Rigidity Theory Courses and Certifications

Institute for Advanced Study

Arithmetic Groups - Advanced Topics in Rigidity, Cohomology, and Dynamics

Explore advanced topics in arithmetic groups including rigidity theorems, congruence subgroups, bounded generation, and connections to dynamics and geometry.

• YouTube
• 1 day 54 minutes
• On-Demand
• Free Video

Fields Institute

Geometric Constraint Systems

Explore rigidity theory, tropical geometry, matrix completion, and graphical models through comprehensive lectures on geometric constraint systems and their applications in data science.

• YouTube
• 20 hours 48 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Follow-up Workshop to TP Rigidity

Explore advanced mathematical rigidity theory through expert lectures on acylindrically hyperbolic groups, K-theory, mapping class groups, and the Farrell-Jones Conjecture.

• YouTube
• 12 hours 9 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Starting with the Gauss-Bonnet Formula - Rigidity Phenomena on Bounded Symmetric Domains

Explore rigidity phenomena on bounded symmetric domains through the Gauss-Bonnet formula, covering Hermitian metric rigidity, holomorphic maps, and applications to complex geometry.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Partially Hyperbolic Actions of Semisimple Lie Groups

Explore recent progress in classifying higher-rank semisimple group actions with uniformly expanding and contracting directions, building on Zimmer's foundational rigidity results.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

ICTP Mathematics

On Rigidity Theory for Circle Maps With Breaks - Konstantin Khanin

Explore rigidity theory for circle maps with breaks, delving into mathematical concepts and their applications in this advanced mathematics lecture by Konstantin Khanin.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Fields Institute

Rigidity Theory for Gaussian Graphical Models - The Maximum Likelihood Threshold of a Graph

Explore rigidity theory's application to Gaussian graphical models, focusing on maximum likelihood thresholds and their implications for data analysis in genomics and other fields.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Geometric Folding Algorithms: Linkages, Origami, Polyhedra

This course focuses on the algorithms for analyzing and designing geometric foldings. Applications to architecture, robotics, manufacturing, and biology are also covered in this course.

• MIT OpenCourseWare
• 43 hours
• On-Demand
• Free Video

Paul G. Allen School

Theory Seminar - On Linear Data Structures and Matrix Rigidity, Sivaramakrishnan Ramamoorthy

Explores systematic linear data structures, rectangular rigidity, and their equivalence. Discusses rigidity lower bounds and Cayley graphs, presenting recent research findings and open problems.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Corona Rigidity in Operator Theory and C*-Algebras

Explore corona rigidity in operator theory, examining extensions of Weyl-von Neumann theorem and its implications for C*-algebras, Calkin algebra, and isomorphisms of quotients.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Fields Institute

Workshop on Real Algebraic Geometry and Algorithms for Geometric Constraint Systems

Explore advanced topics in real algebraic geometry, geometric constraints, and computational methods through expert presentations on frameworks, optimization, and discrete geometry.

• YouTube
• 14 hours 24 minutes
• On-Demand
• Free Video

Fields Institute

Workshop on Distance Geometry - Semidefinite Programming and Applications

Explore advanced mathematical techniques connecting distance geometry, semidefinite programming, and polynomial optimization through expert presentations and research insights.

• YouTube
• 14 hours 26 minutes
• On-Demand
• Free Video

Fields Institute

Harmonic Maps and Rigidity

Explore harmonic maps, rigidity theorems, and their applications in geometry. Delve into existence theory, Mostow's strong rigidity, and approaches to rigidity using harmonic maps and the Bochner method.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Integrable Billiards and Rigidity - Lecture 1

Explore integrable billiards and the Birkhoff-Poritsky conjecture, focusing on Hopf-type rigidity and its extension to Twist symplectic maps and billiards.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Integral Measure Equivalence versus Quasi-Isometry for Right-Angled Artin Groups

Explorez les liens entre équivalence de mesure intégrable et quasi-isométrie pour certains groupes d'Artin à angles droits, en examinant leurs propriétés et résultats de rigidité.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video