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Shinobu Hosono (Gakushuin University)
2026-04-27  09:00 - 10:30
Room 202, Astronomy and Mathematics Building

Based on my recent survey article arXiv:2502.10970,  I will survey mirror symmetry arising from families of Calabi-Yau manifolds. In the first talk, I will define mirror symmetry of Calabi-Yau complete intersections in toric varieties and show that the definition nicely combines with the central charge formula. In the second talk, I will focus on mirror symmetry of Calabi-Yau manifolds, which does not belong to the above class. 
I will describe some special families of Calabi-Yau manifolds fibered by abelian surfaces. Standard toric methods do not apply to compactify the parameter spaces of the families; however, we find a good compactification where mirror symmetry arises in a nice way. I will also show/discuss many interesting aspects of the related abelian fibered Calabi-Yau manifolds.