Workshop on analyzable functions and applications

17-21 June 2002, Edinburgh

Organisers: O Costin, M D Kruskal and A Macintyre

                                                                                                                                           SOME MAPS
Sunday,  6/16/2002
5:30-7:30 PM Registration at the ICMS 

Monday,  6/17/2002
8:00 AM Registration  
8:50 AM Introduction by Organizers
9:00 AM M Aschenbrenner  Asymptotic Differential Algebra 
10:00 AM J-P Rolin  New results in o-minimal structures 
10:30 AM Coffee
10:45 AM A Olde Daalhuis An introduction into hyperasymptotics, with some recent developments 
11:30 PM S Chettab Ricatti equation singularly perturbed 
12:00 PM Lunch
1:30 PM M V Berry Singularity-dominated strong fluctuations: an asymptotic challenge for mathematicians
2:30 PM Coffee
2:45 PM C Howls  Hyperasymptotics for PDEs: Baby's first steps 
3:30 PM A Voros Exact semiclassical treatment of polynomial Sturm-Liouville problem on the real line 
4:30 PM Break
4:45-5:30PM R Wong  Transseries and a Singular Perturbation Problem
Tuesday,  6/18/2002
9:00 AM L Van der Dries  Solving linear differential equations in H-fields 
10:00 AM Coffee
10:15AM J-P Ramis q-analogs of resurgence and Stokes phenomena
11:15 AM F Fauvet Explicit computations with resurgent functions
12:00 PM Lunch
1:30 PM J Ecalle Twisted resurgence monomials and analytic synthesis
2:30 PM W Balser Formal power series solving partial differential equations
3:30 PM Coffee
3:45 PM B L J Braaksma Transseries for a class of difference equations
4:45 PM O Costin Transseries & Borel summation techniques in ODEs & PDEs
5:30PM Break
5:45-6:45 PM Discussion:  Links between analyzable functions, hyperasymptotics  and logics concepts
Wednesday,  6/19/2002
9:00 AM B Malgrange Non-linear differential Galois theory 
10:00 AM Coffee
10:15 AM D Sauzin Resurgence of the formal separatrix of the Henon map 
11:00 AM D Lutz Convergence of Borel approximants
11:45 PM Lunch
1:30 PM M D Kruskal Surreal numbers, and related generalized series
2:30 PM S Norton Generalising surreal numbers
3:00 PM Coffee
3:15 PM Y Takei Exact WKB analysis and isomonodromic deformations
4:00 PM T Koike On a connection problem for higher order linear ordinary differential equations
4:45 PM  J Van der Hoeven  Complex transseries
5:30 PM Break
5:45-6:45PM Discussion: Open problems in the theory of analyzable functions, hyperasymptotics and LE series in logic.
Thursday,  6/20/2002
9:00 AM E Delabaere Resurgence of Oscillating Integrals
10:00 PM R Schäfke Remarks on a transseries coming from some difference equation
11:00 AM Coffee
11:15 AM Discussions
12:00 PM Lunch
1:30 PM N Joshi  Open problems in Painleve asymptotics
2:15 PM M Diener  Asymptotic of options prices in discrete time models 
2:45 PM


Friday,  6/21/2002
9:00 AM R O'Malley Renormalization for Weakly Nonlinear Oscillator Problems on long Time Intervals 
9:45 AM Vassili Gelfreich  On parabolic invariant manifolds in $C^2$ 
10:30 AM Coffee
10:45 PM B Vallet Some examples of  bound groups generated by local diffeomorphisms 
11:30PM F Menous Well behaved uniformizing averages and applications to real resummation 
12:15 PM Lunch
1:30 PM R Moussu Linking pencils of integral curves 
2:15 PM C Zhang On the summability of formal solutions of $q$-difference
3:00 PM Break
3:15PM A Tovbis TBA 
4:00 PM A Fruchard  Analysis of the first singularities using matching
4:45 PM T Aoki Vanishing of Stokes curves 
5:15 PM Discussions