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Related lectures (31)
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Concrete Categories
Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.
Lie Groups: SU(2) and SO(3)
Explores Lie groups SU(2) and SO(3), emphasizing their mathematical properties and significance in physics.
Natural Transformations: Epsilon Transformation
Explores the epsilon transformation in group theory and category theory, emphasizing linearity and naturality.
Monstrous Moonshine
Explores Monstrous Moonshine, focusing on the 1979 discovery and its mathematical connections.
Introduction, Ch V: Sylow Subgroups
Explores the study of finite groups through subgroup analysis, focusing on Sylow subgroups.
Active Learning: Functors and Geometric Realization
Covers the computation of nerves and geometric realization in simplicial sets, along with functors into and out of the category of simplicial sets.
Diagonal Trusses in Structures
Explores the typology and characteristics of diagonal trusses in structures.
Pneumatic Membranes: Atmospheric Pressure and Structural Art
Explores pneumatic membranes' design and behavior under atmospheric pressure, showcasing iconic structural projects and innovative applications.
Structures and Mechanisms: Opening a Box
Explores the analysis of structures and mechanisms through a sample problem of opening a box with a string-held lid.
Group Theory: Subgroups and General Group Actions
Explores group actions, defining functors on groups, and verifying properties of group actions.