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Organizing Committee
James Madison University
The Florida State University
Cornell University
Harvard
Lancaster University
Abstract
This workshop brings together two distinct streams of mathematics - on the one hand, the classical rigidity theory of bar-joint frameworks in combinatorics and discrete geometry, and on the other the theory of generalized circle packings that arose from the study of 3-manifolds in geometric topology.
Combinatorial and Geometric rigidity theory is concerned with the local and global uniqueness of congruence classes of frameworks as solutions to their underlying geometric constraint system.
The focal point of circle packing theory is the Koebe-Andre'ev-Thurston Theorem that gives conditions that guarantee the existence and rigidity of circle packings on closed surfaces in the pattern of a given triangulation of the surface.
A scattering of results in recent years has started to forge connections between these research areas. The main aim of the workshop is to develop a cross-fertilization of such ideas, with particular emphasis on the rigidity of inversive distance packings. As well as presentations on cutting edge research, the workshop will be an opportunity for new collaborations to emerge.
Combinatorial and Geometric rigidity theory is concerned with the local and global uniqueness of congruence classes of frameworks as solutions to their underlying geometric constraint system.
The focal point of circle packing theory is the Koebe-Andre'ev-Thurston Theorem that gives conditions that guarantee the existence and rigidity of circle packings on closed surfaces in the pattern of a given triangulation of the surface.
A scattering of results in recent years has started to forge connections between these research areas. The main aim of the workshop is to develop a cross-fertilization of such ideas, with particular emphasis on the rigidity of inversive distance packings. As well as presentations on cutting edge research, the workshop will be an opportunity for new collaborations to emerge.
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Lecture Videos
Kenneth Stephenson
University of Tennessee
July 6, 2020 • 12:00 AM
Bill Jackson
Queen Mary University of London
July 6, 2020 • 12:00 AM
Karim Adiprasito
Hebrew University of Jerusalem
July 6, 2020 • 12:00 AM
Feng Luo
Rutgers University
July 6, 2020 • 12:00 AM
Robert Connelly
Cornell University
July 6, 2020 • 12:00 AM
Thomas Fernique
CNRS & Université Sorbonne Paris Cité
July 7, 2020 • 12:00 AM
Miranda Holmes-Cerfon
CIMS
July 7, 2020 • 12:00 AM
Meera Sitharam
University of Florida
July 7, 2020 • 12:00 AM
Kaie Kubjas
Aalto University
July 8, 2020 • 12:00 AM
Ileana Streinu
Smith College
July 8, 2020 • 12:00 AM
Xianfeng Gu
Stony Brook University
July 8, 2020 • 12:00 AM
Jean-Marc Schlenker
University of Luxembourg
July 9, 2020 • 12:00 AM
Opal Graham
Florida State University
July 9, 2020 • 12:00 AM
Orit Raz
Hebrew University of Jerusalem
July 9, 2020 • 12:00 AM
William Floyd
Virginia Tech
July 9, 2020 • 12:00 AM
Sebastian Cioaba
University of Delaware
July 9, 2020 • 12:00 AM
Wai Yeung Lam
Université du Luxembourg
July 10, 2020 • 12:00 AM
Brigitte Servatius
Worcester Polytechnic Institute
July 10, 2020 • 12:00 AM
Alexander Bobenko
Technische Universität Berlin
July 8, 2020 • 12:00 AM
Ciprian Borcea
Rider University
July 10, 2020 • 12:00 AM
Shin-ichi Tanigawa
University of Tokyo
July 8, 2020 • 12:00 AM