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International Symposium on Singularities and Applications

奇点及其应用国际研讨会

会议编号:  M241201

时间:  2024-12-09 ~ 2024-12-13

浏览次数:  3268

组织者:   Stephen S.-T. Yau, Stanislaw Janeczko, Huaiqing Zuo, Zhiwen Liu

会议介绍

    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


组织者

Stephen S.-T. Yau, Tsinghua University&BIMSA
Stanislaw Janeczko, Warsaw University of Technology
Huaiqing Zuo, Tsinghua University
Zhiwen Liu, BIMSA

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