- Series
- CDSNS Colloquium
- Time
- Thursday, August 22, 2013 - 2:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Jordi-Lluis Figueras – Uppsala Univ.
- Organizer
- Rafael de la Llave
Abstract: We develop techniques for the verication of the Chebyshev property of Abelian
integrals. These techniques are a combination of theoretical results, analysis of asymptotic
behavior of Wronskians, and rigorous computations based on interval arithmetic. We apply
this approach to tackle a conjecture formulated by Dumortier and Roussarie in [Birth of
canard cycles, Discrete Contin. Dyn. Syst. 2 (2009), 723781], which we are able to prove
for q <= 2.