Working Seminar on

Complex and Algebraic Geometry:

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Rank two vector bundles on an algebraic surface

Professor Sheng-Li TAN

Dept. Math., East China Normal University, Shanghai, China

and Institute of Mathematical Research, HKU, Hong Kong

Lecture 1: Constructing rank two vector bundles on an algebraic surface

Date and Time: May 10, 2005 (Tuesday), 2:30 – 3:30pm

Lecture 2: Stability of rank two vector bundles

Date and Time: May 17, 2005 (Tuesday), 2:30 – 3:30pm

Lecture 3: Bogomolov's inequality on semistable vector bundles

Date and Time: May 27, 2005 (Friday), 3:00 – 5:00pm*

Lecture 4: Bogomolov's inequality on semistable vector bundles II

Date and Time: June 3, 2005 (Friday), 2:00 – 4:00pm

Abstract

We will talk about the methods to construct rank two vector bundles over an algebraic surface, the stability from the point of view of Hilbert's algebraic invariant theory, and a simple proof of Bogomolov's inequality between the Chern numbers of a semistable vector bundle.

* Please note the change of date and time.

All lectures will be given in Room 517, Meng Wah Complex

All are Welcome