10 research outputs found
Strengthening the Cohomological Crepant Resolution Conjecture for Hilbert-Chow morphisms
Given any smooth toric surface S, we prove a SYM-HILB correspondence which
relates the 3-point, degree zero, extended Gromov-Witten invariants of the
n-fold symmetric product stack [Sym^n(S)] of S to the 3-point extremal
Gromov-Witten invariants of the Hilbert scheme Hilb^n(S) of n points on S. As
we do not specialize the values of the quantum parameters involved, this result
proves a strengthening of Ruan's Cohomological Crepant Resolution Conjecture
for the Hilbert-Chow morphism from Hilb^n(S) to Sym^n(S) and yields a method of
reconstructing the cup product for Hilb^n(S) from the orbifold invariants of
[Sym^n(S)].Comment: Revised versio
The degenerate analogue of Ariki's categorification theorem
We explain how to deduce the degenerate analogue of Ariki's categorification
theorem over the ground field C as an application of Schur-Weyl duality for
higher levels and the Kazhdan-Lusztig conjecture in finite type A. We also
discuss some supplementary topics, including Young modules, tensoring with
sign, tilting modules and Ringel duality.Comment: 44 page
Unexpected and growing interest in land investments? The Asian case
The aim of this chapter is to provide an Asian perspective on land investments with particular reference to the European position in terms of land acquisition. At first, the paper recalls the relevance that land holds as a distinct factor of production and consumption. Then, it investigates the different ways employed to define the recent phenomenon of land-grabbing in the increasing literature review. In order to contribute to the discussion on the issue, the second part of the paper is devoted to the examination of the Asian case. Furthermore, it analyses both the direct and the indirect role played by the European Union in influencing and enhancing the phenomenon of land-grabbing in Asia. The chapter concludes with observations and proposals on the impact of land-grabbing
