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This volume is an original collection of articles by 44 leading
mathematicians on the theme of the future of the discipline. The
contributions range from musings on the future of specific fields,
to analyses of the history of the discipline, to discussions of
open problems and conjectures, including first solutions of
unresolved problems. Interestingly, the topics do not cover all of
mathematics, but only those deemed most worthy to reflect on for
future generations. These topics encompass the most active parts of
pure and applied mathematics, including algebraic geometry,
probability, logic, optimization, finance, topology, partial
differential equations, category theory, number theory,
differential geometry, dynamical systems, artificial intelligence,
theory of groups, mathematical physics and statistics.
This volume contains the proceedings of the conference A Panorama
on Singular Varieties, celebrating the 70th birthday of Le Dung
Trang, held from February 7-10, 2017, at the University of Seville,
IMUS, Seville, Spain. The articles cover a wide range of topics in
the study of singularities and should be of great value to graduate
students and research faculty who have a basic background in the
theory of singularities. This book is published in cooperation with
Real Sociedad Matematica Espanola.
This is the first part of the Proceedings of the meeting 'School
and Workshop on the Geometry and Topology of Singularities', held
in Cuernavaca, Mexico, from January 8th to 26th of 2007, in
celebration of the 60th Birthday of Le Dung Trang.This volume
contains fourteen cutting-edge research articles on algebraic and
analytic aspects of singularities of spaces and maps. By reading
this volume, and the accompanying volume on geometric and
topological aspects of singularities, the reader should gain an
appreciation for the depth, breadth, and beauty of the subject, and
also find a rich source of questions and problems for future study.
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