Geometry and Physics Seminar: Michel van Garrel

Let S be a smooth Del Pezzo surface. We introduce three seemingly unrelated sets of invariants: local BPS state counts of S, relative BPS state counts of S relative to a smooth anticanonical divisor, and generalized DT invariants of the m-loop quiver. We explain how these invariants are connected and how they provide new insight into a conjecture by N. Takahashi on log mirror symmetry.