Non-Commutative Resolutions of Calabi-Yau Double Covers and Mirror Symmetry

Explore non-commutative resolutions of Calabi-Yau double covers and their relationship to mirror symmetry in this hour-long conference talk by Mauricio Romo presented at BIMSA's ICBS2025. Delve into advanced mathematical concepts at the intersection of algebraic geometry and theoretical physics, examining how non-commutative geometric techniques can be applied to resolve singularities in Calabi-Yau manifolds that arise as double covers, while investigating the implications for mirror symmetry - a fundamental duality in string theory that relates pairs of Calabi-Yau manifolds.