Publications related to Algebraic geometry

Reduced representations of complexes, signals, and multifiltrations

The field of computational topology has developed many powerful tools to describe the shape of data, offering an alternative point of view from classical statistics. This results in a variety of complex structures that are not always directly amenable for ...

EPFL2022

Anchorage of shear reinforcement in beams and slabs

Aurelio Muttoni, Qianhui Yu, Miguel Fernández Ruiz, Frédéric Monney

Anchorage of shear reinforcement, such as links or stirrups, can be performed by providing hooks, bends or heads at their ends, by welding transverse reinforcement or by closing open stirrups with pins. Hooks and bends, also used to enhance the anchorage o ...

ELSEVIER SCI LTD2022

Unramified F-divided objects and the etale fundamental pro-groupoid in positive characteristic

Giulio Orecchia

Let X /S be a flat algebraic stack of finite presentation. We define a new & eacute;tale fundamental pro-groupoid pi(1)(X /S), generalizing Grothendieck's enlarged & eacute;tale fundamental group from SGA 3 to the relative situation. When S is of equal pos ...

GEOMETRY & TOPOLOGY PUBLICATIONS2022

Integrated Model for Comprehensive Digital Education Platforms

Denis Gillet, Maria Jesus Rodriguez Triana, Isabelle Barbara Marie-Hélène Cardia, Juan Carlos Farah, Kim Lan Phan Hoang

The trend towards generalized blended and active learning approaches in engineering education is redefining the requirements and the deployment schemes for digital education platforms. This paper presents a quadriptych techno- pedagogical model highlightin ...

IEEE2022

Collapse-invariant properties of spaces equipped with signals or directions

Stefania Ebli

Collapsing cell complexes was first introduced in the 1930's as a way to deform a space into a topological-equivalent subspace with a sequence of elementary moves. Recently, discrete Morse theory techniques provided an efficient way to construct deformatio ...

EPFL2022

Nanobridge Stencil Enabling High Resolution Arbitrarily Shaped Metallic Thin Films on Various Substrates

Jürgen Brugger, Giovanni Boero, Yi-Chiang Sun

Stencil lithography (SL), which uses a perforated membrane as a reusable shadow mask to locally add material patterns on substrates provides a simple but versatile approach for the fabrication of functional devices on a large variety of substrate materials ...

WILEY2022

A Hopf algebra model for Dwyer's tame spaces

Haoqing Wu

In this thesis, we give a modern treatment of Dwyer's tame homotopy theory using the language of

\infty

-categories.We introduce the notion of tame spectra and show it has a concrete algebraic description.We then carry out a study of

\infty

-operads and ...

EPFL2022

Landau levels of the Euler class topology

Oleg Yazyev, Yifei Guan

Two-dimensional systems with C2T (PT) symmetry exhibit the Euler class topology E is an element of Z in each two-band subspace realizing a fragile topology beyond the symmetry indicators. By systematically studying the energy levels of Euler insulating pha ...

AMER PHYSICAL SOC2022

Utilizing additive manufacturing and mass customization under capacity constraints

Ralf Seifert, Anna Timonina-Farkas, Rachel Agnès Laetitia Rosemonde Marie Lacroix

Additive manufacturing (AM), originally used for prototyping, is increasingly adopted for custom final part production across different industries. However, printing speed and production volume are two barriers for the adoption of AM for product customizat ...

SPRINGER2022

On the Grothendieck-Serre conjecture for classical groups

Eva Bayer Fluckiger

We prove some new cases of the Grothendieck-Serre conjecture for classical groups. This is based on a new construction of the Gersten-Witt complex for Witt groups of Azumaya algebras with involution on regular semilocal rings, with explicit second residue ...

WILEY2022

Algebraic geometry

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Reduced representations of complexes, signals, and multifiltrations

Anchorage of shear reinforcement in beams and slabs

Unramified F-divided objects and the etale fundamental pro-groupoid in positive characteristic

Integrated Model for Comprehensive Digital Education Platforms

Collapse-invariant properties of spaces equipped with signals or directions

Nanobridge Stencil Enabling High Resolution Arbitrarily Shaped Metallic Thin Films on Various Substrates

A Hopf algebra model for Dwyer's tame spaces

Landau levels of the Euler class topology

Utilizing additive manufacturing and mass customization under capacity constraints

On the Grothendieck-Serre conjecture for classical groups

Reduced representations of complexes, signals, and multifiltrations

Collapse-invariant properties of spaces equipped with signals or directions

Nanobridge Stencil Enabling High Resolution Arbitrarily Shaped Metallic Thin Films on Various Substrates

Unramified F-divided objects and the etale fundamental pro-groupoid in positive characteristic

Anchorage of shear reinforcement in beams and slabs

A Hopf algebra model for Dwyer's tame spaces

On the Grothendieck-Serre conjecture for classical groups

Landau levels of the Euler class topology

Integrated Model for Comprehensive Digital Education Platforms

Utilizing additive manufacturing and mass customization under capacity constraints