This NSF (DMS) funded workshop series (2016 - 2018) will rotate between Virginia Tech, Harvard University and Florida State University to facilitate progress on pressing problems at the interface of algebraic/differential geometry and string theory.
String theory provides an arena in which many significant and challenging questions in modern mathematics can be linked, often in surprising and fundamental ways. In this workshop series, this viewpoint will be utilized to study the geometry of elliptically fibered manifolds in singular limits with the goal of bringing together diverse mathematical structures. These range from the moduli spaces of elliptically fibered Calabi-Yau 4-manifolds to those of singular (parabolic/irregular/wild) Hitchin systems; from birational geometry to representation theory; from limiting mixed Hodge structures to the study of invariants of singular varieties.