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Seminar on Algebraic Geometry

Time: tuesdays, 14:00 - 15:30
Place: ricam seminar room

 
October 2003
14.10. Topic discussion
21. 10. Josef Schicho
28.10. Tobias Beck Basic notions of singularity theory
germs of subsets, germs of maps, properties, equivalences of map germs,
(R-equivalence, L-equivalence, A-equivalence, K-equivalence)
 
November 2003
4.11. Tobias Beck Basic notions of singularity theory 2
classical constant rank theorem, new constant rank theorem
Gábor Bodnár Basic classification results
semialgebraic sets, proposition of Tarski-Seidenberg-Chevalley, tangent spaces and transversals
11.11. Gábor Bodnár Linear maps and quadratic forms
18.11. Gábor Bodnár Linear maps and quadratic forms 2
plane cubic curves, Hesse normal form, complete classification of planar cubic curves, demos
25.11. SFB hearing discussion
 
December 2003
2.12. SFB hearing discussion
 
January 2004
13. 1. Josef Schicho Regularization
20. 1. Ibolya Szilágyi Heuristics for solving (systems of) polynomial equations
algebraic, geometric, subdivision, analytic methods; Groebner basis, resultant, multivariate resultant,
Homothopy method, Eigenvalue, Newton iteration, SVD, least square;
existing computer algebra systems and packages
27. 1., 10:00 Tobias Beck Definition of standard basis and Mora's algorithm
tangent cone, standard base, Lazard's method, Mora's algorithm
Gábor Bodnár Computations in local rings
 
February 2004
3. 2., 13:00 Janka Pílniková Canonical divisor
 

Past seminars