Hamiltonian Mechanics and Small Divisors in PDEs

Edinburgh, 24 May - 4 June 1999

Schedule:

The workshop will have three or four scheduled talks each morning. In addition Colloquium Lectures will he held on the afternoons of Tuesday 25 May and Tuesday 1 June in the Theatre of the Royal Society of Edinburgh, 22 George Street, Edinburgh EH2 2PQ. Provisional Schedules for Week 1 and Week 2 are listed below.

Local participants are advised to confrim with the ICMS office before attending as the timetable is subject to change.

Colloquium Lectures

Tuesday 25 May
2.00 - 3.10 pm Henry McKean (Courant Institute, New York)
A different slant on the KdV hierarchy
3.20 - 4.30 pm Michel Herman (University of Paris)
Hamiltonian dynamics and the ergodic hypothesis
Followed by the LMS Hardy Lecture by Dusa McDuff entitled
'Women in Mathematics - an informal history'
Tuesday 1 June
2.00 - 3.10 John Mather (Princeton)
Variational construction of orbits
3.20 - 4.30 Alan Newell (Mathematics Institute, Warwick)
Wave turbulence
5.00 - 6.10 John Toland (University of Bath)
Small amplitude standing water waves
ALL ARE WELCOME

DRAFT TIMETABLE - Week 1

 

Monday 24 May

Tuesday 25 May

Wednesday 26 May

Thursday 27 May

Friday 28 May

09:00-09:50

Registration

 

D. Treschev

R. MacKay

Cartan systems

S. Bolotin

D. Bambusi

09:55-10:45

S. Kuksin

 

J. Xia

P. Boyland

Point vortices: reduction, braids and dynamics

M. Herman

Remarks on Lyapunov exponents

K. Khanin

10:45-11:15

Coffee Break

Coffee Break

Coffee Break

Coffee Break

Coffee Break

11:15-12:05

H. Eliasson

 

R. Krikorian

Reducibility of quasi-periodic cocycles: local and global aspect

D. Levermore

Complex Ginzburg-Landau equations as perturbations of nonlinear Schrodinger equations: a Melnikov approach

A. Kupiainen

A. Veselov

On the modulations of the integrable systems

12:10-13:00

R. dela Llave

A geometric approach to the growth of energy in periodic perturbations of geodesic flow

       

[At RSE]

14:00-15:10

 

Henry McKean

A different slant on the KdV hierarchy

     

15:20-16:30

 

Michel Herman

Hamiltonian dynamics and the ergodic hypothesis

     

Coffee and tea will be served at 10.45 and at 13.30 and 15.30.

ICMS Main Office will be open for conference queries from 14.00 to 16.00 Monday to Friday. Staff will be available at other times to deal with unforseen problems, however we would be grateful if you could keep routine administration to the times stated.

Access - the building is open from around 08.30 to 21.30 Monday to Friday. Please see the facilities pages for more information. The building will also be open on Saturday 29th May from 08.30 to 16.00

Evening reception: This will take place at ICMS on Friday 28th from 18.00 to 19.30. Visiting partners and children are welcome to attend.

Week 2

 

Monday 31 May

Tuesday 1 June

Wednesday 2 June

Thursday 3 June

Friday 5 June

09:00-09:50

G. Gallavotti

A review on the problem of homoclinic splitting and the perturbation method

E. Sere

The Dirac-Fock equations in relativistic quantum chemistry

T. Kappeler

Global Birkhoff coordinates for KdV revisited

J. Shatah

The Heisenberg model for ferromagnets

P. Panayotaros

Hamiltonian dynamics of water waves in spherical geometry

09:55-10:45

T. Kriecherbauer

A new version of the Froehlich

-Spencer coupling lemma

E. Wayne

V. Rothos

Persistent homoclinic structure in sine-Gordon equation with Hamiltonian perturbation

M. Weinstein

Resonance and metastability in Hamiltonian systems

W. Craig

Resonant tori

10:45-11:15

Coffee Break

Coffee Break

Coffee Break

Coffee Break

Coffee Break

11:15-12:05

H-W Su

 

D. Nicholls

Traveling capillary-gravity water waves in two and three dimensions

A. Fokas

Mastersymmetries and asymptotic integrability

G. Friesecke

Hamiltonian nearest-neighbour chains fifty years after Fermi, Pasta and Ulam

 

12:10-13:00

M. Groves

Two and three-dimensional steady water waves via Hamiltonian centre manifolds

 

M. Bartuccelli

On the problem of positivity of solutions for PDEs with higher order differential operators than the Laplacian

   

[At RSE]

14:00-15:10

 

John Mather

Variational construction of orbits

     

15:20-16:30

 

Alan Newell

Wave turbulence

     

16:30-17:00

 

Tea break

     

17:00-18.10

 

John Toland

Small amplitude standing water waves

     

Hamiltonian
Mechanics and
Small Divisors
in PDEs
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