Symposium Abstract

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.

Speakers

Bingyi Chen (Sun Yat-sen University) -Effective bounds for singularities on Fano fibrations    

Liang Chen (Northeastern Normal University) -Singular submanifolds in non-flat space from Legendrian dualities viewpoint    

Yifan Chen (Tsinghua University) -On stringy invariant of $\mathbb{Q}$-Gorenstein varieties via $\mathbb{Q}$-embedded resolution

Yifei Chen (Institute of Mathematics, Chinese Academy of Sciences) -Flops connecting minimal models

Jinsan Cheng (Chinese Academy of Science) -Singularities of the intersection of parametric surfaces and its applications

Huhe Han (Northwest A&F University) -Approximation of spherical convex bodies of constant width

Hiroyuki Hayashi (Kobe university) -Geometry on curves passing through Whitney umbrella

Chuangqiang Hu (BIMSA) -On the k-th Tjurina number of weighted homogeneous singularities

Shihoko Ishii (The University of Tokyo) -Lifting of ideals in positive characteristic to those in characteristic zero

Stanislaw Janeczko(Warsaw University of Technology) -Singular points of generalized symplectic mappings

Goo Ishikawa (Hokkaido University) -Japan Notes on singularities theory of mappings over dual numbers

Miyuki Koiso (Kyushu University) -Intrinsic singular points and curvatures of piecewise-smooth surfaces and their applications

Junzhen Li (Kobe University, Japan) -Geometry of Gluing Developable Surfaces

Yanlin Li(Hangzhou Normal University) -The singularities and geometrics of evolutoids of non-lightlike surfaces in Minkowski 3-space

Guorui Ma (Tsinghua University) -Low-Dimensional Tori in Calogero-Moser Systems

Fanning Meng (Guangzhou University) -On the Yau sequence over star-shaped dual resolution graph

Graham Reeve (Liverpool Hope University) -Circles of a Surface and their Centres

Agustin Romano-Velazquez (University of Mexico) -Reflexive modules on quotient surface singularities

Kentaro Saji (Kobe University, Japan) -Normal form of the central singularities of D4-bifurcation of fronts and its applications

Quan Shi (Tsinghua University) -Motivic Principal Value Integral for Hyperplane Arrangements

Siyong Tao (Tsinghua University) -Bernstein-Sato roots for weighted homogeneous polynomials in positive characteristic

Yang Wang(Tsinghua University)-The weights of three types of isolated curve singularities are determined by Hodge ideals

Zida Xiao(Tsinghua University)-On the Nakai Conjecture for some singularities

Xun Yu (Tianjin university) -On automorphism groups of smooth hypersurfaces

Beihui Yuan (BIMSA) -Invariants of a hypersurface singularity by Waring decomposition

Chunping Zhong (Xiamen University) -Schwarz lemma for Finsler metrics on the classical domains

Call for Presentations

We kindly invite all speakers to submit their presentation abstracts for the symposium. Please click the link below to access the submission page and follow the provided instructions to complete the required information. We look forward to your valuable contributions!

https://conf.issa.bimsa.cn/formrender/formview/FT1I7NGVB5IQCVVF?appkey=A1I7NGTQBTQMVVE&lang=en-US