Stable Homotopy Theory Courses and Certifications

BIMSA

Stable Homotopy Groups of Spheres and the Kervaire Invariant Problem

Explore advanced algebraic topology through stable homotopy groups of spheres and the resolution of the Kervaire invariant problem in this mathematical lecture.

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

IAS | PCMI Park City Mathematics Institute

Characteristic Classes in Stable Motivic Homotopy Theory - Part 4

Delve into advanced concepts of characteristic classes in stable motivic homotopy theory, exploring Quillen's work extensions, Panin-Walter orientation theories, and applications in quadratic enumerative geometry.

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

IAS | PCMI Park City Mathematics Institute

Characteristic Classes in Stable Motivic Homotopy Theory - Part 3

Delve into advanced concepts of characteristic classes in stable motivic homotopy theory, exploring Quillen's work extensions, Panin-Walter orientation theories, and applications to quadratic enumerative geometry.

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

IAS | PCMI Park City Mathematics Institute

Characteristic Classes in Stable Motivic Homotopy Theory - Part 2

Delve into advanced concepts of characteristic classes in stable motivic homotopy theory, exploring Quillen's work extensions and modern developments in quadratic enumerative geometry.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

IAS | PCMI Park City Mathematics Institute

Characteristic Classes in Stable Motivic Homotopy Theory - Part 1

Delve into the foundations of characteristic classes in stable motivic homotopy theory, exploring Quillen's work extensions and modern developments in algebraic geometry and schemes.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

International Mathematical Union

Stable Homotopy Groups of Spheres and Motivic Homotopy Theory

Survey of stable homotopy groups of spheres computation, covering classical methods, Mahowald's Uncertainty Principles, and new techniques using motivic homotopy theory. Includes recent computations and future research directions.

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

Institut des Hautes Etudes Scientifiques (IHES)

Motivic Stable Homotopy Theory - Lecture 3

Explore advanced motivic stable homotopy theory, including P1-spectra, P-homotopy invariance, and applications to algebraic K-theory. Gain insights into non-A1-invariant theories and connections to p-adic cohomology.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Motivic Stable Homotopy Theory - Lecture 1

Explore advanced motivic stable homotopy theory, its foundations, techniques, and applications to algebraic K-theory and p-adic cohomology in this comprehensive mathematical lecture.

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

INI Seminar Room 2

Profinite Rational Stable Equivariant Homotopy Theory: Sheaves and Tensor-Triangulated Geometry

Delve into advanced mathematical concepts of profinite rational stable equivariant homotopy theory, exploring sheaves and tensor-triangulated geometry through expert analysis and theoretical frameworks.

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

INI Seminar Room 2

Profinite Rational Stable Equivariant Homotopy Theory: Sheaves and Tensor-Triangulated Geometry

Delve into advanced concepts of profinite rational stable equivariant homotopy theory, exploring sheaves and tensor-triangulated geometry through expert mathematical analysis.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Simons Foundation

Prismatic Stable Homotopy Theory (March 14, 2025)

Explore trace methods in algebraic K-theory and their potential extension to other cohomological invariants in algebraic geometry with Jacob Lurie's analysis of prismatic stable homotopy theory.

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

Institut des Hautes Etudes Scientifiques (IHES)

Recent Advances in Algebraic K-theory - 2023 Summer School

Dive into cutting-edge developments in algebraic K-theory through expert lectures on prismatic cohomology, motivic homotopy theory, and localization theorems at this intensive IHES summer school.

• YouTube
• 1 day 9 hours 25 minutes
• On-Demand
• Free Video

IAS | PCMI Park City Mathematics Institute

Motivic Homotopy Theory

Explore advanced mathematical concepts connecting algebraic geometry, topology, and arithmetic through motivic homotopy theory with leading experts in this specialized field.

• YouTube
• 1 day 23 hours 16 minutes
• On-Demand
• Free Video

IAS | PCMI Park City Mathematics Institute

Motivic Adams Conjecture in Algebraic Geometry

Delve into the algebraic-geometric interpretation of Adams conjecture, exploring vector bundles on smooth algebraic varieties and their implications for stable homotopy groups of spheres.

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

Hausdorff Center for Mathematics

Spectral Methods in Algebra, Geometry, and Topology

Explore advanced spectral methods across tensor triangular geometry, equivariant stable homotopy, representation theory, and chromatic homotopy theory.

• YouTube
• 11 hours 46 minutes
• On-Demand
• Free Video