This volume contains the proceedings of the AMS Special Session on
Polytopes and Discrete Geometry, held from April 21-22, 2018, at
Northeastern University, Boston, Massachusetts. The papers showcase
the breadth of discrete geometry through many new methods and
results in a variety of topics. Also included are survey articles
on some important areas of active research. This volume is aimed at
researchers in discrete and convex geometry and researchers who
work with abstract polytopes or string $C$-groups. It is also aimed
at early career mathematicians, including graduate students and
postdoctoral fellows, to give them a glimpse of the variety and
beauty of these research areas. Topics covered in this volume
include: the combinatorics, geometry, and symmetries of convex
polytopes; tilings; discrete point sets; the combinatorics of
Eulerian posets and interval posets; symmetries of surfaces and
maps on surfaces; self-dual polytopes; string $C$-groups;
hypertopes; and graph coloring.
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