Topologie algébrique

Multiplicity-free Representations of Algebraic Groups

Let K be an algebraically closed field of characteristic zero, and let G be a connected reductive algebraic group over K. We address the problem of classifying triples (G, H, V ), where H is a proper connected subgroup of G, and V is a finitedimensional ir ...

Amer Mathematical Soc2024

Distributed Lossy Computation with Structured Codes: From Discrete to Continuous Sources

Michael Christoph Gastpar, Sung Hoon Lim, Adriano Pastore, Chen Feng

This paper considers the problem of distributed lossy compression where the goal is to recover one or more linear combinations of the sources at the decoder, subject to distortion constraints. For certain configurations, it is known that codes with algebra ...

2023

Discovering Influencers in Opinion Formation Over Social Graphs

Ali H. Sayed, Mert Kayaalp, Valentina Shumovskaia, Mert Cemri

The adaptive social learning paradigm helps model how networked agents are able to form opinions on a state of nature and track its drifts in a changing environment. In this framework, the agents repeatedly update their beliefs based on private observation ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2023

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

Coxeter Combinatorics For Sum Formulas In The Representation Theory Of Algebraic Groups

Jonathan Gruber

Let G be a simple algebraic group over an algebraically closed field F of characteristic p >= h, the Coxeter number of G. We observe an easy 'recursion formula' for computing the Jantzen sum formula of a Weyl module with p-regular highest weight. We also d ...

AMER MATHEMATICAL SOC2022

A Shadow Perspective on Equivariant Hochschild Homologies

Kathryn Hess Bellwald, Inbar Klang

Shadows for bicategories, defined by Ponto, provide a useful framework that generalizes classical and topological Hochschild homology. In this paper, we define Hochschild-type invariants for monoids in a symmetric monoidal, simplicial model category V, as ...

OXFORD UNIV PRESS2022

Figlearn: Filter And Graph Learning Using Optimal Transport

Pascal Frossard, Mireille El Gheche, Matthias Minder, Zahra Farsijani

In many applications, a dataset can be considered as a set of observed signals that live on an unknown underlying graph structure. Some of these signals may be seen as white noise that has been filtered on the graph topology by a graph filter. Hence, the k ...

IEEE2021

Algebraic Homotopy Interleaving Distance

Nicolas Michel Berkouk

The theory of persistence, which arises from topological data analysis, has been intensively studied in the one-parameter case both theoretically and in its applications. However, its extension to the multi-parameter case raises numerous difficulties, wher ...

SPRINGER INTERNATIONAL PUBLISHING AG2021

Improving First-Order Threshold Implementations of SKINNY

Subhadeep Banik, Andrea Felice Caforio, Ognjen Glamocanin, Daniel Patrick Collins

Threshold Implementations have become a popular generic technique to construct circuits resilient against power analysis attacks.In this paper, we look to devise efficient threshold circuits for the lightweight block cipher family SKINNY. The only threshol ...

Springer2021

Topologie algébrique

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Cochains are all you need

Multiplicity-free Representations of Algebraic Groups

Distributed Lossy Computation with Structured Codes: From Discrete to Continuous Sources

Discovering Influencers in Opinion Formation Over Social Graphs

Landau levels of the Euler class topology

Coxeter Combinatorics For Sum Formulas In The Representation Theory Of Algebraic Groups

A Shadow Perspective on Equivariant Hochschild Homologies

Figlearn: Filter And Graph Learning Using Optimal Transport

Algebraic Homotopy Interleaving Distance

Improving First-Order Threshold Implementations of SKINNY

Cochains are all you need

Multiplicity-free Representations of Algebraic Groups

Distributed Lossy Computation with Structured Codes: From Discrete to Continuous Sources

Discovering Influencers in Opinion Formation Over Social Graphs

Coxeter Combinatorics For Sum Formulas In The Representation Theory Of Algebraic Groups

A Shadow Perspective on Equivariant Hochschild Homologies

Algebraic Homotopy Interleaving Distance

Landau levels of the Euler class topology

Figlearn: Filter And Graph Learning Using Optimal Transport

Improving First-Order Threshold Implementations of SKINNY