Mathematics Colloquia and Seminars

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I will explain how 0+1 dimensional quiver gauge theories describe BPS D-branes on a Calabi-Yau manifold. Seiberg Dualities in the quiver precisely correspond to crossing the "walls of the second kind" described by Kontsevich and Soibelman. The counting of certain BPS D-branes can also be encoded in the combinatorics of melting crystals, whose structure changes when walls of the second kind are crossed. By combining these perspectives, we are able to give a new derivation of the Gromov-Witten/Donaldson-Thomas correspondence