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In the last few years, there have been extraordinary developments in many aspects of curve theory. Beginning with many examples in low genus, this summer school will introduce the participants to the background behind these developments in the following areas:

1. moduli spaces of stable curves
2. Brill–Noether theory
3. the extrinsic geometry of the curves in projective space

We will also include an introduction to some open problems at the forefront of these active areas.

School Structure

There will be two one-hour lectures and two problem sessions each day.

Prerequisites

Basic knowledge of algebraic geometry up to the level of the Riemann–Roch and Riemann–Hurwitz theorems for curves. (These theorems appear, for example, in Hartshorne’s Algebraic Geometry as Theorem IV.1.3 and Corollary IV.2.4; or in Sections 2.3 and 2.1 in Griffiths–Harris Principles of Algebraic Geometry).

Application Procedure

For eligibility and how to apply, see the main summer school page.