Rizwan Jahangir

Upcoming lectures Past lectures Thu 25 Apr 2019 Giorgos Kapetanakis: The line and the translate problems for r-primitive elements (FENS G035, 13:40) Thu 18 Apr 2019 Ezgi Kantarcı: A Queer Crystal Structure on Shifted Tableaux (FENS G035, 13:40) Thu 11…

This course is a follow-up to GR 501E and aims to provide further opportunities for graduate students to develop their skills in teaching and learning in higher education. This course will enable graduate students to reflect on their first semester…

1) Categories and functors 2) Modules 3) Tensor products of modules 4) Projective, Injective, Flat modules 5) Localization 6) Homology 7) Tor and Ext 8) Homology and rings

Modules. Fields, extension fields, Galois theory. Categories and functors.

Metric spaces and general topological spaces. Connectedness, compactness, completeness and consequences. Baire category theorem. Linear topological spaces. Open mapping, closed graph theorems. Hahn Banach theorem. Hilbert and Banach spaces.