Rigidity Theory Courses and Certifications

IMSA

Holomorphic Floer Theory, Quantum Wave Functions and Resurgence

Explore holomorphic Floer theory, exponential integrals, and resurgence in algebraic geometry. Discover connections to quantum wave functions and infinite-dimensional applications.

• YouTube
• 1 hour 6 minutes
• 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

International Centre for Theoretical Sciences

Property (T) for Automorphism Groups of Free Groups - Lecture 2

Explore Property (T) for automorphism groups of free groups in this advanced mathematics lecture, part of a program on Zariski dense subgroups and their applications in geometry and number theory.

• YouTube
• 52 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

Fields Institute

Homotopy Rigidity of Quasitoric Manifolds

Explore homotopy rigidity in quasitoric manifolds, delving into advanced mathematical concepts and their applications in toric topology and geometry.

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

NCCR SwissMAP

Marked Length Spectrum Rigidity for Surfaces with Anosov Geodesic Flows

Explorez les techniques analytiques en dynamique et géométrie, en mettant l'accent sur la rigidité du spectre de longueur marqué pour les surfaces à flux géodésique d'Anosov.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Prague Mathematical Physics Seminar

BV Quantization of Noncommutative Field Theories

Explore BV quantization techniques for noncommutative field theories with expert Richard Szabo, delving into advanced mathematical physics concepts and their applications.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Dublin Institute for Advanced Studies DIAS

From Classical to Quantum Fields on Causal Sets

Explore algebraic classical and quantum field theory on causal sets, focusing on quantisation approaches and the Sorkin-Johnston state for free scalar fields, with potential applications to interacting fields.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Holomorphic Floer Theory and Resurgence - Part 1 of 3

Explore holomorphic Floer theory and its connection to resurgence, examining analytic wall-crossing structures and the generalized Riemann-Hilbert correspondence in symplectic topology.

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

M-Seminar, Kansas State University

Koszul Duality on Quantizations of Bionic Symplectic Varieties

Explore Koszul duality in quantizations of bionic symplectic varieties, focusing on localization theorems, DQ-modules, and geometric category O. Gain insights into recent advancements in filtered Koszul duality.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

Perverse Sheaves in Deformation Quantization

Explore holomorphic symplectic manifolds, deformation quantization modules, and perverse sheaves in Lagrangian intersections and BV quantization.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Quantum Galilei Group as Quantum Reference Frame Transformations

Explore the correspondence between quantum reference frame transformations and quantum deformations of the Galilei group, examining how these relate to noncommutative geometry and quantum space-time.

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

BIMSA

Cartan Geometry and Infinite-Dimensional Kempf-Ness Theory

Explore Cartan geometry and infinite-dimensional Kempf-Ness theory, focusing on novel approaches to generalize concepts to infinite dimensions and applications in Kähler geometry, deformation quantization, and gauge theory.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video