Armenia

The aim of this School is to introduce the students to the recent developments in the theory of nonlinear partial differential equations, espacially the geometric ones. The courses will be delivered by leading scientists in the field and will open to the participants new important areas of research.

The summer school will be dedicated to finite point configurations and rigidity, Erdos problems in discrete geometry and frame theory, the Falconer distance conjecture  in  geometric  measure  theory,  discrete  integrable  systems  and connections between these topics.  Participants will  be introduced to various open problems and possible research projects  in these very active research areas.

Langue officielle de l'école : anglais

The summer school will be dedicated to finite point configurations and rigidity, Erdos problems in discrete geometry and frame theory, the Falconer distance conjecture  in  geometric  measure  theory,  discrete  integrable  systems  and connections between these topics.  Participants will  be introduced to various open problems and possible research projects  in these very active research areas.

Langue officielle de l'école : anglais

The goal of the summer school is to introduce students and junior scientists to the basics of the theory of elliptic curves and their applications in modern number theory and cryptography. The origins of the theory of elliptic curves go back to the 19th century, but it has become a central area of number theory only in the 20th century with the work of Mordell, Hasse, Weil and many others. Particularly prominent developments were the formulation of the conjecture of Birch and Swinnerton-Dyer, and the discovery of connections between elliptic curves and modular forms.