Concept
Associate degree
Related lectures (197)
Cohomology Groups: Hopf Formula
Explores the Hopf formula in cohomology groups, emphasizing the 4-term exact sequence and its implications.
Cohomology of C2: Cup Product
Covers the cup product in the cohomology of C2, showing how non-trivial elements are represented by cocycles.
Eigenvalues and Eigenvectors: Polynomials and Matrices
Explores eigenvalues, eigenvectors, and characteristic polynomials of matrices, emphasizing their importance in matrix operations.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Polynomial Identity Testing
Covers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.
Directed Networks & Hypergraphs
Explores directed networks with asymmetric relationships and hypergraphs that generalize graphs by allowing edges to connect any subset of nodes.
Error Analysis and Interpolation
Explores error analysis and limitations in interpolation on evenly distributed nodes.
Cohomology: Cup Product
Covers the cup product in cohomology, focusing on examples and computations.
Steenrod Squares
Covers the concept of Steenrod Squares and their applications in stable cohomology operations.
Introduction to Finite Fields
Covers the basics of finite fields, including arithmetic operations and properties.