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\noindent
\parbox{13cm}{{\large\bfseries
Seminar on symplectic geometry}\\
Universit\"at Regensburg, Sommersemester 2013}
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\begin{enumerate}
 \item Introduction: symplectic manifolds, examples (cotangent bundles, coadjoint orbits), 
 compatible triples and obstructions to existence of symplectic structures
(\cite{S}, 3-14, 83-92, 154-155, 163; \cite{B}, 80-89, 100-103; \cite{DS}, 37-50, 117-123; \cite{MR}, 443-459).  17.04.2013.\\ 
 \item Lagrangian submanifolds, symplectomorphisms and generating functions, application to geodesic flow
 (\cite{S}, 17-23, 25-27, 28-29; \cite{DS} 50-51). 24.04.2013.\\
 \item Deformations and rigidity of symplectic structures:  tubular neighborhood theorem, Moser trick, Darboux Theorem
 (\cite{S}, 41-55; \cite{DS}, 93-97). 30.04.2013, 8.15, M201.\\
 \item  Weinstein tubular neighborhood theorem
 (\cite{S}, 56-65; \cite{B}, 103-108; \cite{DS}, 99-103). 15.05.2013.\\
 \item Hamiltonian Mechanics, Variational Principles and Legendre Transform (\cite{S} 127-146; \cite{MR}, 157-159; \cite{B} 90-94). 22.05.2013.\\
 \item Moment maps, Noether's theorem (\cite{S} 157-162,  173-177, 193-198; \cite{MR} 383-395; \cite{DS}, 161-169). 29.05.2013.\\
 \item Symplectic Reduction (\cite{S} 167-171; \cite{B}, 116-125; \cite{DS}, 173-178). 05.06.2013.\\
 \item Convexity Theorem of Atiyah, Guillemin-Sternberg (\cite{S}, 199 - 205; \cite{DS}, 179-191). 12.06.2013.\\
 \item Delzant Theorem for symplectic toric manifolds (\cite{S}, 209-222). 19.06.2013.\\
 \item K\"ahler geometry (\cite{S}, 101-123;\cite{M} 81-86, 93-95). 26.06.2013\\
 \item Recent applications of reduction (K\"ahler and HyperK\"ahler reductions, examples),
 (\cite{B}, 130-148). 03.07.2013.\\
 \item Toric K\"ahler manifolds (\cite{Gu}, \cite{CDG}, \cite{A1}, \cite{A2}) 17.07.2013.
\end{enumerate}


% Extra-talk: The Gromov School of Symplectic Geometry (\cite{B}, 153-164).

\newpage
\begin{thebibliography}{8888}
\bibitem[A1]{A1} Miguel Abreu: K\"ahler geometry of toric manifolds in symplectic coordinates,Symplectic and contact topology: interactions and perspectives (Toronto, ON/Montreal, QC, 2001),  1-24, Fields Inst. Commun., 35, Amer. Math. Soc., Providence, RI, 2003.\\
(http://arxiv.org/pdf/math/0004122.pdf).
\bibitem[A2]{A2} Miguel Abreu: K\"ahler geometry of toric varieties and extremal metrics, Internat. J. Math.  9  (1998),  no. 6, 641-651,\\
(http://arxiv.org/pdf/dg-ga/9711014.pdf)
\bibitem[B]{B} Robert Bryant: An Introduction to Lie Groups and Symplectic Geometry, Lectures Notes Park City 1991,
(http://www.math.duke.edu/~bryant/ParkCityLectures.pdf)
\bibitem[CDG]{CDG} David Calderbank, Liana David, Paul Gauduchon: The Guillemin formula and K\"ahler metrics on toric symplectic manifolds,
J. Symplectic Geom., vol. 1, no. 4 (2002) p. 767-784.\\
(http://arxiv.org/pdf/math/0310243.pdf)
%\bibitem[CG1]{CG1} Gil Cavalcanti, Marco Gualtieri: Blow-up of generalized complex $4$-manifolds, J.Topol.2, 840-864,2009,
%(http://arxiv.org/pdf/0806.0872.pdf).
%\bibitem[CG2]{CG2} Gil Cavalcanti, Marco Gualtieri: A surgery for generalized complex structures on
%4-manifolds. J. Differential Geom., 76(1), 35-43, 2007, (http://arxiv.org/abs/math/0602333).
\bibitem[DS]{DS} Dusa McDuff, Dietmar Salamon: Introduction to Symplectic Topology. Oxford Science Publications, 1998.
%\bibitem[G]{G} Marco Gualtieri: Generalized Complex Geometry, part of PhThesis, Oxford, 2007,\\
%(http://arxiv.org/abs/math/0703298).
\bibitem[Gu]{Gu} Victor Guillemin: K\"ahler structures on toric varieties, Journal of Di?erential Geometry 40 (1994), 285-309.
\bibitem[MR]{MR} Jerrold Marsden, Tudor Ra\c tiu: Introduction to Mechanics and Symmetry, Springer, 1999.
\bibitem[M]{M} Andrei Moroianu: Lectures on K\"ahler Geometry, London Mathematical Society, Student Texts 69, Cambridge University Press, 2007.
\bibitem[S]{S} Ana Cannas da Silva: Lectures on Symplectic Geometry, Springer Lecture Notes in Mathematics 1764, second printing 2008.
\end{thebibliography}

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\begin{enumerate}
 \item  Generalized Complex Geometry I (\cite{G})\\
 \item  Generalized Complex Geometry II (\cite{G})\\
 \item  Generalized Complex Geometry III (\cite{G})\\
 \item Generalized complex manifolds carrying neither complex nor symplectic structures (\cite{CG1}, \cite{CG2})\\
\end{enumerate}