On the other hand, ...

2019

Hyperbolicity as an obstruction to smoothability for one-dimensional actions

Yash Lodha

Ghys and Sergiescu proved in the 1980s that Thompson's group T, and hence F, admits actions by C-infinity diffeomorphisms of the circle. They proved that the standard actions of these groups are topologically conjugate to a group of C-infinity diffeomorphi ...

GEOMETRY & TOPOLOGY PUBLICATIONS2019

Modular functors, cohomological field theories, and topological recursion

Nicolas Gerson Orantin

Given a topological modular functor V in the sense of Walker, we construct vector bundles Z (lambda) over bar, over (M) over bar (g,n) whose Chern characters define semi-simple cohomological field theories. This construction depends on a determinati ...

AMER MATHEMATICAL SOC2018

Optimal regionalization of extreme value distributions for flood estimation

Anthony Christopher Davison, Sebastian Engelke, Peiman Asadi

Regionalization methods have long been used to estimate high return levels of river discharges at ungauged locations on a river network. In these methods, discharge measurements from a homogeneous group of similar, gauged, stations are used to estimate hig ...

2018

Influence of heterogeneities on crack propagation

Jean-François Molinari, Okan Yilmaz, Jérémy Bleyer

The influence of material heterogeneities is studied in the context of dynamic failure. We consider a pre-strained plate problem, the homogeneous case of which has been widely studied both experimentally and numerically. This setup is used to isolate the e ...

2018

Yield prediction in parallel homogeneous assembly

Massimo Mastrangeli, Metin Sitti

We investigate the parallel assembly of two-dimensional, geometrically-closed modular target structures out of homogeneous sets of macroscopic components of varying anisotropy. The yield predicted by a chemical reaction network (CRN)-based model is quantit ...

Royal Society of Chemistry2017

Fixed Points For Bounded Orbits In Hilbert Spaces

Nicolas Monod, Maxime Gheysens

Consider the following property of a topological group G: every continuous affine G-action on a Hilbert space with a bounded orbit has a fixed point. We prove that this property characterizes amenability for locally compact a-compact groups (e.g., countabl ...

Elsevier2017

Principal homogeneous space

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Orders That Are Etale-Locally Isomorphic

A General Theory of Equivariant CNNs on Homogeneous Spaces

Orders that are étale-locally isomorphic

Hyperbolicity as an obstruction to smoothability for one-dimensional actions

Modular functors, cohomological field theories, and topological recursion

On the definition of multi-Koszul modules

Optimal regionalization of extreme value distributions for flood estimation

Influence of heterogeneities on crack propagation

Yield prediction in parallel homogeneous assembly

Fixed Points For Bounded Orbits In Hilbert Spaces

A General Theory of Equivariant CNNs on Homogeneous Spaces

Orders That Are Etale-Locally Isomorphic

Orders that are étale-locally isomorphic

On the definition of multi-Koszul modules

Modular functors, cohomological field theories, and topological recursion

Optimal regionalization of extreme value distributions for flood estimation

Hyperbolicity as an obstruction to smoothability for one-dimensional actions

Yield prediction in parallel homogeneous assembly

Influence of heterogeneities on crack propagation

Fixed Points For Bounded Orbits In Hilbert Spaces