摘要: Pairs of commuting nilpotent matrices have been extensively
studied, especially from the view point of quivers, but the space of
commuting nilpotents modulo simultaneous conjugation has not received
any attention at all despite its moduli theory flavor. I will explain
how a 'moduli space' can be constructed via two different methods and
demonstrate many interesting properties of the space:

- It is isomorphic to an open subscheme of a punctual Hilbert scheme.
-  Over the field of complex numbers, it is diffeomorphic to a direct
sum of twisted tangent bundles over a projective space.
- It is isomorphic to a bundle of regular jets.
- It gives examples of affine space bundles that are not vector bundles.

This is a joint work with W. Haboush (Illinois) and G. Bérczi (Zurich).

海报