Denis Nesterov (University of Vienna) “Quasimap wall-crossing, Vertex and applications”

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In the second talk, using quasimaps, we establish a very general wall-crossing formula relating Donaldson-Thomas theory of Surface x Curve and Gromov-Witten theory of moduli spaces of sheaves on Surface. The wall-crossing is governed by Vertex (also known as I-function). We then discuss the old and the new instances of this wall-crossing.