DanielChanMaths
This channel looks at a variety of university and research level mathematics. The first few videos are part of the "Adventures in Pure Mathematics" series, aimed for third year and honours students, that is, anyone who knows what a group, ring and topological space is. It concentrates on important ideas and results in pure mathematics rather than detailed proofs which are best read from appropriate texts. To find out more about me, you can look at my website web.maths.unsw.edu.au/~danielch. Thanks go to Daniel Mansfield for his camera and editorial work.
The One ring that rules all endomorphisms. Revisiting linear algebra
Поверхности Хирцебруха как торические многообразия
Fans and toric varieties
Торические многообразия: двойственный конус и его грани
Аффинные торические многообразия
The projective plane as a toric variety III
The projective plane as a toric variety II
The projective plane as a toric variety I
Representations of SL(2,C)
Weight space analysis of representations of SL(2,C)
Torus symmetry in representation theory
Torus symmetry and graded objects
Representations of tori
Characters of tori
Что такого особенного в рядах Фурье?
The geometry of Hilbert schemes
Universal Families
Переписка Маккея
Схема Гильберта точек на аффинной плоскости
Projectivity of the Grassmannian
Внешняя алгебра
Существование прямых на кубической поверхности: применение схем Гильберта
The manifold structure on the Grassmannian
First examples of Hilbert schemes
Yoneda Ext and the extension problem
Производные функторы: Ext и Tor
The extension problem, split exactness and Hom-lifting.
Derived duality revisited
The long exact sequence in homology
Derived duality