Introductory Algebraic Geometry for Young String Theorists

A series of informal lectures at Kavli IPMU, 2016 autumn semester (+ rerun in 2019)

Objectives

Introductory materials in algebraic geometry.
Intended audience: young string theorists.
            "string theorists" = those who won't be professional mathematicians, but may be benefited from learning algebraic geometry.
Priority is given to intuitions and typical examples than to rigorous proofs and pathological examples.
Just basic minimal stuff that is important for users of algebraic geometry.

Prerequisite: something like junior level in math department??

Hours and Rooms: Wednesdays 12:00--13:00 at Seminar room A, Kavli IPMU (Kashiwa Campus)

Announcement:
                (1) This is NOT an official course of the University of Tokyo.

Plan of the progress
1. ring-geometry correspondence (1.5 weeks)
2. divisor, linear equivalence, intersection number (net 2 weeks)
3. singularity, resolution (1.5 weeks)
4. line bundle, locally free sheaf, divisor (3 weeks)
5. Riemann-Roch (1 week)
6. curve, surface (1 week)
7. introduction to toric geometry (1 week)

note-pdf
11 weeks total.