## DYNAMICAL SYSTEMS Seminar

### Renormalization of vector fields, and applications to invariant tori and reducibility problems

Sasa Kocic
Abstract: I will describe the construction of renormalization schemes for vector fields on $\mathbb T^d \times \mathbb R^m$ and skew product flows on $\mathbb T^d \times SL (2,\mathbb R)$. I will also discuss the applications of these schemes to the construction of invariant tori in near-integrable systems in the former case, and to reducibility of skew product flows in the latter case.