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Algebraic cobordism of Levine-Morel SemesterSoSe 2023 Lecturer Pavel Sechin Type of course (Veranstaltungsart) Vorlesung German title Algebraischer Kobordismsus von Levine-Morel Contents Algebraic cobordism of Levine-Morel is a cohomology theory that widely generalises Chow ring and K_0 of a smooth variety over a field. It has the universal property of an oriented cohomology theory, i.e. a theory that has not only pullbacks but also pushforwards for projective morphisms. The lectures will give an introduction to the subject covering the geometric construction, Grothendieck-Riemann-Roch-type theorems, generalised Rost degree formula and the structural results on algebraic cobordism. Literature Levine M., Morel F. Algebraic cobordism. – Springer Science & Business Media, 2007. Levine M., Pandharipande R. "Algebraic cobordism revisited." Inventiones mathematicae 176.1 (2009): 63-130. Recommended previous knowledge acquaintance with algebraic geometry (in particular, smooth morphisms, effective Cartier divisors, projective bundles, blow-ups; but some of these may be reviewed if necessary). Time/Date Friday 12-14 Location M 103 Registration
BV, MV, MArGeo, MGAGeo ECTS 4,5 ECTS |