Versions Compared
Key
 This line was added.
 This line was removed.
 Formatting was changed.
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: COVID19 + 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, 19:30  Weiss, Nicolas Alexander  K3 Surfaces. Describing canonical bundles as associated bundles, defining Iitake and Kodaira dimension and putting the adjunction formula into perspective for classification of surfaces in P_3. Introducing K3 surfaces and Quartics and Kummer surfaces as prominent examples. 
May 10, 2020, 19:30  Devkota, Prabhat  Mori Theory and Classification of surfaces.

Meeting time
Saturdays 19:15.
Seminar Room, Research 1 (pre COVID19)
Teams (post COVID19)
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".