TITLE: Examples of calculating perverse sheaves on algebraic varieties with easy stratification
QUESTION [11 upvotes]: I have been learning intersection homology and perverse sheaves in the following way. I started by reading the first $7$ chapters of Kirwan and Woolf's book 
http://www.amazon.com/Introduction-Intersection-Homology-Theory-Edition/dp/1584881844.
Then, I read chapter $8$ of the book http://www.math.columbia.edu/~scautis/dmodules/hottaetal.pdf which introduced the theory of perverse sheaves using the language of $t-$ structure. After reading the abstract construction of the category of perverse sheaves for an algebraic variety or analytic space, I hope to see examples of calculating the perverse sheaves for spaces with easy stratification, such as $\mathbb{CP}^n$. Could anyone please provide some interesting examples? Thanks!

REPLY [3 votes]: Things are easiest when the automorphism group of $M$ (with its stratification) acts with finitely many orbits on $T^* M$: see Perverse sheaves on  Grassmannians, by Tom Braden.