Publications related to Coherent sheaf cohomology

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

Imaging the Ultrafast Coherent Control of a Skyrmion Crystal

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

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 ...

2022

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. These notes set up the complex case. As applications, we prove the existence of a non-trivial deformation family of representations of S ...

BELGIAN MATHEMATICAL SOC TRIOMPHE2020

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

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

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, Iztok Zun

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

Cobordism, Cohomology Theories and Formal Group Laws

Lev Kiwi

We first explore the notion of G-manifold, cobordism and then discuss the generalized Pontrjagin-Thom Theorem. We then compute the cobordism rings Ω (...) using stable homotopy theory. Secondly, we investigate the relations between cohomology theories and ...

2011

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

Stephen Ducret

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

Coherent sheaf cohomology

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BPS invariants from p-adic integrals

Imaging the Ultrafast Coherent Control of a Skyrmion Crystal

Vanishing theorems in positive characteristic

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

Notes on functions of hyperbolic type

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

Ultrafast tristable spin memory of a coherent polariton gas

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

Cobordism, Cohomology Theories and Formal Group Laws

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

Vanishing theorems in positive characteristic

BPS invariants from p-adic integrals

Imaging the Ultrafast Coherent Control of a Skyrmion Crystal

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

Ultrafast tristable spin memory of a coherent polariton gas

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

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

Notes on functions of hyperbolic type

Cobordism, Cohomology Theories and Formal Group Laws

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