Soft packings, nested clusters, and condensed matter

September 19 to September 23, 2016

at the

American Institute of Mathematics, San Jose, California

organized by

Karoly Bezdek, Nikolai Dolbilin, Egon Schulte, and Marjorie Senechal

Original Announcement

This workshop will be devoted to modeling the geometry of condensed matter. The workshop will focus on "soft packing" and "nested clustering" phenomena in discrete geometric structures and their applications to understanding the internal atomic structure of solids and fluids. In particular, the workshop seeks to integrate the theories of tilings, coverings, and packings, and to develop new discrete geometric concepts and tools needed to study aperiodic structures such as aperiodic crystals.

The main problems for the workshop include:

These three problem areas are interrelated and arise in applications.

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

A list of open problems.

Papers arising from the workshop:
Bounds for totally separable translative packings in the plane