Feb. 8, 2020. 19:30
Feb. 15, 2020. 19:30
Weiss, Nicolas Alexander
Fundamentals of Algebraic Geometry. Set up (Noetherian rings), algebraic sets, correspondences between ideals and algebraic sets, Hilbert's Basis Theorem and Hilbert's Nullstellensatz.References: Section 3 (Reid)
Functions on varieties. section 4 (Reid)
Rudimentary Sheaf Cohomology. Exactness, complexes, and (co)homology. Sheaves, Sheaf Cohomolgoy, a finiteness theorem, Dolbeault's Theorem, deRham's theorem.References: See this file for references to all results that were discussed in the talk.
Mar 15. 2020.
Divisors and Line Bundles. Recalling the notion of a divisor in the context of sheaves. Defining line bundles, the Picard group and associated line bundles.
References: Chapter 1 (Griffith & Harris)
Irungu, Martin Waiharo
Saturdays 19:15. Seminar Room, Research 1 (pre COVID-19)Teams (post COVID-19)
Pal, Abhik Devkota, Prabhat Irungu, Martin Waiharo Weiss, Nicolas Alexander Oprea, Maria Antonia Kaleny, Bishoy