Spring School: Rational Curves and Contact Geometry
This is a Spring School of the SFB/TRR 45 BonnEssenMainz financed by Deutsche Forschungsgemeinschaft. It takes place March 1014, 2014 at the University of Mainz.
What 


When 
Mar 10, 2014 09:00 AM
to Mar 14, 2014 01:00 PM 
Where  Mainz, 05426 
Contact Name  Jutta Gonska 
Contact Phone  +4961313922327 
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Speakers:
Stéphane Druel (Grenoble)
Thomas Peternell (Bayreuth)
Jarosław Wiśniewski (Warsaw)
This spring school is intended for advanced master students, PhD students and Postdocs in Algebraic Geometry. Its intention is to provide an introduction to the theory of moduli of rational curves and its application to the contact geometry.
Please note that details of the following program might be tentative only:
Stéphane Druel: Geometry of rational curves

The space of rational curves, dimension estimates.
 Existence of rational curves.
 Families of singular rational curves.
 Characterization of the projective space
(Cho/Miyaoka/ShepherdBarron, Kebekus).
 Varieties of minimal rational tangents (birationality of the tangent morphism, singular VMRT).
Thomas Peternell: Fano manifolds and an elementary introduction to Mori theory
 The minimal model program in dimension 2.
 Fano manifolds I (definition, basic properties, examples).
 Fano manifolds II (boundedness, classification).
 Vanishing and nonvanishing theorems.
 Minimal model program in higher dimensions.
Jarek Wisniewski: Contact Geometry
 Contact structure on complex manifolds and relation to holonomy.
 Contact and related symplectic structures. Examples.
 The bundle of first jets. Spannedness of jets and homogenity.
 Towards the classification of complex contact manifolds.
 VMRT's are Legendrian
Literature

Beauville, Riemannian holonomy and algebraic geometry. Enseign. Math. 53 (2007), 97–126; http://arxiv.org/abs/math/9902110
 Beauville, Fano contact manifolds and nilpotent orbits. Comment. Math.
Helv. 73 (1998), 566–583. http://arxiv.org/abs/alggeom/9707015
 Buczyński, Legendrian subvarieties of projective space. Geom. Dedicata
118 (2006), 87–103. http://arxiv.org/abs/0805.3848
 Demailly, On the Frobenius integrability of certain holomorphic pforms.
in Complex geometry (Göttingen, 2000), 93–98, Springer, Berlin, 2002.
http://arxiv.org/abs/math/0004067
 Kebekus, Lines on complex contact manifolds. II. Compos. Math. 141 (2005), 227–252. http://arxiv.org/abs/math/0306260
 Kebekus, Peternell, Sommese, Wiśniewski, Projective contact manifolds. Invent. Math. 142 (2000), 1–15. http://arxiv.org/abs/math/9810102
Schedule:
Time  Monday  Tuesday  Wednesday  Thursday  Friday 

9:00 
Registration 05432 

9:3010:30  Peternell 
Peternell 
9:1510:00 Peternell 
Peternell 
9:1510:00 Peternell 
10:3011:00  Coffee break 
Coffee break  10:0010:30 Coffee break 
Coffee break  10:0010:30 Coffee break 
11:0012:00  Druel 
Druel 
10:3011:15 Druel 
Druel  10:3011:15 Druel 
12:0014:00  Lunch 
Lunch 
11:4512:30 Wiśniewski 
Lunch 
11:4512:30 Wiśniewski 
14:0015:00 
Wiśniewski  Wiśniewski  Free afternoon 
Wiśniewski  
15:0015:30 
Coffee break 
Coffee break  Coffee break  
15:3017:00 
discussion session 
discussion session 
discussion session 
Registration will be in room 05432 (5th floor).
All lectures will take place in room 05426 (5^{th} floor), the discussion sessions will be in room 04426 (4^{th} floor), 04432 (4^{th} floor), and 05426 (5^{th} floor).
Organizers:
Manfred Lehn (Mainz)
Thomas Peternell (Bayreuth)
Registration and Financial Support
Full financial support is available for members of the SFB/TRR 45. There is limited support (accomodation in one of the two hotels listed below) for other participants, too.
Registration is possible until March 5, 2014.
Accomodation
We have reserved a block of rooms at Hotel Advena and Cityhotel Neubrunnenhof , both hotels are located close to the main
train station in Mainz. Please state the key word "Spring School University of Mainz" when contacting one of the hotels. Please note, however, that the number of rooms is limited
and rooms are allocated on a "first come  first serve" basis so early reservation is recommended.
If you prefer to make reservations in another hotel, we refer to the home page of the City of Mainz where you will find a detailed list of hotels in and around Mainz.
Travel information
All lectures will take place at the Institute of Mathematics of the University of Mainz, Staudinger Weg 9, in room 05426.
The next bus stop when coming from the city centre/main station (e.g. bus lines 9, 54, 55, 58, 68) is "FriedrichvonPfeifferWeg".
Maps
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