**Enrique Artal Bartolo** (Zaragoza, Spain)

*Tpology of Polynomials and Low Dimensional Algebraic Geometry*

**Lecture 1: Local singularities**

Puiseux expansions;

Braids and algebraic links;

Pencils of Curves.

**Lecture 2: Topology of polynomials**

bifurcation set;

links at infinity;

characterization of polynomials good-at-infinity;

tame polynomials and morsifications.

**Lecture 3: Zariski-van Kampen theorem and braid monodromy**

Zariski-van Kampen method;

Braid monodromy;

Examples;

Embedded topology of plane curves.

**Lecture 4: Discriminant method for tame polynomials**

Discriminant of the polar map;

Braid and classical monodromy;

Computations.

*References:*

2. E. Artal, J. Carmona, and J.I. Cogolludo, Braid monodromy and topology of plane curves,

3. M. Escario,