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Related lectures (30)

Page 3 of 3

Recollements: Building New Spaces by Gluing Together

Introduces recollements, showing how to build new spaces by assembling and gluing them together.

Quotients: Geometrical Properties

Delves into the geometrical properties of quotients by linearly reductive groups, emphasizing the uniqueness of closed orbits and the concept of a geometric quotient.

Induced Homomorphisms

Covers induced homomorphisms, homotopy invariance, and homology groups of quotients.

Properties of Division

Covers the properties of division in integers and the relationship between divisibility and unique quotients.

Push-out: Categorical Perspective on Quotients

Explores the concept of push-out in group homomorphisms.

Untitled

Algebraic Geometry: Rings and Bodies

Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.

From embedded to general manifolds: Why?

Explores upgrading foundations from embedded to general manifolds in optimization, discussing smooth sets and tangent vectors.

The Fundamental Group of a Surface

Explains the fundamental group of a surface, focusing on polygonal presentation, cell structure, and vertex identification.

Cohomology: Cross Product

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.