Bordism Courses and Certifications

Fields Institute

Bordism of Manifolds - Lecture 1

Explore the concept of bordism in manifolds with Stanford's Mohammed Abouzaid, delving into advanced mathematical theories and their applications in topology and geometry.

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

IMSA

Bernardo Uribe, UniNorte - Bordism and Birational Invariants of Finite Groups

Explore birational invariants of finite groups and their connection to bordism invariants of equivariant manifolds, focusing on Bogomolov's results in this advanced mathematical topic.

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

Fields Institute

Bordism of Derived Orbifolds - Lecture 3

Explore advanced mathematical concepts in bordism theory and derived orbifolds with Stanford University expert Mohammed Abouzaid in this Fields Institute lecture.

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

Fields Institute

Bordism of Orbifolds - Lecture 2

Explore the concept of bordism in orbifolds with Stanford's Mohammed Abouzaid, delving into advanced mathematical theories and their applications in toric topology and geometry.

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

IMSA

Bordism and Resolution of Singularities in Gromov-Witten Theory

Delve into complex geometric theory exploring moduli spaces, derived orbifolds, and resolution algorithms in symplectic topology through Gromov-Witten invariants and unitary bordism.

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

Fields Institute

On the c₁-Spherical Bordism Theory

Explore advanced algebraic topology through c_1-spherical bordism theory and its mathematical applications in this specialized research presentation.

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

Hausdorff Center for Mathematics

Mohammed Abouzaid: Bordism and Floer Theory

Explore the intersection of Morse theory and infinite-dimensional spaces in topology. Learn about recent advances in Floer theory and its applications to generalized homology and derived orbifold bordism.

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

University of Chicago Department of Mathematics

Symplectic Manifolds and Bordism - Lecture 2

Explore symplectic manifolds and bordism in this advanced topology lecture, building on Gromov-Floer theory to understand modern developments combining homotopy theory with Morse theory.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

IMSA

Computation in Unitary Equivariant Bordism

Explore explicit computations of the unitary equivariant bordism ring, presented by Bernardo Uribe on behalf of Dev Sinha. Gain insights into advanced mathematical concepts and recent research findings.

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

IMSA

Examples and Counterexamples in 2-D Equivariant Bordism

Explore finite group actions on surfaces and their extensions to 3-manifolds. Discover concrete answers and examine examples in equivariant bordism theory.

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

IMSA

Oriented and Unitary Equivariant Bordism of Surfaces

Exploration of equivariant oriented and unitary bordism groups, focusing on torsion parts and obstruction classes for surfaces with free action. Presents key findings and non-trivial invariants.

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

IMSA

Poincare/Lefschetz Duality Bordism Theory

Explore the concept of Poincare/Lefschetz Duality Bordism Theory, examining how cohomology theories relate to cycles and numerical invariants, with applications to ordinary cohomology, complex K-theory, and intersection cohomology.

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

3 Minute Thesis Competition 2025 - Oxford Mathematics Postgraduate Research Presentations

Discover how Oxford Mathematics postgraduates explain complex research in just 3 minutes, covering topics from black holes to biological networks in this engaging competition.

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

BIMSA

A Morse Model for Stable Homotopy - ICBS 2024

Explore stable homotopy groups, framed bordism, and Morse theory in topological spaces. Gain insights into Floer homotopy foundations and the Pontryagin-Thom construction.

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

BIMSA

P-Form Symmetries in Functorial Quantum Field Theory

Explore p-form symmetries in functorial quantum field theory, focusing on implementing finite group global and gauged symmetries in TQFT using cohomology-decorated bordisms.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video