Symplectic Topology meets Celestial and Quantum Mechanics
via Weber Electrodynamics

Mathematics meets Physics

Campinas, Brazil

How the four different mathematical topics all connect through WED is sketched in Section 2 of our Advanced School Announcement and in more mathematical detail in the recent paper [FW].


Given the recently uncovered link [FW, F] between modern symplectic topology and an action-at-a-distance force law - the amazing theory of Wilhelm Weber (1804-1891) -
the purpose of the meeting is to investigate the relation of

• the recently discovered, still under construction, non-local Floer homology [AFS1,AFS2,AFS3 references] and
  
  
• the Weber force law (WFL) which has nothing but spectacular properties: Although WFL is just an ODE there is a
  
• critical radius
• outside which:  - two equal charge particles are repulsive        - Riemannian geometry
• inside   which:  - two equal charge particles are attractive!   - Lorentz geometry
  Already a critical radius dividing space into a Riemannian and a Lorentzian world probably speeds up many geometers heart beat.
  
  
• Weber was a physicist. So what? Would any healthy scientist let prohibit this to look at applications of the Weber force law outside physics? Maths is used in so many sciences.
  
• For instance, pick your favorite application of gravitation (positive parameter) or the Coulomb law (same thing but real parameter)  --  now just study what milky way richer WFL has to say there..
  
  
• Thanks to the holy inquisition of physics, it is very likely that no one has ever (dared to) look at your problem yet via WFL  ;-)
  So what are you waiting for? Go and write all those papers..
  
  
• WFL is generated by an action functional  -  the von Neumann action  --  which connects this 150 year old locked up jewel with state of the art research in symplectic topology and the (last year invented) Hamiltonian delay dynamics on manifolds
  

this meeting also aims to

• bring together professionals from different disciplines and
  
• teach one another the own point of view in order to
  
• foster and start collaboration by creating a common base
  

Get prepared for the physics -- 2 recent videos by André Assis

• Standard (2 separate beds) 
• R$220 (1 person)  R$240 (2 persons)
  
• Master (same concept as standard, just in the new building) 
• R$260 (1 person)  R$285 (2 persons)
  
• Suite (2 rooms, one with a queen size bed and one with 2 separate beds, so the suite accommodates either 3 persons or 4 persons: one couple plus 2 individuals)
  
• R$299 (1 or 2 persons)  R$305 (3 persons)  R$310 (4 persons)