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Seminários do IMPA

In my talk I will present some recent results on extending the program to a non-compact setting. After a short introduction to the compact case I will define differential rings for non-compact Calabi-Yau varieties from variation of mixed Hodge structure and comment on the implications of non-compactness on the structure of the Gauss-Manin (AMSY) Lie algebra. If time permits I will talk about the non-holomorphic completion of these rings coming from $tt^*$-geometry.