Workshops

Mirror symmetry in higher genus I

114
reads

Shinobu Hosono

2011-06-08
10:10:00 - 11:50:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

The lectures will be based on my latest work with Takagi (mathAG/arXiv:1101.2746v1), where we have studied projective geometry of the Reye congruence in G(2,5), and also calculated its higher genus GW invariants.

The Reye congruence has a very similar property to the well-studied Calabi-Yau 3 folds related to the projective duality of G(2,7) and Pfaffian(7). We may regard these as three-dimensional analogues of the Fourier-Mukai partners for K3 surfaces. I will explain this background as well as some technical part of the BCOV calculations.