Quivers, Flow Trees, and Log Curves

Explore a comprehensive lecture on the relationship between Donaldson-Thomas invariants, quivers with potential, and log Gromov-Witten invariants. Delve into the universal formula expressing DT invariants in terms of attractor DT invariants, and examine how the coefficients in this formula are calculated using attractor flow trees. Discover the groundbreaking research by Bousseau and Arguz, which proves that these coefficients are genus 0 log Gromov-Witten invariants of d-dimensional toric varieties. Investigate the log-tropical correspondence theorem that connects (d-2)-dimensional families of tropical curves obtained from universal deformations of attractor flow trees to rational log curves in toric varieties. Gain insights into this complex mathematical topic through the expertise of Pierrick Bousseau from the University of Georgia, presented at the M-Seminar at Kansas State University.