北京雁栖湖应用数学研究院

The purpose of this symposium is to bring together experts from various fields of singularity theory. These specialists' research areas will span from classical singularity theory to new branches of the exact and natural sciences, including mathematical modeling and its applications. We plan to invite keynote speakers who will showcase different aspects, primarily focusing on algebraic and analytic problems in singularity theory based on geometry. The discussions will center around singularity theory and related fields, including: singularities of smooth mappings and differential forms, subanalytic sets and semi-algebraic sets, Lipschitz stratifications, real algebraic singularities, Lagrangian and Legendrian singularities, asymptotic behavior of caustics and wavefronts, symplectic singularities, local invariants, symplectic singularities, contact and Poisson spaces, local algebras of singularities, resolutions of singularities, bifurcation of caustics and wavefronts, singular reduction, Hamiltonian systems and their generalizations, differential geometry of singularities, affine invariants of curves and surfaces, free divisors, torus actions, topology of singularities, and singularities of positive characteristic and singularities in algebraic geometry theory.

Description of the Aim

This symposium also aims to highlight the significance of mathematics in industrial and nanoscale sciences, particularly in nanomedicine. Mathematical and computational methods play a pivotal role in the theoretical understanding of nanomaterials. Both approaches provide effective theoretical and simulation tools for analyzing and interpreting experimental results, predicting the quantitative and qualitative behavior based on models, and controlling nanoscale systems. Mathematics also plays a crucial role in the interaction of these diverse disciplines, as they all rely on data, simulation, and visualization.