Concept
Academic degree
Related lectures (245)
Plasma State: Properties and Effects
Covers the definition and properties of plasma, including ionization and collective effects.
Acyclic Models: Cup Product and Cohomology
Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces, focusing on orientation and orientability.
Graded Ring Structure on Cohomology
Explores the associative and commutative properties of the cup product in cohomology, with a focus on graded structures.
Bar Construction: Homology Groups and Classifying Space
Covers the bar construction method, homology groups, classifying space, and the Hopf formula.
Elliptic Curves: Theory and Applications
Covers the theory and applications of elliptic curves in cryptography and number theory.
Monster Group: Representation
Explores the Monster group, a sporadic simple group with a unique representation theory.
Polynomial Identity Testing
Covers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.
Finite Fields: Properties and Applications
Explores the properties and applications of finite fields, including isomorphism and cyclic properties.
Cohomology Groups: Hopf Formula
Explores the Hopf formula in cohomology groups, emphasizing the 4-term exact sequence and its implications.