Workshop on Differential Geometry

Transformation Groups, Holonomy and Spinors in 
Pseudo-Riemannian Geometry

Institute of Mathematics, Humboldt University of Berlin
September 23 - 25, 2003

Organizers: H. Baum, I. Kath, T. Leistner, T. Neukirchner


The aim of the workshop is to discuss recent results and open problems concerning pseudo-Riemannian (in particular Lorentzian) manifolds with special holonomy, special group actions and special homogeneous structures. Furthermore, we are interested in links between these structures and solutions of differential equations occuring in Geometry and Physics.

The workshop is supported by the DFG-Schwerpunkt-Programm 1154 "Global Differential Geometry" and the SFB 288 "Differential Geometry and Quantumphysics"
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Location:
The workshop will take place on Campus Adlershof of the Humboldt University, Institut für Mathematik, Rudower Chaussee 25, 12489 Berlin, Auditorium 1.013.  The Campus is situated in the south-east part of Berlin and has a good city train connection with the center (station Adlershof, ca. 30 min from the center).
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Program (
preliminary)
:  

Tuesday, 23.09.03
 
Time Speaker Title of the talk



8:30 - 9:00  Registration
(in front of Auditorium 1.013)

9:10 - 9:20  Opening
9:20 -10:20  L.Berard-Bergery  (Nancy) Reductive and non-reductive holonomies for pseudo-Riemannian manifolds 
10:30-11:30  T.Leistner (Berlin) On the classification of Lorentzian holonomy

Coffee
12:00-13:00  A.Ikemakhen (Marrakech) Parallel pure spinors and holonomy 

Lunch
14:20-15:20  I.Kath (Göttingen) On the classification of Lie groups with biinvariant metrics 

Coffee
15:50-16:50 A.Medina (Montpellier) Geometry of symplectic Lie groups 
17:00-18:00  Ch.Boubel (Lyon) Foliations preserving a transverse connection - an application to Lorentzian flows

Dinner in the City


Wednesday, 24.09.03
 
Time Speaker
Title of the talk



9:00-10:00  S.Philip (Edinburgh) Penrose limits and homogeneous spaces
10:10-11:10  G.Papadopoulos (London) Holonomy of supercovariant connections and Penrose limits 

Coffee
11:40-12:40  J.Figueroa-O'Farrill (Edinburgh) Low-dimensional supergravity and Lorentzian Lie groups

Lunch
14:00-15:00  D.Alekseevski (Hull) Lorentzian G-manifolds 

Coffee
15:30-16:30  A.Zeghib (Lyon) On Lorentzian dynamics 
16:40-17:40  M.Dunajski (Cambridge) Null-Kähler structures 

 
Thursday, 25.09.03
 
Time Speaker  Title of the talk 



9:00-10:00 H.Baum (Berlin) Conformal Killing spinors and holonomy problems 
10:10-11:10  F.Leitner (Edinburgh) Normal conformal Killing forms 

Coffee
11:40-12:40 Ch.Frances (Lyon) Lorentzian Kleinian groups: examples and applications 

Lunch
14:00-15:00  A.Di Scala (Hull/Torino) Normal holonomy groups of Kähler submanifolds
15:10-16:10  L.Schwachhöfer (Dortmund) Special symplectic connections 

Closing

17:00

Defence of the thesis of T.Leistner

 

The lectures will take place in the Auditorium 1.013. Black board, overhead projector and beamer are available.
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List of Participants (
preliminary): 

Participant
Date of stay
Hotel
D. Alekseevski (Hull)
23.09.03 - 27.09.03  
Dorint Hotel Adlershof
H. Baum (HU Berlin)
... privat
L. Berard Bergery ( Nancy) 22.09.03 - 26.09.03
Dorint Hotel Adlershof
G. Bonetti (Berlin)
23.09.03 - 25.09.03
privat
M. Bordoni (Rom)
22.09.03 - 26.09.03
Guest House Ziegelstrasse
Ch. Boubel (ENS Lyon)
22.09.03 - 28.09.03
Berolina-Airport-Hotel
A. Di Scala (Hull / Torino) 21.09.03 - 27.09.03 Guest House Ziegelstrasse
M. Dunajski (Cambridge) 23.09.03 - 24.09.03 Berolina-Airport-Hotel
J. Figueroa-O'Farrill (Edinburgh) 22.09.03 - 26.09.03 Guest House Ziegelstrasse
Ch. Frances (ENS Lyon) 10.09.03 - 31.12.03 Guest House Ziegelstrasse
A. Galaev (Saratov / HU Berlin) 23.09.03 - ... Berolina-Airport-Hotel
J. Grosse (HU Berlin)
23.09.03 - 25.09.03
privat
A. Ikemakhen (Marrakech)
21.09.03 - 27.09.03
Berolina-Airport-Hotel
I. Kath (Göttingen) 22.09.03 - 26.09.03 Berolina-Airport-Hotel
F. Klinker (Dortmund) 22.09.03 - 25.09.03 Ziegelstrasse
J. Konderak (Bari) 14.09.03 - 03.10.03 Guest House Ziegelstrasse
W. Kühnel (Stuttgart)
23.09.03 - 25.09.03
privat
T. Leistner (HU Berlin) ....
privat
F. Leitner (Edinburgh) 22.09.03 - 27.09.03 Guest House Ziegelstrasse
A. Medina (Montpellier)
22.09.03 - 27.09.03
Guest House Ziegelstrasse
P. Mounoud (Avignon)
22.09.03 - 28.09.03
Berolina-Airport-Hotel
O. Müller (MPI Leipzig / HU Berlin) 22.09.03  -  ... privat
T. Neukirchner (HU Berlin)
....
privat
G. Papadopoulos (London) 22.09.03 - 26.09.03 Guest House Ziegelstrasse
S. Philip (Edinburgh) 22.09.03 - 26.09.03 Guest House Ziegelstrasse
H.-B. Rademacher (Leipzig) 23.09.03 - 25.09.03 Berolina-Airport-Hotel
R. Schmidt (HU Berlin)
23.09.03 - 25.09.03
privat
L. Schwachhöfer (Dortmund) 22.09.03 - 25.09.03 Guest House Ziegelstrasse
H. Siby (Montpellier) 22.09.03 - 27.09.03
Guest House Ziegelstrasse
A. Zeghib (ENS Lyon) 22.09.03 - 26.09.03 Guest House Ziegelstrasse

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Hotelinformation:

How to reach the BEROLINA-AIRPORT-HOTEL (Adlershof):
----------------------------------------

1) From the airport Schoenefeld:

From the airport one has to walk about 5 min. to the train station (S-Bahn) by following the sign of a green capital "S". You can go by any train (S9 or S45) and get off at the third station, called "Adlershof". From the platform you can see now already the hotel BEROLINA on the other side of the street (behind some trees). Use the exit "Adlergestell".

2) From the airport Tegel:

Just in front of the airport  the Express-Bus X9 (in direction "Zoologischer Garten") leaves. You get off at the second station, called  "Jungfernheide". From there you take the train S45 (in direction "Flughafen Berlin-Schoenefeld") or S46 (in direction "Koenigs Wusterhausen") and you will arrive after 42 min. at the station "Adlershof". From the platform you can see now already the hotel  BEROLINA on the other side of the street (behind some trees). Use the exit "Adlergestell".

The address:

BEROLINA airport hotel
Radickestrasse (at the corner Adlergestell)
12489 Berlin-Treptow

see also: http://www.BerolinaHotels.de/deu/airport/index.htm


How to reach the GUEST HOUSE of the HUMBOLDT UNIVERSITY (Ziegelstrasse)
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1) From the airport Schoenefeld:

From the airport one has to walk about 5 min. to the train station (S-Bahn) by following the sign of a green capital "S". You may now either take the city train (S-Bahn) S9 in the direction "Zoologischer Garten" which goes every 20 minutes and takes about 40 min. to "Friedrichstrasse". Or you may take one of the trains RE4, RE5 which are considerably faster (about 25 min. to Friedrichstrasse). Note, that they depart from a different platform. Arrived at "Friedrichstrasse" choose the exit "Friedrichstrasse" and cross the river. The first street on the righthand side is already the "Ziegelstrasse". The guest house is at the righthand side at the corner "Tucholskystrasse".
 
2) From the airport Tegel:

Just in front of the airport  the Bus 128 (in direction "Osloer Strasse") leaves. You get off at the sixth station, called "Kurt-Schumacher-Platz" and from there take the underground train U6 in direction "Alt Mariendorf" until "Friedrichstrasse". Arrived at "Friedrichstrasse" you have to cross the river. The first street on the righthand is already the "Ziegelstrasse". The guest house is at the righthand side at the corner "Tucholskystrasse"

The address:

Gaestehaus der Humboldt-Universitaet
Ziegelstrasse 13 a
10117 Berlin

see also: http://www.Berlin.de/stadtplan/explorer?ADR_ZIP=10117&ADR_STREET=Ziegelstr.&ADR_HOUSE=13

IMPORTANT: The reception works from 6:00 a.m. to 10:00 p.m. If you arrive later in the evening please inform us.

BREAKFAST:  The accommodation is without breakfast. But you may have breakfast in the restaurant of the Bonhoeffer-Haus, some minutes walk in the same street. Alternatively you can go to the Cafeteria at the institute in Adlershof which opens at 8:30 a.m.


How to reach the DORINT-HOTEL Adlershof
--------------------------------------------------------------

You go to the train-station (S-Bahn) "Adlershof" as it is described above (for the Berolina-Airport Hotel). Arrived at "Adlershof" you pass underneath the railway bridge and then follow the "Rudower Chaussee". The DORINT-HOTEL is near the Institute of Mathematics (5 min)

The address:

Dorint-Hotel Adlershof
Rudower Chaussee 15
12489 Berlin


How to get to the MATHEMATICAL INSTITUTE in ADLERSHOF:
------------------------------------------------------

1) From the BEROLINA airport hotel:

you return to the train station "Adlershof". After you pass underneath the railway bridge you follow the "Rudower Chausse". By walking, this takes 10-15 min. Or you may use the Bus 360 for two stations. The bus stop is at the righthand side 100m after the bridge. The mathematical Institute ("John von Neumann"-building) is at the lefthand side.

2) From the guest house:

you return to the station "Friedrichstrasse". The only direct connection to "Adlershof" is the train S9 in direction "Flughafen Schoenefeld" going every 20 minutes. Otherwise one has to change the train at "Ostkreuz". Arrived at "Adlershof" you pass underneath the railway bridge and then follow the "Rudower Chausse". By walking this takes 10-15 min. Or you may use the Bus 360 for two stations. The bus stop is at the righthand side 100m after the bridge. The mathematical institute
("John von Neumann"-building) is at the lefthand side.

see also: http://www.mathematik.hu-berlin.de/org/ahof.html


TICKETS for the TRAFFIC:
-----------------------

All the tickets below you can use in trains, busses and trams.

1) Single trip:
   This ticket is valid for 2 hours and costs 2,20 EUR
   ("Einzelfahrausweis AB")

2) 1 day:
   This ticket is valid until 3:00 a.m. of the next day
   and costs 5,60 EUR ("Tageskarte AB")

3) 1 week:
   The ticket is valid 7 days and costs 23,40 EUR
   ("7-Tage-Karte AB")

If you want tomake yourself familiar with the traffic net you may consult:
 http://www.s-bahn-berlin.de/pdf/s_bahn_netz.pdf

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RegistrationIf you would like to participate in the workshop please send an email or fax with the following information.

Last name:
First name:
Affiliation:
Addresss:
e-mail:
Date of arrival/departure:
Accomodation required (yes/no):

to:
Thomas Leistner
Institute of Mathematics
Humboldt University of Berlin
Rudower Chaussee 25
Berlin 12489, Germany
Phone: +49 30 2093 1809
           +49 30 2093 2522 (Frau Sklarski)
Fax: +49 30 2093 2727
leistner@mathematik.hu-berlin.de
URL: http://www.mathematik.hu-berlin.de/~baum

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Last modification: 20.09.2003