### Mathematics Colloquium

# Alexander Tikhomirov

### (HSE, Moscow)

## "Basics of the Theory of Complex Algebraic Surfaces"

** Date: ** |
Mon, April 4, 2016 |

** Time: ** |
17:15 |

** Place: ** |
Research II Lecture Hall |

**Abstract:**
In this talk a review of the theory of compact complex algebraic surfaces will be
given. We start with 4-dimensional compact differentiable manifolds and discuss
the question when the structure of a complex 2-dimensional manifold (complex
surface) on it can be introduced. We next proceed to the relation between compact
complex surfaces and complex algebraic=projective surfaces. We finally give an
overview of the Kodaira classification of smooth complex projective surfaces.

*The colloquium is preceded by tea from 16:45 in the Resnikoff Mathematics Common Room, Research I, 127.*