The seminar started as seminar on "Introduction to algebraic geometry", aimed at learning basics of algebraic geometry and number theory. Generally, this seminar studies modern geometric and algebraic methods in mathematics and physics. It meets regularly at the Mathematical Institute since Fall 1994.
The audience typically consists of mathematicians of various backgrounds (from theoretical physics to logic), taking turns in lecturing. For more information write to Pavel Pudlak or Petr Somberg who organize the seminar.
Everybody is welcome to attend! There are no particular prerequisites for attending the seminar. In particular, it is not assumed that you have studied the material from earlier years of the seminar.
Current time and place:Thursday 9.00-10.30, P. Pudlak's office, 2nd floor.
Spring'08 will be devoted to the study of complexity theory and combinatorics.
Topics studied in the pastThe following texts were studied up to date:
D. Cox, J. Little a D. O'Shea: Ideals, Varieties, and Algorithms, Springer-Verlag, 1992. J. Harris: Algebraic Geometry, Springer-Verlag, 1992. D. Mumford: The Red Book of Varieties and Schemes, Springer-Verlag, LNM 1358, 1988. D. Eisenbud a J. Harris: Schemes: The Language of Modern Algebraic Geometry, The Wadsworth & Brooks/Cole Math. Ser., 1992. D. Lorenzini: An Invitation to Arithmetic Geometry, AMS, Grad. Studies in Math., Vol.9, 1996. D.A. Cox: Primes of the form x^2 + n y^2, John Wiley and Sons Ltd, 1997. M. Hindry and J.H. Silverman: Diophantine Geometry, Springer-Verlag, 2000. H. Stichtenoth: Algebraic function fields and codes, Spriner-Verlag, 1993. N. Wallach: Lectures on quantum computation, Lecture notes, 2004. P. Soardi: Potential Theory on Infinite Networks, Springer Verlag, 1994. Khovanov: A categorification of the Jones polynomial, Duke Math. J. 101 (2000), no. 3, 359-426. D. Mumford: Geometric invariant theory.