The program of EAGER started in October 2000 and now it passed it's
midpoint. Here we present the summary of EAGER activities related to
Polish node of the network.
The tasks of EAGER have been defined as follows:
training of young researchers in Algebraic Geometry through
fellowships and mobility;
joint European research projects in Algebraic Geometry;
organisation of summer schools and training courses.
Training of young researchers in Algebraic Geometry through
fellowships and mobility
The following people have been awarded EAGER fellowships in Poland:
Pre-docs:
Franziska Bittner (Utrecht, Nederlands), 1 month, May 2001.
Stavros Papadakis (Athens, Greece), 1 month, September 2001.
Daniele Faenzi (Florence, Italy), 1 month, October 2001.
Elena Chierici (Trento, Italy), 1 month, March and May 2002.
Post-docs:
Jan Wierzba (Germany), 2 months, February 2001 and April 2002.
Massimiliano Mella (Ferrara, Italy), 1 month, May 2001.
Stavros Papadakis (Athens, Greece), 1 month, November 2001.
The following Polish young researchers visited other nodes of EAGER:
Jan Gorski (Warszawa) visited Nice, EAGER fellowship: 6 months in
2001-2002.
Wioletta Syzdek (Krakow) visited Essen and Marburg, EAGER
fellowship: 3 months in 2002.
Adrian Langer (Warszawa) Marie Curie Fellow in Warwick, 24 months
in 2000-2002.
Tomasz Szemberg (Krakow) visited Essen, supported by German DFG,
12 months, 2001-2002.
Slawomir Rams (Krakow) visited Erlangen, supported by German DFG,
12 months, 2002.
Oskar Kedzierski (Krakow) visited Marie Curie Training Site in
Warwick, 6 months in 2001-2002.
Courses and schools for young researchers
The following schools have been organized in Poland and partialy supported by
EAGER:
24rd Autumn School in Algebraic Geometry: Moduli of
vector bundles and group action, Wykno , September 9 - 16, 2001,
teachers: Giorgio Ottaviani (Firenze, Italy) and Jean Valles
(Versailles - Saint Quentin en Yvelines, France), organizers: M. Szurek, J.
Wisniewski.
Banach Center School on Linear
Series & Syzygies, March 18-22, 2002, Bedlewo (Poland), teachers:
Th. Bauer (Marburg), C. Birkenhake (Mainz), T. Szemberg (Krakow); local
organizer: T. Szemberg.
Mini school at Banach Center in Warsaw: Characteristic
classes of singular varieties, April 22-28, 2002, teachers: Paolo
Aluffi (Florida/Bonn) and Joerg Schuermann (Muenster); organizers: P.
Pragacz, A. Weber.
Mini school at Banach Center in Warsaw: Stratifications of
moduli spaces,May 13-19, 2002, main teacher: Gerard van der Geer
(Amsterdam); organizers: P. Pragacz, A. Weber.
Apart of the teachers of the above schools the following external
experts visited Warsaw node of EAGER and gave talks at seminars:
Michel Brion (Grenoble), October 2001.
Janos Kollar (Princeton and Budapest), March 2002.
Joint scientific projects
Algebraic group actions and quotients; team: A. A'Campo-Neunen
(Konstanz), J-M. Drezet (Paris), J. Hausen (Konstanz), M. Koras (Warsaw), P.
Russell (Montreal), J. Swiecicka (Warsaw). Task: notes of 23rd Autumn School
in Algebraic Geometry, research/expository articles on current research
program in a book to be published by Hindawi Publishing in 2002/2003, editor:
J. Wisniewski (Warsaw). Articles: J-M. Drezet, Luna's slice theorem and
applications, A. A'Campo-Neunen, J. Hausen, Toric invariant theory
, M. Koras, P. Russell, Linearization problems, J. Swiecicka,
Good quotients of reductive group actions - combinatorics in projective
spaces
Linear series on algebraic varieties; team: Th. Bauer (Marburg), Ch.
Schulze (Marburg), W. Syzdek (Krakow), T. Szemberg (Krakow), S. Rams (Krakow).
Publications: T. Szemberg, S. Rams, Simultaneous generation of jets on K3
surfaces , W. Syzdek, Nagata
submaximal curves on P^1xP^1; other publications in preparation.
Holomorphic symplectic manifolds; team: J. Wierzba (Berlin), L.
Sola Conde (Madrid), J. Wisniewski (Warszawa). Highlights: small
symplectic contractions of 4-folds, flops related to resolutions of
nilpotent orbits, varieties whose tangent bundle is 1-ample. Preprint:
J. Wierzba, J. Wisniewski:
Small contractions of symplectic 4-folds , (2001).
Double octic Calabi-Yau manifolds; team: D. van Straten (Mainz),
Christian Meyer (Mainz), S. Cynk (Krakow). Highlights: infinitesimal
deformations of double coverings, equisingular deformations, Hodge
numbers and L-series of certain Calabi-Yau. In preparation: S. Cynk,
D. van Straten, Deformations of double coverings of smooth
algebraic varities, S. Cynk, C. Meyer, Hodge numbers and
L-series of certain Calabi-Yau manifolds
Remmert - Van de Ven problem for complex varieties; team: G-L
Occhetta (Trento), L. Sola Conde (Madrid), J. Wisniewski (Warszawa).
Highlights: R-VdV problem for toric varieties and products of
projective spaces. Publication: GL. Occhetta, J. Wisniewski: On
Euler-Jaczewski sequence and Remmert - Van de Ven problem for toric
varieties, (2001, to appear in Math. Zeit.).
Special higher dimensional varieties; team: M. Andreatta
(Trento), J. Wisniewski (Warszawa); highligths: manifolds whose
tangent bundle contains an ample locally free subsheaf,
quasi-homogeneous 4-folds; publications:
M. Andreatta, J. Wisniewski, On manifolds whose tangent
bundle contains an ample subbundle, Invent. Math. 146 (2001),
M. Andreatta, J. Wisniewski, On quasihomogeneous manifolds-via
Brion-Luna-Vust theorem, to appear in Bull. U. Mat. Italiana.
Other publications and preprints related to joint activities