The biennial meetings at Sao Carlos have helped create a worldwide
community of experts and young researchers working on singularity
theory, with a special focus on applications to a wide variety of
topics in both pure and applied mathematics. The tenth meeting,
celebrating the 60th birthdays of Terence Gaffney and Maria
Aparecida Soares Ruas, was a special occasion attracting the best
known names in the area. This volume contains contributions by the
attendees, including three articles written or co-authored by
Gaffney himself, and survey articles on the existence of Milnor
fibrations, global classifications and graphs, pairs of foliations
on surfaces, and Gaffney's work on equisingularity.
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