Conformal Geometry Courses and Certifications

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Geometry for Higher Spin Gravity - Conformal Structures, PDEs, and Q-manifolds

Explore advanced mathematical frameworks connecting higher-spin gravity, conformal geometry, and quantum field theory through expert lectures on Cartan geometries, holography, and PDEs.

• YouTube
• 2 days 15 hours 48 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

The Loewner Energy at the Crossroad of Random Conformal Geometry - Lecture 2

Explore the Loewner energy's role in random conformal geometry, connecting SLE, Weil-Petersson quasicircles, and various mathematical branches. Gain insights into curve roundness and its implications.

• YouTube
• 1 hour 53 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

The Loewner Energy at the Crossroad of Random Conformal Geometry - Lecture 1

Explore the Loewner energy's role in random conformal geometry, connecting SLE, Weil-Petersson quasicircles, and various mathematical branches. Gain insights into curve roundness and its implications across multiple fields.

• YouTube
• 1 hour 52 minutes
• On-Demand
• Free Video

BIMSA

Conformal Geometry on 4-manifolds

Explore advanced conformal geometry techniques and their applications to 4-dimensional manifolds with leading expert Sun-Yung Alice Chang.

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

INI Seminar Room 2

Conformal Aspects of Submanifolds and Curves

Delve into advanced mathematical concepts exploring conformal geometry, focusing on the theoretical foundations and applications of submanifolds and curves in twistor theory.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Yamabe Problem - Lecture 2

Delve into the Yamabe problem through advanced geometric analysis, exploring conformal geometry and elliptic equations with expert insights from Andrea Malchiodi.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

The Loewner Energy at the Crossroad of Random Conformal Geometry - Lecture 4

Explore the Loewner energy's role in random conformal geometry, connecting SLE, Weil-Petersson quasicircles, and diverse mathematical fields. Gain insights into curve roundness and its implications.

• YouTube
• 2 hours 5 minutes
• On-Demand
• Free Video

ICTP Mathematics

Superlinear Structures and Conformal Geometry

Explore superlinear structures and conformal geometry, from historical roots to modern applications in physics and mathematics, with insights on representation theory and potential links to the standard model.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Discrete Conformal Geometry of Polyhedral Surfaces - Part I

Explore discrete conformal geometry of polyhedral surfaces, focusing on curvature and rigidity concepts in non-Riemannian geometry.

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

BunG Seminar

Conformal Blocks and Geometry of BunG - Talk 16

Delve into advanced mathematical concepts connecting conformal field theory with Bun_G geometry, exploring conformal blocks, Kac-Moody algebras, and non-abelian theta functions.

• YouTube
• 2 hours 5 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Integration by Parts in Random Conformal Geometry and Applications

Explore integration by parts formulas in random conformal geometry, focusing on Gaussian free fields and Schramm-Loewner evolutions with Virasoro algebra representations.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Integration by Parts in Random Conformal Geometry and Applications

Explore the variational formulas of Gaussian free field and Schramm-Loewner evolutions, examining integration by parts formulas and their representation of the Virasoro algebra with probabilistic applications.

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

Centrum Fizyki Teoretycznej PAN

SCREAM Seminar - Symmetry, Curvature Reduction, and Equivalence Methods in Differential Geometry

Explore advanced differential geometry through Cartan and parabolic geometries, covering conformal structures, integrable systems, and applications to cosmology and quantum theory.

• YouTube
• 2 days 16 hours 39 minutes
• On-Demand
• Free Video

ICTP Mathematics

Second Order Conformally Invariant Elliptic Equations - Lecture 4

Explore advanced mathematical concepts in conformally invariant elliptic equations, focusing on second-order systems and their applications in geometry, physics, and probability theory.

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

Hausdorff Center for Mathematics

Curvature of the Determinant Line Bundle for Noncommutative Tori

Explore differential geometry of curved noncommutative tori, including spectral invariants and curvature of determinant line bundle for Dirac operators on noncommutative two tori.

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