Arbeitsgruppe Komplexe Geometrie
Lehrveranstaltungen Prof. Dr. Daniel Huybrechts u. AG Komplexe Geometrie
im Sommersemester 2013:
Vorlesung Algebraic Geometry III: K3 surfaces (V5A3)
D. Huybrechts
Montag 10:00 ct - 12:00 Uhr, Endenicher Allee 60, Seminarraum 0.011
Freitag 10:00 ct - 12:00 Uhr, Endenicher Allee 60, Seminarraum 0.011
This course will cover basic aspects of the theory of K3 surfaces and, at the same time, introduce important techniques in algebraic geometry. For the first parts I will rely on the lecture notes here:
Details
Later I will try to cover further topics, eg derived categories of coherent sheaves on K3 surfaces, automorphism groups of K3 surfaces, etc. Some fair amount of lattice theory will have to be discussed as we go along.
A solid background in algebraic geometry will be assumed, eg Liedtke's course last semester or Hartshorne's book.
References:
R. Hartshorne, Algebraic Geometry, Springer, GTM 52, 1977; tba
Graduate Seminar on Algebraic Geometry (S4A1):
Fano varieties and cubics: Hodge theory and derived categories
D. Huybrechts
Dienstag 14:00 ct - 18:00 Uhr, Endenicher Allee 60, Seminarraum 0.011 bzw. Lipschitzsaal
Details
Graduate Seminar on Advanced Geometry (Modul S4D3):
D. Huybrechts u. T. Schuerg
Donnerstag, 14:00 ct - 16:00 Uhr, Endenicher Allee 60, Seminarraum 0.011
The seminar will cover parts of the theory contained in [1]-[3]. (The references [4]-[6] are more advanced and can be used to go deeper into the subject.) The seminar will be concerned with the global aspects of the theory of compact complex manifolds. We will discuss basic notions for holomorphic functions in several variables (eg the Weierstrass preparation theorem), but will only quote the deeper analytical aspects of the theory. We will emphasize the geometric concepts and cohomoloigcal methods in the study of compact complex manifolds.
Further Details
References:
[1] W. Ballmann: Lectures on Kähler manifolds. ESI Lectures in Mathematics and Physics. EMS, Zürich, 2006
[2] M. de Cataldo: The Hodge theory of projective manifolds. Imperial College Press, London, 2007
[3] D. Huybrechts: Complex geometry. An introduction. Universitext. Springer-Verlag, Berlin, 2005
[4] C. Voisin: Hodge theory and complex algebraic geometry. I. Cambridge Studies in Advanced Mathematics, 76. 2002
[5] Ph. Griffiths, J. Harris: Principles of algebraic geometry. John Wiley & Sons, Inc., New York, 1978
[6] J.-P. Demailly Complex differential geometry. http://www-fourier.ujf-grenoble.fr/~demailly/manuscripts/agbook.pdf
Graduate Seminar on Algebraic Geometry (SAG) (Modul S4A2)
Gastvorträge zu aktuellen Ergebnissen der algebraischen und komplexen Geometrie
Donnerstag 10.30 Uhr, Hörsaal MPI, Vivatsgasse 7
SAG Sommersemester 2013
Last modified:
03/2013
sachinid (in domain math.uni-bonn.de)
News
Jessica Fintzen wins Cole Prize
Dr. Regula Krapf receives university teaching award
Prof. Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts
Prof. Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019
Prof. Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Grants for Mathematics students from Ukraine
Prof. Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Prof. Peter Scholze elected as Foreign Member of the Royal Society