three lectures on quiver grassmannians - uniroma1.itgiovanni.cerulliirelli/icra2018...giovanni...
TRANSCRIPT
-
ICRA 2018-Workshop Prague- 7-13 August 2018
Three Lectures on quiver Grassmannians
Giovanni Cerulli Irelli
-
08/08/18 Giovanni Cerulli Irelli
Info
-
08/08/18 Giovanni Cerulli Irelli
Plan
-
ICRA 2018-Workshop Prague- 7-13 August 2018
Generalities on quiver Grassmannians
Giovanni Cerulli Irelli
-
Quiver representations
08/08/18 Giovanni Cerulli Irelli
-
Quiver Representations
08/08/18 Giovanni Cerulli Irelli
-
Dynkin and affine quivers
08/08/18 Giovanni Cerulli Irelli
-
Representation varieties
08/08/18 Giovanni Cerulli Irelli
-
Degeneration order for Dynkin quivers
08/08/18 Giovanni Cerulli Irelli
-
Ringel map
08/08/18 Giovanni Cerulli Irelli
-
Ringel-Euler form
08/08/18 Giovanni Cerulli Irelli
-
Quiver Grassmannian (set theoretic definition)
08/08/18 Giovanni Cerulli Irelli
-
Example 0: the Grassmannian
08/08/18 Giovanni Cerulli Irelli
-
Example 0: the Grassmannian
08/08/18 Giovanni Cerulli Irelli
-
Example 0: the Grassmannian
08/08/18 Giovanni Cerulli Irelli
-
Example 0: the Grassmannian
08/08/18 Giovanni Cerulli Irelli
-
Example 0: the Grassmannian
08/08/18 Giovanni Cerulli Irelli
-
Example 0: the Grassmannian
08/08/18 Giovanni Cerulli Irelli
-
Example 0: the Grassmannian
08/08/18 Giovanni Cerulli Irelli
-
Example 1: The flag variety
08/08/18 Giovanni Cerulli Irelli
-
Example 2
08/08/18 Giovanni Cerulli Irelli
-
Example 3
08/08/18 Giovanni Cerulli Irelli
-
Example 4
08/08/18 Giovanni Cerulli Irelli
-
Example 5
08/08/18 Giovanni Cerulli Irelli
-
Example 6
08/08/18 Giovanni Cerulli Irelli
-
Example 6
08/08/18 Giovanni Cerulli Irelli
-
Example 6
08/08/18 Giovanni Cerulli Irelli
-
A result of Reineke
08/08/18 Giovanni Cerulli Irelli
-
Strengthening by Ringel
08/08/18 Giovanni Cerulli Irelli
-
What is a subrepresentation?
08/08/18 Giovanni Cerulli Irelli
-
First realization: universal quiver Grassmannian
08/08/18 Giovanni Cerulli Irelli
-
Universal quiver Grassmannian
08/08/18 Giovanni Cerulli Irelli
-
Quiver Grassmannian: scheme-theoretic definition
08/08/18 Giovanni Cerulli Irelli
-
Universal quiver Grassmannian
08/08/18 Giovanni Cerulli Irelli
-
Universal quiver Grassmannian
08/08/18 Giovanni Cerulli Irelli
-
Dimension estimate for quiver Grassmannians
08/08/18 Giovanni Cerulli Irelli
-
Quiver Grassmannians associated with rigid reps
08/08/18 Giovanni Cerulli Irelli
-
Non-emptyness of “rigid” quiver Grassmannians
08/08/18 Giovanni Cerulli Irelli
-
Criterion of non-emptyness by Reineke-Kerkman
08/08/18 Giovanni Cerulli Irelli
-
2) Quiver Grassmannians as geometric quotients
08/08/18 Giovanni Cerulli Irelli
-
Hom0 (e,M)
08/08/18 Giovanni Cerulli Irelli
-
Hom(e,M) is Ge-invariant
08/08/18 Giovanni Cerulli Irelli
-
Ge acts freely on Hom0(e,M)
08/08/18 Giovanni Cerulli Irelli
-
Quotient map
08/08/18 Giovanni Cerulli Irelli
-
Quiver Grassmannians as geometric quotients
08/08/18 Giovanni Cerulli Irelli
-
Tangent space formula
08/08/18 Giovanni Cerulli Irelli
-
Isostrata
08/08/18 Giovanni Cerulli Irelli
-
Properties of isostrata
08/08/18 Giovanni Cerulli Irelli
-
Generic subrepresentation types
08/08/18 Giovanni Cerulli Irelli