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June 20th - July 8th, 2016
(arrival date June 19th; departure date July 9th)
Alfio Ragusa - Universitą di Catania
Francesco Russo - Universitą di Catania
Giuseppe Zappalą - Universitą di Catania
Gian Pietro Pirola - Universitą di Pavia
Joan Carles Naranjo - Universitat de Barcelona
Lidia Stoppino - Universitą dell'Insubria
Vķctor Gonzįlez-Alonso - Leibniz Universität Hannover
Topic: Abelian varieties and geometric Galois theory
The principal themes of the course will be the geometry of the abelian varieties and of the Galois theory of rational maps.
In particular we focus in the applications to the theory of curves.
Course 1: Geometric Galois theory (Gian Pietro Pirola)
The course will treat the connection between monodromy and Galois theory of rational maps between algebraic varieties.
In the first part we prove the uniform position lemma of Castelnuovo. We give some applications and generalizations.
Then we will give an introduction to some problems, initiated by Zariski, on the monodromy of curves,
on the theory of Hurwitz? schemes and on some existence problems of rational functions between curves and surfaces.
Course 2: Abelian varieties and applications (Joan Carles Naranjo)
We will give a brief introduction of the classical and modern theory of complex abelian varieties with special
attention to those linked to the geometry of algebraic curves, mainly Jacobian and Prym varieties.
This will include a short review of generic vanishing theorems, the Fourier-Mukai transform
and its applications to Torelli theorems and theta duality. Also we
will explain applications to the study of irregular varieties.
People who wish to be considered either for participation and/or
for financial support should fill out the enclosed application
form, which should be sent to the following address:
The deadline for applications is March 15th, 2016. The Committee of Pragmatic will decide about financial supports and admissions within March 31th, 2016.
Interested people who need more information about Pragmatic can contact any member of the local committee.
The Organization of Pragmatic 2016 will cover the boarding and lodging
expenses of the participants which are not supported by their
institutions, but not the travel expenses.
APPLICATION FORM TO PRAGMATIC 2016
Male or Female:
Date of birth:
Academic qualification (Ph.D., Master,...):
Name of advisor:
Professional Status and Current Position:
Field of interest:
Can you be supported by your institution?: (Possible answers: totally, partly, no)
If you have a Ph.D, when did you get it and where?
Reasons for wanting to participate in the session:
It is suggested that the applications include both a recommendation letter and a brief Curriculum vitae