## Geometry and Physics Seminar: Paul Johnson

- Date: 11/04/2013
- Time: 15:10

Lecturer(s):
Paul Johnson,

*Colorado State*
Location:

University of British Columbia

Description:

The Hilbert scheme of n points on C^2 is a smooth manifold of dimension 2n.

The topology and geometry of Hilbert schemes have important connections to physics, representation theory, and combinatorics. Hilbert schemes of points on C^2/G, for G a finite group, are also smooth, and their topology is encoded in the combinatorics of partitions. When G is a subgroup of SL_2, the topology and combinatorics of the situation are well understood, but much less is known for general G. After outlining the well-understood situation, I will discuss some conjectures in the general case, and a combinatorial proof that their homology stabilizes.

Other Information:

Location: ESB 4127