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Back to Algebraic Geometry Seminar: Fall 2009

Algebraic Geometry Seminar


Date: Tuesday, Sep 22, 2009

Time: 3:30PM - 4:30PM

Location: LCB 225


Amin Gholampour

Caltech

Title

BPS invariants for resolutions of polyhedral singularities

Abstract

Let G be a finite subgroup of SO(3). Y=G-Hilb(C^3) gives the preferred Calabi-Yau resolution of singularities of C^3/G. We use two different approaches to determine the BPS invariants of Y: Gromov-Witten theory, and a specific moduli space of torsion sheaves on Y. The result is expressed in terms of an ADE root system canonically associated to G.

Algebraic Geometry

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