Title: Counting curves: an invitation to enumerative geometry
Abstract: Enumerative geometry is the branch of mathematics that studies how many solutions a geometric problem has: the basic example is that two non-parallel lines in the plane have exactly one common point. It is usually studied in the context of algebraic geometry (the study of mathematical objects that can be described by polynomial equations).
We will show how moving from basic to more advanced examples led naturally to the development of new mathematical concepts over the centuries. We will then focus on the problem of counting curves and present an overview of the results obtained in the last two decades, including the technical advances needed to achieve them as well as a sketch of the connection to modular forms, integrable systems and high-energy physics.
Cosmos Lecture Theater, Koningsberger building.
Drinks 16h30-17h in mathematics library