# 206A, Winter 2020

### Professor

Elham Izadi ; AP&M 6240 ; 858-534-2638 ;
eizadi@math.ucsd.edu ; Office hours: 14:00-15:00 Mondays and Thursdays ;

Lectures: Tuesday, Thursday 11:00-12:20 AP&M 5829
### Course description

This is an introduction to Hodge Theory.
### Prerequisites

203C
### Text

Hodge Theory and Complex Algebraic Geometry, Volumes I and II, by Claire Voisin
### References

Complex Geometry An Introduction, by Daniel Huybrechts

Principles of Algebraic Geometry, by Phillip Griffiths and Joseph Harris

A Survey of the Hodge Conjecture, by James Lewis

Period Mappings and Period Domains, by James Carlson, Stefan Müller-Stach and Christiaan Peters

Mixed Hodge Structures, by Christiaan Peters and Joseph Steenbrink (beware mistakes)

Mumford-Tate Groups and Domains: Their Geometry and Arithmetic, by Phillip Griffiths, Mark Green and Matthew Kerr

Hodge Theory, by Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths and Lê Dũng Tráng

A course in Hodge Theory, by Hossein Movasati
### Presentations

This course will feature student
presentations. It is well known that the best way to learn
something is to explain it to others. When we present something to
others, we have to think about it in many different ways and look
at it from different angles. Giving presentations is very
difficult, which is why, when you give presentations, I will not
judge your performance, but will help you learn
the material in the best way possible and also help you learn
how to give presentations. This is a skill that will be very useful in
many different contexts, regardless of what your career goals
are. Any comments will not affect your grade, but will help you learn.

Please prepare your presentations carefully. In particular, please
write detailed typed notes for your presentations. It is usually a good
idea to have a rehearsal with some of your friends/classmates
before your presentation.
### Some class notes:

01/07/2020
01/09/2020

01/14/2020 and 01/16/2020: Jacob's notes

01/21/2020 and 01/23/2020: Shubham's notes

02/11/2020 and 02/13/2020: Bochao's notes
### Note that some adjustment to the above might be necessary during the quarter.

Elham Izadi
Last modified: Thu May 14 13:12:52 PDT 2020