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Related publications (21)

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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 Press2024

A Künneth theorem for configuration spaces

Kathryn Hess Bellwald

We construct a spectral sequence converging to the homology of the ordered configuration spaces of a product of parallelizable manifolds. To identify the second page of this spectral sequence, we introduce a version of the Boardman-Vogt tensor product for ...

2022

Imaging the Ultrafast Coherent Control of a Skyrmion Crystal

Henrik Moodysson Rønnow, Arnaud Magrez, Dirk Grundler, Fabrizio Carbone, Ivan Madan, Simone Gargiulo, Ping Che, Alexey Sapozhnik, Thomas Schönenberger, Priya Ranjan Baral

Exotic magnetic textures emerging from the subtle interplay between thermodynamic and topological fluctuation have attracted intense interest due to their potential applications in spintronic devices. Recent advances in electron microscopy enable the imagi ...

American Physical Society2022

On the Kodaira vanishing theorem for log del Pezzo surfaces in positive characteristic

Emelie Kerstin Arvidsson

We investigate the vanishing of H1(X,OX(−D)) for a big and nef Q-Cartier Z-divisor D on a log del Pezzo pair (X,Δ) over a perfect field of positive characteristic p. ...

2021

Generic vanishing in characteristic p > 0 and the geometry of theta divisors

Zsolt Patakfalvi

In this paper, we prove a strengthening of the generic vanishing result in characteristic p > 0 given in Hacon and Patakfalvi (Am J Math 138(4):963-998, 2016). As a consequence of this result, we show that irreducible Theta divisors are strongly F-regular ...

SPRINGER INTERNATIONAL PUBLISHING AG2022

Vanishing theorems in positive characteristic

Emelie Kerstin Arvidsson

The topic of this thesis is vanishing theorems in positive characteristic. In particular, we use "the covering trick of Ekedahl" to investigate the vanishing of

H^1(X, \mathcal{O}_X(-D))

for a big and nef Weil divisor

D

on a normal projective variety w ...

EPFL2021

Mapping Urbanization as an Anthropedogenetic Process: A Section through the Times of Urban Soils

Antoine Vialle

Current trends of spatial planning policies give a strategic role to soils, the multifunctionality of which must be considered as a crucial driver facing cities’ forthcoming social-ecological transition. However, soils within urban areas are insufficiently ...

2020

Notes on functions of hyperbolic type

Nicolas Monod

Functions of hyperbolic type encode representations on real or complex hyperbolic spaces, usually infinite-dimensional. ...

BELGIAN MATHEMATICAL SOC TRIOMPHE2020

A Laplacian approach to stubborn agents and their role in opinion formation on influence networks

Melvyn Sandy Tyloo

Within the framework of a simple model for social influence, the Taylor model, we analytically investigate the role of stubborn agents in the overall opinion dynamics of networked systems. Similar to zealots, stubborn agents are biased towards a certain op ...

2020

On subadditivity of Kodaira dimension in positive characteristic over a general type base

Zsolt Patakfalvi

We show that for a surjective, separable morphism f of smooth projective varieties over a field of positive characteristic such that f(*) OX congruent to O-Y subadditivity of Kodaira dimension holds, provided the base is of general type and the Hasse-Witt ...

2018

L-2-Betti numbers and Plancherel measure

Henrik Densing Petersen

We compute L-2-Betti numbers of postliminal, locally compact, unimodular groups in terms of ordinary dimensions of reduced cohomology with coefficients in irreducible unitary representations and the Plancherel measure. This allows us to compute the L-2-Bet ...

Academic Press Inc Elsevier Science2014

Spaces With Noetherian Cohomology

Jérôme Scherer

Is the cohomology of the classifying space of a p-compact group, with Noetherian twisted coefficients, a Noetherian module? In this paper we provide, over the ring of p-adic integers, such a generalization to p-compact groups of the Evens-Venkov Theorem. W ...

Cambridge University Press2013

Ultrafast tristable spin memory of a coherent polariton gas

Benoît Marie Joseph Deveaud, François Morier-Genoud, Marcia Portella Oberli, Taofiq Paraïso, Roland Cerna

Non-linear interactions in coherent gases are not only at the origin of bright and dark solitons and superfluids; they also give rise to phenomena such as multistability, which hold great promise for the development of advanced photonic and spintronic devi ...

Nature Publishing Group2013

Unified mechanistic multiscale mapping of two-phase flow patterns in microchannels

John Richard Thome, Rémi Revellin

To better understand the underlying two-phase phenomena and thus better predict transitions between the various two-phase flow patterns, it is necessary to update our way of thinking from one-of-a-kind flow pattern maps of limited applicability to a genera ...

Elsevier2013

Distortion of Mappings and $L_{q,p}$-Cohomology

Marc Troyanov

We study some relation between some geometrically defined classes of diffeomorphisms between manifolds and the

L_{q,p}

-cohomology of these manifolds. Some applications to vanishing and non vanishing results in

L_{q,p}

-cohomology are given. ...

Springer-Verlag2009

Lq,p-cohomology of Riemannian manifolds and simplicial complexes of bounded geometry

The Lq,p-cohomology of a Riemannian manifold (M, g) is defined to be the quotient of closed Lp-forms, modulo the exact forms which are derivatives of Lq-forms, where the measure considered comes from the Riemannian structure. The Lq,p-cohomology of a simpl ...

EPFL2009

Narrow-band multiresonant plasmon nanostructure for the coherent control of light: An optical analog of the xylophone

Olivier Martin

We demonstrate that it is possible to combine several small metallic particles in a very compact geometry without loss of their individual modal properties by adding a gold metallic film underneath. This film essentially acts as a "ground plane" which chan ...

2008

Local properties of the Hochschild cohomology of C*-algebras

Let A be a C*-algebra, and let X be a Banach A-bimodule. Johnson [B. E. Johnson, 'Local derivations on C*-algebras are derivations', Trans. Amer Math. Soc. 353 (2000), 313-325] showed that local derivations from A into X are derivations. We extend this con ...

Cambridge University Press2008

A vanishing theorem for oriented intersection multiplicities

Jean Fasel

Let A be a regular local ring containing 1/2, which is either equicharacteristic, or is smooth over a d.v.r. of mixed characteristic. We prove that the product maps on derived Grothendieck-Witt groups of A satisfy the following property: given two elements ...

2008

On Haagerup and Kazhdan properties

Yves de Cornulier

In the first chapter, we characterize p-adic linear algebraic groups with the Haagerup Property. We also characterize connected Lie groups having the Haagerup Property viewed as discrete groups, and we provide an example of a finitely presented group not h ...

EPFL2006