Mathematics Colloquium II
Speaker: Alessandra Sarti, Universite de Poitiers
Host: Harsha Hutridurga
Title: From K3 surfaces to Enriques manifolds
Time, day and date: 3:30:00 PM – 4:30:00 PM, Friday, February 06
Venue: Ramanujan Hall
Abstract: K3 surfaces occuy a remarkable place in the classification of complex algebraic surfaces, the most easy example is the quartic Fermat surface in complex projective three space. Because of their beautiful properties, A. Weil in 1958 named them in honour of the three famous mathematicians Kummer, Kähler and Kodaira and of the K2 mountain in Cachemire. From K3 surfaces one can construct others remarkables algebraic surfaces that are the Enriques surfaces. After giving several examples and exmplaining basic properties of K3 and Enriques surfaces, I will show how these notions can be generalized to manifolds in higher dimensions and in particular I will introduce Enriques manifolds. Time permitting I will show recent developpements and in particular I will explain how one can consider all these manifolds in the singular setting.