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Title:
Towards Enumerative Geometry with Exponential Networks
Speaker:
Abstract:
Spectral networks compute certain enumerative invariants associated with Hitchin systems, by focusing on the interplay of certain geometric and combinatorial data within them. In physics, they count BPS states of class S theories through 2d-4d wall crossing. After reviewing the key ideas behind this framework both from a mathematical and physical viewpoint, I will introduce a 3d-5d uplift that captures generalized Donaldson-Thomas invariants of toric Calabi Yau threefolds. Time permitting, I will comment on connections to relativistic deformations of integrable systems, and the role of 3d tt* geometry, which appear as a counterpart of the Hitchin system in five dimensions. Joint work with Banerjee and Romo.
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