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Schedule
Date | Speakers | Details |
---|---|---|
Feb. 8, 2020. 19:30 | Preliminary meeting. Mainly organizational details, finalizing list of talks, etc. | |
Feb. 15, 2020. 19:30 | Fundamentals of Algebraic Geometry. Set up (Noetherian rings), algebraic sets, correspondences between ideals and algebraic sets, Hilbert's Basis Theorem and Hilbert's Nullstellensatz. | |
Feb. 23. 2020.19:30 | Kaleny, Bishoy | Functions on varieties. section 4 (Reid) |
Feb 29. 2020. 19:30 | Devkota, Prabhat | Hyperelliptic curves |
Mar 07. 2020. 19:15 | Rudimentary Sheaf Cohomology. Exactness, complexes, and (co)homology. Sheaves, Sheaf Cohomolgoy, a finiteness theorem, Dolbeault's Theorem, deRham's theorem. | |
Mar 15. 2020. 19:00 | 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) | |
Serre Duality and the Adjunction Formula. See this file. The notes are meant to be read together with both roadmaps. | ||
Mar 29, 2020. 19:15 | Discussion: COVID-19 + new seminar format. | |
Apr 4, 2020. 19:15 | ||
Apr. 26, 2020. 19:15 | Oprea, Maria Antonia | Poincaré Duality. |
May 2, 2020. 19:15 | Cremona Group and its finite order subgroups. References: Igor V. Dolgachev, Vasily A. Iskovskikh "Finite subgroups of the plane Cremona group" and Jérémy Blanc "Elements and cyclic subgroups of finite order of the Creoma group". | |
May 3, 2020, 19:15 | Weiss, Nicolas Alexander | K3 Surfaces. |
Meeting time
Saturdays 19:15.
Seminar Room, Research 1 (pre COVID-19)
Teams (post COVID-19)
Participants
Pal, Abhik Devkota, Prabhat Irungu, Martin Waiharo Weiss, Nicolas Alexander Oprea, Maria Antonia Kaleny, Bishoy
References
- Reid "Undergraduate Algebraic Geometry" – Chapter 2 sections 3 and 4.
- Forster "Lectures on Riemann Surfaces" – Sections 6 and 12 – 15.
- Griffiths & Harris "Principles in Algebraic Geometry" - Chapter 1 and 4
- Yuri Manin, "Cubic Forms" - Chapter IV
- Igor V. Dolgachev, Vasily A. Iskovskikh "Finite subgroups of the plane Cremona group"
- Jérémy Blanc "Elements and cyclic subgroups of finite order of the Creoma group".