The School will be directed at students and researchers in mathematics and it will be an introduction to subjects of current interest in algebraic and arithmetic geometry, such as Riemann surfaces, moduli spaces of curves, Jacobian varieties, rational points in algebraic varieties.
The purpose of this school is to introduce young mathematicians to the foundations of the theory, to present some of its major developments and tools used for its study and also to give a few glimpses on some more advanced topics. There will be 3 minicourses; each course will start with classical material and will take the audience to the frontier of research in the subject, and will be complemented by exercise sessions. The courses will be taught in English.
|Course 1||Course 2||Course 3|
|An introduction to Veech groups of covering surfaces||Elliptic curves and an introduction to abelian varieties||An introduction to elliptic fibrations|
|Gabriela Weitze-Schmithüsen||Jennifer Paulhus||Cecília Salgado|
|Department of Mathematik und Informatik||Department of Mathematics and Statistics||Department of Mathematics|
|Universität des Saarlandes (Germany)||Grinnell College (USA)||Universidade Federal do Rio de Janeiro (Brasil)|
|Translation surfaces are Riemann surfaces with...||From the proof of Fermat's Last Theorem to applica...||We will present a brief introduction to the theory of elliptic...|
|Exercise 1. For each of the following conics...||Exercise 1. Let n be a non-negative intger. Define the...|
|09.00 - 09.50||Registration||Course 2.pdf||Course 3|
|10.00 - 10.30||Registration||Coffee break||Coffee break|
|10.30 - 11.20||Course 1||Course 3||Course 1|
|11.30 - 12.20||Course2.pdf||Course 1||Course 2.pdf|
|12.30 - 14.30||Lunch||Photo + Lunch||Lunch|
|14.30 - 15.20||Course 3||Exercices|
|15.30 - 16.30||Coffee break+Poster||Exercices|
|16.30 - 18.00||Exercices||Free Afternoon/Trip*|
*Trip to: Termas Los Pozones.