Workshop - Global singularity theory and curves  09 - 13 May 2016

Global singularity theory is part of enumerative geometry concerned with universal polynomials expressing fundamental cohomology classes of multi-singularity submanifolds. The field was founded by René Thom in the 50’s, and saw some important developments in the past decade. Recent works show that the universal polynomials are related to interpolation theory in several variables, quivers, Landweber-Novikov classes, K-theory and counting curves on surfaces.
Global singularity theory, when applied to maps between parameter or moduli spaces of algebraic objects, enumerates singular objects in a family. In particular, it could be used to count singular hypersurfaces in the style of the Gottsche conjecture and its variants.
The goal of the workshop is to bring together experts in several fields to compare the global singularity theory approach with other effective tools of enumerative geometry coming from classical algebraic geometry and tropical geometry.
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