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Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation
12 October 2009 - 16 October 2009
Aims and Research Directions
Organizing Committee
List of Participants
Invited Speakers
Timetable
Documents
Timetable
Weeks:
[
Mon 12 Oct - Fri 16 Oct
]
Date
Time
Speaker
Room
Mon 12 Oct
9:00- 10:00
General registration and coffee
Aula Dini
10:10- 10:20
Introduction to the workshop
Aula Dini
10:20- 11:20
Bracci, Filippo
"One resonant biholomorphisms and applications to quasi-parabolic germs"
Aula Dini
11:40- 12:40
Yampolsky, Michael
"Geometric properties of a parabolic renormalization fixed point"
Aula Dini
14:45- 15:45
Epstein, Adam
"Limits of quadratic rational maps with degenerate parabolic fixed points of multiplier $\exp{2
pi
i
q}\rightarrow 1}$.
"
Aula Dini
15:45- 16:15
Coffee Break
Aula Dini
16:15- 17:15
Paul, Emmanuel
"Moduli space of foliations and curves defined by a generic function"
Aula Dini
17:45- 18:45
Schäfke, Reinhard
"An analytic proof of parametric resurgence for some second order linear equations"
Aula Dini
Tue 13 Oct
9:00- 10:00
Iooss, Gérard
"On the existence of quasipattern solutions of the Swift-Hohenberg equation and of the Rayleigh-Benard convection problem"
Aula Dini
10:00- 10:20
Coffee Break
Aula Dini
10:20- 11:20
Lebowitz, Joel
"Time Asymptotic Behavior of Schrodinger Equation of Model Atomic Systems with Periodic Forcings: To Ionize or Not"
Aula Dini
11:40- 12:40
Tanveer, Saleh
"Borel Summability methods applied to PDE initial value problems."
Aula Dini
15:00- 16:00
Silverstone, Harris J
"Kramers-Langer-modified radial JWKB equations and Borel summability"
Aula Dini
16:00- 16:30
Coffee Break
Aula Dini
16:30- 17:30
Bender, Carl
"Complex dynamical systems"
Aula Dini
Wed 14 Oct
9:00- 10:00
Shishikura, Mitsuhiro
"Invariant sets for irrationally indifferent fixed points of holomorphic functions"
Aula Dini
10:00- 10:20
Coffee Break
Aula Dini
10:20- 11:20
Ecalle, Jean
"Four recent advances in resummation and resurgence theory"
Aula Dini
11:40- 12:40
Ribon, Javier
"Multi-summability of unfoldings of tangent to the identity diffeomorphisms."
Aula Dini
Thu 15 Oct
9:00- 10:00
Weinzierl, Stefan
"Feynman graphs in perturbative quantum field theory"
Aula Dini
10:00- 10:20
Coffee Break
Aula Dini
10:20- 11:20
Kreimer, Dirk
"An analysis of Dyson Schwinger equations using Hopf algebras"
Aula Dini
11:40- 12:40
Broadhurst, David
"Multiple zeta values in quantum field theory"
Aula Dini
15:00- 16:00
Kamimoto, Shingo
"On a Schrödinger operator with a merging pair of a simple pole and a simple turning point, I WKB theoretic transformation to the canonical form"
Aula Dini
16:00- 16:30
Coffee Break
Aula Dini
16:30- 17:30
Koike, Tatsuya
"On a Schrödinger operator with a merging pair of a simple pole and a simple turning point, II Computation of Voros coefficients and its consequence"
Aula Dini
18:00- 19:00
Matheus Silva Santos, Carlos
"Multilinear estimates for the 2D and 3D Zakharov-Rubenchik systems"
Aula Dini
Fri 16 Oct
9:00- 10:00
Thibon, Jean-Yves
"Noncommutative symmetric functions and combinatorial Hopf algebras"
Aula Dini
10:00- 10:20
Coffee Break
Aula Dini
10:20- 11:20
Toledano Laredo, Valerio
"Stokes factors and multilogarithms"
Aula Dini
11:40- 12:40
Takei, Yoshitsugu
"On the turning point problem for instanton-type solutions of (higher order) Painlevé equations"
Aula Dini
14:30- 15:30
Raissy, Jasmin
"Torus actions in the normalization problem"
Aula Dini
15:30- 15:50
Coffee Break
Aula Dini
15:50- 16:50
Yakovenko, Sergei
"Deflicity of intersections between trajectories of ODEs and algebraic hypersurfaces"
Aula Dini