MPI-Oberseminar/Worshop Galois represenations and pencils of Calabi-Yau motives
In this talk, a Laurent polynomial f is mirror-dual to a Fano manifold X if the Picard-Fuchs operator
of f equals the quantum differential operator of X. I introduce the class of Minkowski polynomials
and show how to use them to derive the classification of Fano 3-folds (Iskovskikh, Mori--Mukai)
from. I outline a program to classify Fano 4-folds using these ideas. At the end I briefly touch
on extremal and low ramification sheaves.
Links:
[1] https://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/de/node/3444
[3] https://www.mpim-bonn.mpg.de/de/node/4343
[4] https://www.mpim-bonn.mpg.de/de/node/158