SISSA/IGAP algebraic geometry seminars
Alessandro Nobile
anobile at sissa.it
Mon Dec 7 14:56:04 CET 2020
Dear all,
this is to announce the next SISSA/IGAP algebraic geometry seminar,
centered on Calabi-Yau manifolds.
In order to clarify some basic aspects of the topic, we will follow the
second chapter of the book (Calabi-Yau Manifolds and Related Geometries
by M. Gross, D. Huybrechts, D. Joyce), written by Mark Gross.
Our goal is to understand the classic example of the mirror quintic.
SPEAKER: Solomiya MIZYUK - SISSA
TITLE: The Structure of the Kähler Cone & examples of Calabi-Yau
manifolds
WHEN: Thursday, December 10 at 4.30pm (Rome)
WHERE: Link Zoom:
https://sissa-it.zoom.us/j/83588633620?pwd=YUFXeC90TTZJc0ZONUZxWHZqdkhsQT09
ID riunione: 835 8863 3620
Passcode: 818352
ABSTRACT: In the first part of the talk, we will discuss two theorems
due to Wilson about the structure of the Kähler cone $\mathcal{K}_X$ of
a Calabi-Yau threefold $X$. Namely that away from a certain locus its
closure $\overline{\mathcal{K}}_X$ is a rational polyhedral cone and
that it is stable under small deformation of $X$ unless $X$ contains a
quasi-ruled elliptic surface satisfying certain conditions. After that,
we will give some general examples of Calabi-Yau manifolds following
Chapter 14.3 of the book.
Everybody interested is warmly welcomed to attend.
Best regards,
Andrea, Alessandro and Michele
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