- Series
- CDSNS Colloquium
- Time
- Monday, February 17, 2014 - 11:00am for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Chunhua Shan – School of Mathematics, Georgia Institute of Technology
- Organizer
- Chunhua Shan
In 1994, Dumortier,
Roussarie and Rousseau launched a program aiming at proving the
finiteness part of Hilbert’s 16th problem for the quadratic
system. For the program, 121 graphics need to be proved to have finite
cyclicity. In this presentation, I will show that 4 families of
HH-graphics with a triple nilpotent singularity of saddle or elliptic
type have finite cyclicity. Finishing the proof of the cyclicity of
these 4 families of HH-graphics represents one important step towards
the proof of the finiteness part of Hilbert’s 16th problem for
quadratic systems. This is a joint work with Professor Christiane
Rousseau and Professor Huaiping Zhu.