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Abstract:
We will study the geometry of the Springer fibre associated to 2-block
nilpotents, describe its components, and stable manifolds with respect
to a torus action. The cohomology rings of pairwise intersections of
these stable manifolds can be equipped with some convolution structure.
The resulting algebra has a nice (very explicit) diagrammatic
description based on an embedded 2-dimensional TQFT procedure.
I will explain the combinatorics of this algebra and how it is related
to the Ext-algebra of certain coherent sheaves.
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