K-theoretic DT/PT counts for local curves in 3-folds are expected to exhibit a very nontrivial and powerful duality as a consequence of the conjectural 3-dimensional mirror symmetry for the Hilbert schemes of points in the plane, as well as from their conjectural relations to counts of membranes in 5-folds.

The "Hilbert in Mirror" miniworkshop will present various approaches to these conjectures and related topics.

It will take place at the Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS) May 21-22, 2026, and will include talks by Rahul Pandharipande, Yannik Schuler, Zijun Zhou, Tommaso Botta, Andrei Okounkov, and others.

workshop poster