TopoNets 2021

Networks beyond pairwise interactions

Satellite @ Networks 2021 - NetSci + Sunbelt - June 30th

ONLINE

The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past two decades, a great variety of complex systems has been successfully described as networks whose interacting pairs of nodes are connected by links. Yet, from face-to-face human communications to chemical and biological reactions, many interactions in networked systems cannot be described by simple dyads, as they can occur in groups composed by any number of units. Until recently, little attention has been devoted to such high-order architecture of real complex systems. However, a mounting body of evidence is showing that taking the high-order structure of these systems into account can greatly enhance our modelling capacities and help us to understand and predict their emerging dynamical behaviours.

The aim of this satellite is to provide a coherent window on the emerging subfield of networks beyond pairwise interactions. In particular, we will discuss how to represent higher-order interacting systems, and how to unify the diverse frameworks most commonly used to describe higher-order interactions, highlighting the numerous links between the existing concepts and representations. We also focus on recent advancements on the structural measures developed to characterize the structure of these systems, on the related generative models, and on novel emergent phenomena characterizing landmark dynamical processes when extended beyond pairwise interactions.

KEYNOTE SPEAKERS

Centre de Physique Théorique, Marseille

Vanishing size of critical mass for tipping points in social convention

Vrije Universiteit Amsterdam

Dynamics of phase oscillator networks with higher-order interactions

Queen Mary University of London

Ample simplicial complexes as resilient networks

Amsterdam UMC - VUMC

Synchronization dynamics on simplicial complexes with high-order interactions

The Alan Turing Institute

Spectral theory of hypergraphs

Trinity College

Improved synchronization and forced diffusion in networks with higher-order interactions

University of Canterbury, New Zealand

The many and diverse signals of higher-order ecological interactions


Max Planck Institute for Dynamics and Self-Organization

Topology protects chiral edge currents in stochastic networks

PROGRAMME

11:45 -18:45 CEST [5:45 AM - 12:45 PM EDT]

  • 11:45 - 12:00 CEST [5:45 AM - 6:00 AM EDT] Welcome and Introduction

  • 12:00 - 13:30 CEST [6:00 AM - 7:30 AM EDT] Session I

    • Daniel B. Stouffer

The many and diverse signals of higher-order interactions
    • Cristian Bodnar, Fabrizio Frasca, Yu Guang Wang, Nina Otter, Guido Montúfar, Pietro Liò and Michael Bronstein

Weisfeiler and Lehman Go Topological: Message Passing Simplicial Networks
  • Bradly Alicea

Euler Cycles for "Life": developing biological structure using multi-cell networks
    • Ana P. Millán Vidal

Synchronization dynamics on simplicial complexes with high-order interactions
  • 13:30 - 13:40 CEST [7:30 AM - 7:40 AM EDT] Virtual Coffee Break

  • 13:40 - 15:10 CEST [7:40 AM - 9:10 AM EDT] Session II

    • Raffaella Mulas

Spectral theory of hypergraphs
    • Giulia Preti, Gianmarco De Francisci Morales and Francesco Bonchi

Topological Analysis of Complexes via Truss Decomposition
    • Karel Devriendt and Renaud Lambiotte

Convergence of resistance curvature in Euclidean random graphs
    • Michael Farber

Ample simplicial complexes as resilient networks
  • 15:10 - 15:20 CEST [9:10 AM - 9:20 AM EDT] Virtual Coffee Break

  • 15:20 - 16:50 CEST [9:20 AM - 10:50 AM EDT] Session III

    • Evelyn Tang

Topology protects chiral edge currents in stochastic networks
    • Giulio Burgio, Alex Arenas, Sergio Gómez and Joan T. Matamalas

Complex contagions in higher-order networks: a microscopic markovian model
  • Nicholas Landry, Juan Restrepo

Hypergraph community structure and the emergence of polarization
    • Alain Barrat

Vanishing size of critical mass for tipping points in social convention
  • 16:50 - 17:00 CEST [10:50 AM - 11:00 AM EDT] Virtual Coffee Break

  • 17:00 - 18:30 CEST [11:00 AM - 12:30 PM EDT] Session IV

    • Per Sebastian Skardal

Improved synchronization and forced diffusion in networks with higher-order interactions
    • Anastasiya Salova and Raissa M D'Souza

Extending cluster synchronization analysis beyond dyadic interactions
  • Hanlin Sun and Ginestra Bianconi

Higher-order percolation processes on multiplex hypergraphs
    • Christian Bick

Dynamics of phase oscillator networks with higher-order interactions
  • 18:30 - 18:45 CEST [12:30 PM - 12:45 PM EDT] Final Remarks & Virtual Drinks

REGISTRATION

All meeting participants need to be registered to the main conference here.

ORGANIZERS

Federico Battiston

Central European University

Iacopo Iacopini

Aix-Marseille Université

Giovanni Petri

ISI Foundation

Francesco Vaccarino

Polytechnic University of Turin

PROGRAM COMMITTEE

  • Ginestra Bianconi (QMUL, UK)

  • Ulderico Fugacci (IMATI, IT)

  • Jacopo Grilli (ICTP, IT)

  • Vito Latora (QMUL, UK)

  • Alice Patania (IUNI, US)

  • Michael Schaub (RWTH Aachen University, DE)


CALL FOR ABSTRACTS (CLOSED)

The satellite will have space for contributed talks in the form of 10/15-minute presentations. Participants are invited to submit an abstract in PDF format using the EasyChair website (button below).

Topics of interest relate to higher-order structures (HOrSs) and network topology, and include

  • Higher-order representations of interacting systems

  • Structural measures for HOrS

  • Generative models for HOrS (growing simplicial complexes, bipartite graphs, hypergraphs etc.)

  • Dynamical processes on HOrS (diffusion, spreading, synchronization, games etc.)

  • Applications to real-world systems (TDA)

  • Stochastic topology

  • Topological properties of network embedding into metric or pseudo-metric spaces

  • Topological properties of geometric representations of networks

Submissions should be at most 2 pages long (figure included) and should include: title, author(s), affiliation(s), and e-mail address(es).

Submissions will be evaluated and selected by the Program Committee members, based on the adherence with the theme of the satellite, originality and scientific soundness.

Deadline for submissions: April 23.

Acceptance notifications: Early May.


Authors not already registered on EasyChair should sign up for an account (please note: make sure to use the same email address as the one used for the conference registration).