Abstract: In this talk, we recall what is needed (in an axiomatic way) to define what goes by the name of A-model F-bundle, appearing in the pioneering work of Katzarkov-Kontsevich-Pantev-Yu. This will lead to the definition of Hodge atoms. We then explain how this machinery behaves under blow-up, thereby raising questions in birational geometry. Time permitting, we explain how to extend it to the G-equivariant setting.
Part of this talk is based on joint work with L. Katzarkov and M. Kontsevich.