The preparatory course: Holomorphic functions and Analytic sets.
Speaker: DO Hoang Son
References:
- J. Bak, D. J. Newman: Complex Analysis, Springer, New York, 2010.
- L. Hormander: An Introduction to Complex Analysis in Several Variables, North-Holland Publishing Co., Amsterdam, 1990.
- E. M. Chirka: Complex analytic sets, Kluwer Academic Publishers Group, Dordrecht, 1989.
- S. Lang: Introduction to Complex Hyperbolic Spaces, Springer-Verlag, New York, 1987.
The intensive minicourses :
1) Several complex variables I
Speaker: Nguyen Viet Anh
Reference:
2) Several complex variables II
Speaker: Vu Duc Viet
Reference:
3) Introduction to the Nevanlinna theory
Speaker: Michael Min Ru
Abstract: In this short course, I'll give an introduction to the Nevanlinna theory. The topics include: the theory of algebraic curves; the negative curvature approach by L. Ahlfors; Nevanlinna theory through the Brownian motion; the classical approach by Nevanlinna and Cartan using the logarithmic derivative lemma; some recent development.
4) Curvature of direct images
Speaker: Laszlo Lempert
Abstract and References
5) Identities on hyperbolic surfaces
Speaker: Ser Peow Tan
Abstract: Over the last couple of decades, several interesting and remarkable identities involving various length spectrum have been discovered by Basmajian, McShane, Bridgeman and Luo-Tan and generalized and studied by many people. We will describe these identities and their proofs, some applications, and some generalizations. Some basic hyperbolic geometry will first be discussed, and a general framework provided under which all these identities can be viewed. The basic ideas behind the proofs of these identities will be discussed, with some details left as exercises for the audience. We will also discuss Bowditch’s combinatorial approach to the proof of the McShane identity for once-punctured tori and some generalizations of this technique.
6) Geometric Quantization
Speaker: Daniel Burns
Abstract