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Beskrivning
Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject, and in other subjects.
José Luis Cisneros-Molina (PhD, University of Warwick 1999) is a full-time researcher at the Mathematics Institute of the National Autonomous University of Mexico. His research interests are in Algebraic and Differential Topology, Differential Geometry and Singularity Theory, with a particular focus on generalizations of Milnor Fibrations for complex and real analytic maps.Dũng Tráng Lê (PhD, University of Paris 1969) is an Emeritus Professor at Aix-Marseille University. Previously he was Professor at the Universities of Paris VII (1975–1999) and Marseille, and was head of Mathematics at the ICTP at Trieste. One of the founders of modern Singularity Theory, he has made numerous contributions to morsification, the topology of complex singularities, polar varieties, carousels, among other topics.José Seade (DPhil, University of Oxford 1980) is a full-time researcher at the Mathematics Institute of the National Autonomous University of Mexico. His research is in the theory of indices of vector fields and Chern classes for singular varieties, with applications to foliations, and Milnor’s fibration theorem for analytic maps. In 2007 he was awarded the Ferran Sunyer i Ballaguer prize, and he was awarded the 2021 Solomon Lefschetz Medal by the Mathematical Council of the Americas.
Innehållsförteckning
1 Maria Aparecida Soares Ruas, Old and new results on density of stable mappings.- 2 David Mond and Juan José Nuño-Ballesteros, Singularities of mappings.- 3 Javier Fernández de Bobadilla, Topological equisingularity: old problems from a new perspective (With an appendix by G. -M. Greuel and G. Pfister on Singular).- 4 András Némethi, Surface singularities, Seiberg–Witten invariants of their links and lattice cohomology.- 5 Jean-Paul Brasselet, Characteristic classes.- 6 Paolo Aluffi, Segre classes and invariants of singular varieties.- 7 Roberto Callejas-Bedregal†, Michelle F. Z. Morgado and José Seade, Milnor number and Chern classes for singular varieties: an Introduction.- 8 Tatsuo Suwa, Residues and hyperfunctions.- 9 Joseph Steenbrink, Mixed Hodge structures applied to singularities.- 10 Laurentiu G. Maxim and Jörg Schürmann, Constructible sheaf complexes in complex geometry and Applications.