Symplectic Topology meets Celestial and Quantum
Mechanics
via Weber Electrodynamics
Mathematics meets Physics
Advanced School
17 – 21 February
2020
Campinas, Brazil
updated 26/Feb/2020
Mini-courses by (all speakers confirmed, plane
tickets bought)
André Assis (Campinas,
Phys)
Weber's Electrodynamics (WED), Relational
Mechanics and Weber's Planetary Model of the Atom
Kai Cieliebak (Augsburg,
Math, Editor
Inventiones mathematicae)
Symplectic Aspects of Celestial Mechanics
Urs Frauenfelder (Augsburg,
Math)
Nonlocal Floer homology
Pedro Salomão (São
Paulo, Math)
Celestial mechanics and systolic geometry
Stefan Suhr (Bochum,
Math)
Introduction to Lorentzian geometry
plus a talk by
Clodoaldo Ragazzo (São
Paulo, Math)
"
Viscoelastic tides and dissipative forces
in celestial mechanics"
Organizer:
Joa Weber (Campinas,
Math)
Financial support
PG DM IMECC R$ 6'400
FAEPEX UNICAMP R$ 5'000
IMECC R$ 1'200
Some Europeans
for student accomodation
R$
900
Anonymous R$ 5'000
CNPq (Federal)
R$
0
FAPESP (State)
R$
0
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
Therefore the meeting takes the form of an advanced school
with mini-courses.
It is not a Conference or a Workshop (so we won't have further
participants to give lectures, a poster session is possible if
desired); hopefully such arise as a consequence in the future.
It is a declared aim of the mini-course
speakers and the main motivation for them to travel all the
way here from Europe to attract Brazilian students
to symplectic topology!
Everybody is most welcome to attend!
(Minimal prerequisites are a basic knowledge of symplectic geometry
and Hamiltonian dynamical systems.)
Location: IMECC
(upper right corner -> visitantes), ground floor, auditório
máximo campus
map google
map
Registration
Please register as soon as possible to
help us organize
Please register by Email to me (just put joa in front of
@ime.unicamp.br) with subject: Advanced School
Registration
Obligatory: - date of arrival+departure
- name
- university
- discipline (maths/physics/philosophy/...)
- status (Professor, Post-Doc, PhD/master student)
- advisor (if student)
Financial Support: We are trying to work out local cost
support for external (i.e. non-UNICAMP) students. Of
course, we can only distribute the funds that we have. If you need
help with local costs please contact me and include either
your histórico escolar or a very short reference letter from
your advisor. If decisions have to be made between equally qualified
students, the registration date will count: first come, first serve.
Decisions will be made by the end of January 2020.
Registered Participants
1. André Assis,
Prof. da Física, UNICAMP - 17-21 Feb
2. Kai Cieliebak,
Prof. of
Mathematics, U Augsburg - 17-21 Feb
3. Urs Frauenfelder,
Prof. of
Mathematics, U Augsburg - 17-21 Feb
4. Clododaldo Ragazzo,
Prof. da Matemática, IME USP, São
Paulo - 17-21 Feb
5. Pedro Salomão,
Prof. da Matemática,
IME USP, São Paulo - 17-21 Feb
6. Stefan Suhr,
Prof. of Mathematics, U Bochum -
17-21 Feb
7. Joa Weber,
Prof. Inst. Matemática Est. Comp. (IMECC),
UNICAMP - 17-21 Feb
8. Fabio M. S. Lima,
Prof.
Instituto de Fisica, UNB, Brasilia
9. Anderson Beraldo de Araújo,
Prof. de Filosofia, Center for Natural and Human
Sciences (CCNH), UFABC, São Paulo - 17-21 Feb
10. João Paulo Martins de Castro Chaib,
Prof. Centro Federal de Educação Tecnológica de Minas Gerais
(CEFET-MG) - 16-22 Feb
11. Enrique Fernando López Agila,
Student PhD
(maths), IMECC UNICAMP
12. Ketty de Rezende,
Prof. Inst. Matemática Est. Comp.
(IMECC), UNICAMP
13. Augusto Bubenik,
Student Master
(maths), IMECC UNICAMP
14. Lucas Marcelo Cavalari
Nardi,
Student PhD (physics, history of -),
IFSC USP, São Carlos - 16-22 Feb
15. Alessandro
Arsie,
Prof. Dep. of Math. and Stat., University of
Toledo, USA - 16-22 Feb
16. Vinicius Ramos,
Prof. da Matemática, IMPA, Rio - 17-21 Feb
17. Brayan Ferreira,
Student PhD (maths), IMPA,
Rio - 17-21 Feb
18. Daniel Lopez Garcia,
Student PhD (maths), IMPA,
Rio - 17-21 Feb
19. Keily Alejandro Vicente de León,
Student PhD (maths), IMPA, Rio -
17-21 Feb
20. Jonathan Augusto Trejos
Olmos,
Student PhD (maths), IMPA, Rio - 17-21 Feb
21. Leonardo Francisco
Cavenaghi,
Student PhD (maths), IME USP, São Paulo
- 17-21 Feb
22. Carolina Lemos de
Oliveira,
Student PhD (maths), IME USP, São
Paulo - 17-21 Feb
23. Ana Kelly de
Oliveira,
Student PhD (maths), IME USP, São
Paulo - 17-21 Feb
24. Danilo Andrés García Hernández,
Student PhD (maths), IMECC
UNICAMP
25. Renato Júnior Moreira e
Silva,
Student PhD (maths), IMECC UNICAMP
26. Julieth Paola Saavedra
Ramirez,
Student (maths), IMECC UNICAMP
27. Daniela Cortés
Ospina,
Student (maths), IMECC UNICAMP
Internet
"IMECC-EVENTOS" and the password will be
available/announced in the lecture hall
Restaurants
Lunch break
map
- 3 min walk is "Cantina do belo" and
- 5 min walk is Restaurant inside ADUNICAMP (very nice atmosphere,
highly recommended)
Night
- Pizzaria Espósito
(next to and owned by Nono) (map)
- best Pizza in town in my opinion
- Empório do Nono (map)
- kind of bistro, wonderful live music (mondays and thursdays),
excellent caipirinha - just don't drink three..
- Armazem Nobre (map)
- one of my favorites, Brazilian food, plenty of space, relaxed
atmosphere. I love it
- Estância
Grill (map)
- famous churrasco "rodizio" (BBQ served at table - nonstop - until
you put your card from green to red.. ;-) One price - eat as much as
you can.
Accommodation
- Casa do Professor
- on campus Hotel - Phone +55 (19)
3521-2809 - Map
with address
Highly recommended. It is very very nice and one walks only 3
Min to the Math Institute IMECC.
I was there today, 10 Dec 2019, and they said that they have
a 24hs cancellation policy. So don't hesitate and make your
reservation.
There are the following room types and rates (as of 11/Dec/19
- the employee I talked to is Vinicius) per night (delicious
breakfast buffet included).
We get 10% discount with the promotional code EAMHF10.
- 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$310
(4 persons)
- Hotel
Pousada Universitária - another option, located right next to
the bus terminal (bus ride to the institute: some estimated
10-15 minutes)
- So far I only very briefly investigated cheaper accommodations,
one hostel said ~ R$ 80 per person, but in rooms of 5-10 people,
breakfast included (but for sure not comparable to the buffet of
Casa do Professor).
I will look into existence of lower price accommodations when
demand arises. Just contact me, please.
If you are interested to participate, but on a low
budget, please don't hesitate to contact me. We should find
some solution.
Unfortunately, funding agencies in Brazil usually
support lecturers only, not participants in the audience.
Exception: CNPq can support students. - But they require that the
hosting university matches their contribution - which UNICAMP does
not.. Big mistake. Loss of doubling money.
Fortunately, we are a bunch of idealists and may throw together to
come up with some own funding for students if national
agencies cannot help.
Something we don't know from mathematics, amazing and
fascinatingly nasty experience:
Seemingly WED is suppressed by some dark corners. Something trying
to cut our funding.
But, hey darkies, you know what? Just listen to the
rebel yell
!
Got it? Exactly. Free world. Free mathematics! Dark side
won't succeed. Maybe low budget, but much love! Plane
tickets are bought already.. ;-)
Same for non-existing funding of student participation.
We'll just finance students ourselves. Wer nicht kämpft hat schon
verloren.
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Atualização: 9.11.1984