**Margarida Mendes Lopes**

Universidade de Lisboa, Portugal

December 10, 2015

**Restrictions on the invariants of irregular surfaces**:
Algebraic surfaces satisfy relations between their invariants like c_1^2 (the first Chern number), p_g (the number of independent global
holomorphic 2-forms), the holomorphic Euler characteristic, etc.
The irregularity of a complex algebraic surface S is the number q of
independent (holomorphic) 1-forms that S possesses and a surface is said to be irregular if q>0.
For irregular surfaces of general type the existence of 1-forms gives
additional constraints on the relations between invariants. The aim of this talk, meant as a survey, is to discuss some of these relations, after introducing the general notions.
Part of the results to be presented are joint work with C. Ciliberto, R. Pardini and G.-P. Pirola.