The arrangement of point configurations in metric spaces, whether deterministic or random, is a truly interdisciplinary topic of great interest in mathematics, physics and computer science. Mathematical aspects involve optimization, discretization of manifolds, best packing and cubature, among others. For physics, such configurations arise in the study of crystallization, point processes connected with random matrices, self-assembling materials, jammed states, hyperuniformity and phase transitions. For computer science, extremal point configurations play a fundamental role in coding and information theory, and lattice-based protocols in cryptography and related computational complexity issues are of growing importance. Furthermore, there has been recent and substantial progress on related age-old problems (such as the Kepler conjecture).
The investigation of the above topics often evolves from the development of efficient computational methods that enable extensive numerical experiments. In turn, these experiments suggest conjectures that become the focus of rigorous theorem proving, which may also require some computer assistance. The program topics include random point configurations, computation and optimization of energy, packing and covering, multi-pole methods, sparsity, and frames, and the theory of lattices with applications to coding and cryptography.
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Semester Schedule
Thursday, February 01, 2018
9:00 AM - 4:00 PM EST
Participant Check-In
Location: 121 South Main Street, Providence, RI, United States 11th Floor
3:30 - 4:00 PM EST
Informal Coffee/Tea Break
Location: 11th Floor Collaborative Space
Friday, February 02, 2018
3:30 - 4:00 PM EST
Coffee and Tea Break
Location: 11th Floor Collaborative Space
Monday, February 05, 2018
9:30 - 10:00 AM EST
Program Welcome - Brendan Hassett, ICERM Director
Location: 11th Floor Lecture Hall
10:00 - 10:30 AM EST
Program Organizer Welcome
Location: 11th Floor Lecture Hall
11:00 AM - 12:00 PM EST
Postdocs and Graduate Student Meeting with ICERM Directorate
Location: 11th Floor Conference Room
3:30 - 4:00 PM EST
Coffee and Tea Break
Location: 11th Floor Collaborative Space
5:00 - 6:30 PM EST
Welcome Reception
Location: 11th Floor Collaborative Space
Tuesday, February 06, 2018
3:30 - 4:00 PM EST
Coffee and Tea Break
Location: 11th Floor Collaborative Space
Wednesday, February 07, 2018
1:00 - 2:00 PM EST
Computational Challenges Working Group: Discussion of Software Packages Related to Program - Henry Cohn, Microsoft Research
Location: 11th Floor Conference Room
3:30 - 4:00 PM EST
Coffee and Tea Break
Location: 11th Floor Collaborative Space
Thursday, February 08, 2018
2:00 - 2:10 PM EST
Ice Breaker Talk - David de Laat, CWI, Netherlands
