This school will introduce participants to knot theory and geometric topology. The talks are geared towards bachelor and master students and they will require only minimal previous knowledge of topology. The lecture courses will present many exercises and problems for the students to work on.

Aiming at undergraduate and graduate students, this school provides a foundational look at group actions on varieties and on abelian varieties. Participants will study algebraic torus actions, quotients, and the complex and arithmetic aspects of abelian varieties. The prerequisites are: commutative algebra, commutative algebra, differential geometry, and introductory algebraic geometry.

The school’s objective is to provide a comprehensive view of symmetries, spanning from foundational mathematics to concrete applications in theoretical physics. It is aimed at advanced undergraduate, graduate students and early postdocs, both specialized in math and in theoretical physics.