I’m preparing to give another talk at the Student Seminar we are running at the University of Alberta this semester. This time, I’ll be trying to condense some of the information I’ve put into these notes on… 206 more words

## Tags » Cohomology

#### Random Exercise #5: The homotopy fibre of CP^1 ↪ CP^∞ and a Serre Spectral Sequence

Hi all, sorry for not having written much in the blog lately, i was kind of busy. First of all, I’m happy to announce that next I’ll be a graduate student at UT in Austin. 794 more words

#### Random Exercise #4: The nonexistent 5-Manifold in Bredon's book

Dear all, sorry for not having posted anything so far but my master thesis (stable classification of certain families of four manifolds) and PhD interviews have been keeping me very busy :) 335 more words

#### Notes on Pure Chow Motives

I’ll be giving a talk soon on Pure Chow motives for the graduate algebra seminar at the university of Alberta. These are some notes I wrote up to fill in the details of what I’ll talk about. 16 more words

#### Sheaf (Čech) Cohomology: A glimpse

This is a blogpost on Sheaf Cohomology. We shall be following this article.

If the reader wants to read up on what a sheaf is, he/she can read the very readable… 416 more words

#### Lecture 8, Dec 26, 2016

## De Rham and Cech cohomology of smooth manifolds

Using the exterior differential on smooth differential forms and the fact that , we define the de Rham cohomology with real coefficients as the quotient space of closed -forms by exact -forms. 219 more words