Rational Surfaces and Singularities
Student No.:50
Time:Tue 15:10-17:00 and Fri 09:10-11:00
Instructor:Eduard Looijenga  [Tsinghua University]
Place:Conference Room 1, Floor 1, Jin Chun Yuan West Building
Starting Date:2013-3-5
Ending Date:2013-3-29





The simplest normal surface singularities are the Kleinian singularities (also known as Du Val singularities or rational double points) and (in order of complexity) the simply-elliptic singularities and the cusp singularities. There is a rich and fascinating theory of their deformation theory which makes contact with the theory of rational surfaces (among them Del Pezzo surfaces) endowed with special configurations of curves as well with the theory of Kac Moody algebra's and their associated groups. We will review this and also pay attention to a remarkable recent application of mirror symmetry to this area.