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Title:
Gromov compactification of vortex moduli spaces and applications to L2 geometry
Speaker:
Abstract:
The moduli spaces of abelian vortices are known to be generically in correspondence to spaces of holomorphic maps to projective spaces. Both spaces fail to be C∞ compact, and a suitable “Gromov compactification” of both sides will be described in this talk. Moreover, I will describe how these compactifications might be applied to prove a conjectured formula for the L 2 volume of the space of maps.
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