Seminar:
Geometry, Symmetry and Physics
Event time:
Monday, November 4, 2024 - 4:30pm
Location:
KT 801
Speaker:
Patrick Lei
Speaker affiliation:
Columbia University
Event description:
The Yamaguchi–Yau finite generation conjecture predicts that the higher-genus Gromov–Witten potentials of compact Calabi–Yau threefolds are polynomials in a finite number of generators. In this talk, I will outline a recent approach to apply Givental’s quantization formalism to the Gromov–Witten theory of Calabi–Yau threefolds and explain a proof of this 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).
Research Area(s):
Algebraic Geometry