Dali Shen (沈大立, Assistant Professor)
Date2024-09-23 ~ 2024-12-18
Schedule| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Mon | 13:30-15:05 | A3-1a-204 | Zoom | 559 700 6085 | BIMSA |
| Wed | 09:50-11:25 | A3-1a-204 | Zoom | 559 700 6085 | BIMSA |
Prerequisite
Basic knowledge of polynomials, rings and ideals.
IntroductionAlgebraic geometry is the study of solutions of polynomial equations, and has close connections with other areas of mathematics.
In this course, I will give a basic introduction to algebraic varieties, focusing on using curves (the dimension one case) to illustrate the basic notions in algebraic geometry.
(1) Affine and projective varieties
(2) Local properties of curves
(3) Morphisms of varieties
(4) Resolution of singularities
(5) Riemann-Roch theorem
[1] E. Arbarello, M. Cornalba, P. A. Griffiths, J. Harris, Geometry of algebraic curves, Vol. I, Grundlehren Math. Wiss., 267, Springer-Verlag, New York, 1985. xvi+386 pp.
[2] W. Fulton, Algebraic curves, An introduction to algebraic geometry, Notes written with the collaboration of Richard Weiss, Reprint of 1969 original, Adv. Book Classics, Addison-Wesley Publishing Company, Advanced Book Program, Redwood City, CA, 1989. xxii+226 pp.
[3] Phillip A. Griffiths, Introduction to algebraic curves, Translated from the Chinese by Kuniko Weltin, Transl. Math. Monogr., 76, American Mathematical Society, Providence, RI, 1989. x+221 pp.
Yes
Notes PublicNo
LanguageEnglish
Lecturer IntroDali Shen is an assistant professor at BIMSA currently. His research is focused on algebraic geometry and complex geometry. He obtained his PhD from Utrecht University. Before joining BIMSA, he held postdoc positions at IMPA and TIFR.