Today was my birthday.After the Hilbert scheme and the Hamiltonian reduction of quiver variety and (particular) Frobenius action, Kashiwara's lecture was going on. For rational Cherednik algebra of type A, $A_c^{loc}, and e H_c e$, we were talking about something like a noncommutative coherent ring (finite represented but not always finitely generated).
We ate lunch at the cafeteria (to be the truth, there are 2 cafeterias), Leclerc explained his article (based on a proceeding of a conference).
1. Facts about the preprojective algebra
ADE (not $\hat$ case; we study finite-dimensional one of $\Lambda$'s, where $\Lambda := \mathbb{C} \bar{Q}$ /(Gelfand-Ponomarev equation)), $\Lambda$ is self-adjoint, and simple $\Lambda$-modules case.
2. Relation between mod $\Lambda$ and $\mathbb{C} [N]$
3. Mutation for rigid $\Lambda$-modules
Thm.[Geiss-Schr\"oer] and Thm[GLS].
I walked around and near the campus in the spare time, and there exists a park in front of the gate of the Kashiwa campus. It is said that new office building will be installed to the empty grass field.
Today was the end of the workshop on Micro-local analysis and Symplectic manifolds.
