Izbrana poglavja iz geometrije

Izbrane bodo nekatere standardne podiplomske teme iz geometrije, ki vključujejo teorijo shem, teorijo snopov, teorijo realnih (semi)algebraičnih množic, teorijo simplektičnih in kontaktnih mnogoterosti, teorijo foliacij, teorijo simetrij nelinearnih diferencialnih enačb, umeritvene teorije, homologije Floerovega tipa, teorijo Steinovih ploskev itd. Izbira je odvisna od interesov in raziskovalne usmeritve študentov.

[1] T. Broecker, T. tom Dieck, Representations of Compact Lie Groups, Springer, 1985.
[2] P. Griffiths, J. Harris, Principles of algebraic geometry, Wiley, 1978.
[3] R. Hartshorne. Algebraic Geometry, GTM 52, Springer-Verlag, 1977.
[4] D. Husemoller, Fibre bundles, Springer, 1994.
[5] S. Kobayashi, K. Nomizu, Foundations of differential geometry, Wiley, 1963.[6] J. Milnor, J. D. Stasheff, Characteristic classes, Princeton University Press, 1974.
[7] I. Moerdijk, J. Mrčun, Introduction to Foliations and Lie Groupoids, Cambridge University press, 2003.[8] F. W. Warner, Foundations of differentiable manifolds and Lie groups, Springer, 1983.

Namen predmeta je seznaniti študente z nekaterimi pomembnimi temami geometrije.

Znanje in razumevanje predstavljenih konceptov.
Sposobnost uporabe pridobljenega znanja in spretnosti.

Predavanja, konzultacije, reševanje problemov

Pisni izpit (domače naloge), ustni izpit
(ocene: 5 (negativno), 6-10 (pozitivno), ob upoštevanju Statuta UL)

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