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Speaker:
Alessio Corti
Date:
Thu, 20/12/2012 - 15:00 - 16:00
Location:
MPIM Lecture Hall
Parent event:
Galois representations and pencils of Calabi-Yau motives
Parent event:
MPI-Oberseminar 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.
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