Report on New Challenges for Dirac Operators Workshop

This five-day international workshop provided a highly collaborative forum for discussing recent
advancements and emerging trajectories in the analysis and spectral theory of Dirac-type operators.
The primary goal was to foster an exchange of ideas and current challenges among global experts
and early-career researchers sharing common interests in mathematical physics.
The scientific scope of the conference aligned with the core research pillars of the mSPACE
COST Action, focusing on:

  • Spectral properties of Dirac operators, including non-self-adjoint problems.
  • Boundary value problems, transmission shell interactions, and asymptotic analysis.
  • The intricate interplay between geometry and spectral theory via Faber-Krahn inequalities.
  • Concrete applications in relativistic Quantum Mechanics, solid-state Physics, graphene,
    and nonlinear dynamics.

mSPACE members actively structured the scientific discourse by serving as session chairs
throughout the week:

  • Vincent Bruneau chaired the Thursday morning session on spectral enclosures and
    expansions.
  • Albert Mas chaired the final Friday session, overseeing the poster award lectures and
    concluding talks. 

Please check the detailed report for the more info.

COST

COST (European Cooperation in Science and Technology) is a funding agency for research and innovation networks. Our Actions help connect research initiatives across Europe and enable scientists to grow their ideas by sharing them with their peers. This boosts their research, career and innovation.

CA24122

Multiscale systems, where intricate dynamics arise from the interplay of interactions across various scales, are pervasive in nature and society. mSPACE seeks to establish a rigorous mathematical foundation for understanding and analyzing them.

© 2026 Cost Action CA24122 | multiscale Stochastics, Patterns, and Analysis of Combinatorial Environments (mSPACE)