- Series
- Dynamical Systems Working Seminar
- Time
- Friday, October 19, 2018 - 3:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 156
- Speaker
- Jiaqi Yang – GT Math
- Organizer
- Jiaqi Yang
We show that, if the linearization of a map at a fixed point leaves invariant a spectral subspace, and some non-resonance conditions are satisfied. Then the map leaves invariant a smooth (as smooth as the map) manifold, which is unique among C^L invariant manifolds. Here, L only depends on the spectrum of the linearization. This is based on a work of Prof. Rafael de la Llave.