Calabi-Yau vs Log Calabi-Yau Threefolds

Explore the comparative Hodge theory and geometry of smooth projective Calabi-Yau threefolds against quasi-projective threefolds in this 44-minute lecture by Rodolfo Aguilar from IMSA. Delve into the mathematical relationships formed when removing a smooth anti-canonical K3 surface from a smooth projective Fano threefold. The presentation centers on key mathematical concepts including Yukawa cubics, curves, and Abel-Jacobi maps, representing collaborative research with Ph. Griffiths and M. Green.