Jacopo Stoppa: Recent applications of wall-crossing to algebraic and differential geometry

In the mathematical physics literature, wall-crossing refers to the variation of some (”BPS”) indices in supersymmetric theories when certain couplings hit a critical locus. In recent years wall-crossing ideas from physics have had a deep influence on algebraic and differential geometry. I will briefly discuss some of my work in this area, concentrating on correspondences between Gromov-Witten theory and quiver representations, and on some geometry which emerges from the physical results relating wall-crossing to Hitchin systems.

Coming soon.

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At a glance
Sept. 27, 2013