Symplectic Rigidity Courses and Certifications

International Centre for Theoretical Sciences

Resurgence Theory - Generalised Borel-Laplace Summation, "Alien Calculus" by David Sauzin

Explore advanced mathematical concepts in Resurgence Theory, including Borel-Laplace summation and "alien calculus," with applications in physics and dynamical systems.

• YouTube
• 1 hour 42 minutes
• Self-Paced
• Free Video

IMSA

Hodge Theory for Poisson Varieties and Nonperturbative Quantization

Explore Hodge theory for Poisson varieties and nonperturbative quantization, focusing on K-theory and mixed Hodge structures to simplify complex calculations in deformation quantization.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Sharp Threshold for Rigidity of Random Graphs

Explore the evolution of random graphs and discover key moments when they become rigid and globally rigid, with implications for vertex embedding and distance preservation.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

BPPB Seminar

Soft Particulate Gels - Timescales, Rigidity, and Their Hidden Hierarchical Nature

Delve into the complex world of soft particulate gels, exploring their timescales, rigidity properties, and hierarchical structures through advanced physical and biological perspectives.

• YouTube
• 31 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Rigidity and Examples in Complex Projective Varieties

Delve into rigidity properties of automorphisms in complex projective varieties through advanced mathematical concepts and real-world applications in algebraic dynamics.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Rigidity for Boundary Actions and Classification in Low Dimensions

Delve into advanced mathematical concepts exploring smooth classification of lattice actions and boundary action rigidity in SL(n,ℝ) manifolds, featuring innovative research findings.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Harvard CMSA

Unexpected Unitarity in Supersymmetric Quantum Field Theories

Delve into advanced concepts of Supersymmetric Quantum Field Theories, exploring twisted theories, unitarity restoration, and their applications in the Analytic Langlands program and Symplectic Duality.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Harvard CMSA

Quantization of Kähler Manifolds

Explore advanced mathematical concepts in geometric quantization and its relationships with deformation, Berezin-Toeplitz, and brane quantization in Kahler manifolds.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Harvard CMSA

Tensor Structures Associated to the N=1 Super Virasoro Algebra

Explore tensor structures and braided tensor categories in N=1 super Virasoro algebra representations, focusing on rigidity properties at specific central charges.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Simons Semester on Dynamics

Methods for Studying Abelian Actions and Centralizers - Lecture 1

Explore rigidity in dynamical systems, focusing on abelian actions and centralizers. Delve into methods for studying smooth coordinate changes, algebraic systems, and partially hyperbolic dynamics across six comprehensive lectures.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Relative Symplectic Cohomology of Pairs

Delve into advanced symplectic geometry concepts, focusing on relative symplectic cohomology's extension to subset pairs and its applications in demonstrating new symplectic rigidity phenomena.

• YouTube
• 28 minutes
• Self-Paced
• Free Video

INI Seminar Room 2

Rigidity of the Extremal Kerr-Newman Horizon

Delve into advanced mathematical concepts exploring the rigidity properties of extremal Kerr-Newman black hole horizons through an in-depth analysis of their geometric and physical characteristics.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Fields Institute

Nonperturbative Deformation Quantization via Quantum Hodge Theory

Delve into advanced mathematical concepts exploring nonperturbative deformation quantization through the lens of quantum Hodge theory, with insights from physics and geometric perspectives.

• YouTube
• 1 hour 47 minutes
• Self-Paced
• Free Video

IMSA

Non-perturbative Deformation Quantization in Kähler Manifolds

Delve into advanced mathematical concepts of non-perturbative deformation quantization, exploring formality theorems, Poisson varieties, and Kähler manifolds with expert Maxim Kontsevich.

• YouTube
• 1 hour
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Non-virtually Abelian Discontinuous Group Actions vs Proper SL(2,R)-Actions - Aleksy Tralle

Explore non-virtually Abelian discontinuous group actions and proper SL(2,R)-actions in this advanced mathematics lecture, part of a program on Zariski dense subgroups and geometric applications.

• YouTube
• 47 minutes
• Self-Paced
• Free Video