Organizing Committee
Universität Rostock
Princeton University
University of Cologne
University of New South Wales
Abstract
The packing and covering of equal geometric shapes, such as spheres or convex polyhedra, are classical geometric optimization problems. They have a long mathematical tradition and were for instance part of Hilbert's famous twenty-three problems for the 20th century. Nevertheless, seemingly simple packing and covering problems are still extremely hard to solve and generally, far from a solution. Likewise, minimal energy problems for pair potentials, of which best-packing is a special case, have many such unresolved questions.
However, in recent years several new developments with computer assisted approaches have led to previously unexpected breakthrough results. These involve massive computer searches and techniques from numerical optimization, as well as the creation and application of new optimization techniques, such as specific semi-definite programming bounds. New techniques for computer assisted certified proofs allow one to obtain results that would otherwise have been difficult, if not impossible, to check.
During this workshop, we will bring together energy, packing and covering experts from these new computation-based research directions.
However, in recent years several new developments with computer assisted approaches have led to previously unexpected breakthrough results. These involve massive computer searches and techniques from numerical optimization, as well as the creation and application of new optimization techniques, such as specific semi-definite programming bounds. New techniques for computer assisted certified proofs allow one to obtain results that would otherwise have been difficult, if not impossible, to check.
During this workshop, we will bring together energy, packing and covering experts from these new computation-based research directions.
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Workshop Schedule
Monday, April 09, 2018
8:30 - 8:55 AM EDT
Registration
Location: 121 South Main Street Providence RI 11th Floor Collaborative Space
8:55 - 9:00 AM EDT
Welcome - ICERM Director
Location: 11th Floor Lecture Hall
10:00 - 10:30 AM EDT
Coffee/Tea Break
Location: 11th Floor Collaborative Space
12:30 - 2:30 PM EDT
Break for Lunch / Free Time
3:30 - 4:00 PM EDT
Coffee/Tea Break
Location: 11th Floor Collaborative Space
4:00 - 4:45 PM EDT
Complete positivity and distance-avoiding sets - Fernando de Oliveira Filho, Technical University Delft
Location: 11th Floor Lecture Hall
5:00 - 6:30 PM EDT
Welcome Reception
Location: 11th Floor Collaborative Space
Tuesday, April 10, 2018
Lecture Videos
Patrick Charbonneau
Duke University
April 9, 2018 • 12:00 AM
Antonello Scardicchio
International Centre for Theoretical Physics
April 9, 2018 • 12:00 AM
Joshua Socolar
Duke University
April 9, 2018 • 12:00 AM
Robert Womersley
University of New South Wales
April 10, 2018 • 12:00 AM
Randall Kamien
University of Pennsylvania
April 10, 2018 • 12:00 AM
Peter Grabner
Technische Universität Graz
April 11, 2018 • 12:00 AM
