Speaker: Patrick Lei (Columbia University)

Title: Higher-genus Gromov-Witten theory of smooth Calabi-Yau threefolds in weighted P^4

Abstract: Physicists have made many predictions about the Gromov-Witten theory of compact Calabi-Yau threefolds. Some of these conjectures include the finite generation conjecture of Yamaguchi-Yau and the Feynman rule of BCOV. In this talk, I will explain a proof of the finite generation conjecture for smooth Calabi-Yau hypersurfaces in P(1,1,1,1,2), P(1,1,1,1,4), and P(1,1,1,2,5) using the theory of Mixed-Spin-P-fields.