Algebraic geometry online seminars on K3 surfaces
anobile at sissa.it
Tue Jul 7 11:43:44 CEST 2020
this is to announce the sixteenth algebraic geometry seminar on K3
SPEAKER: Michele Graffeo
WHEN: Friday, July 10 at 4.00 pm (Rome)
WHERE: Link Zoom:
Meeting ID: 978 2656 6577
TITLE: Green's conjecture, algebra describes geometry
ABSTRACT: I will split this seminar in two parts. In the first part I
will introduce the needed instrument in order to state Green conjecture.
This part will be more foundational and it will be mostly about curves.
In particular I will introduce the notions of gonality and Clifford
index and I will show how, the latter, is related to the complexity of a
canonical curve. This complexity will be encoded by the Koszul
cohomology, an algebraic tool introduced, in the geometry context, by
Mark Green in '84.
In the second part I will give an idea on how Claire Voisin solved the
conjecture by involving K3 surfaces.
The first part will be one hour long then we will take a small break for
the questions and then resume with the second part which will last half
an hour and it will be more technical.
Everyone interested is welcomed to attend.
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