Teaching
Currently (winter 2001) I'm teaching Math 711, Quiver Representations.
I intend to post notes and other material on this website. Below
is a description of the course:
QUIVER REPRESENTATIONS
A quiver is just a directed graph where we interpre the vertices as
vector spaces and the arrows as linear maps. The representation theory
of quivers plays an important role in the study of noncommutative
algebras, but it also has interesting relations to other areas such as
root systems of Lie algebras, the representation theory of GL(n) and
algebraic geometry (moduli spaces).
The course is an opportunity to learn about various topics such
as invariant theory, (elementary) homological algebra,
representation theory etc.
This course will be interesting for students with some background
in commutative or noncommutative algebra, algebraic geometry
or representation theory.
The course does not follow any book. However, I intend to write
down notes or at least summaries of all the lectures. We meet
3 times a week: MWF 2-3pm.
Each week there will be 2 lectures and 1 meeting is dedicated to
excercises which participants are expected to work on.
Office hours:
Monday, Friday 3.30pm-4:30pm
Or by appointment (call or email me)
You're Welcome!!!!!!!
Here are some notes. I may update the files here from time to time.
Choose your format, dvi, ps or pdf. NOTE: PDF doesn't
seem to work properly. I don't know the reason, but you'd better
choose dvi or ps.
- LECTURE 1: dvi,
ps,
pdf
- LECTURE 2: dvi,
ps,
pdf
- LECTURE 3: dvi,
ps,
pdf
- LECTURE 4: dvi,
ps,
pdf
- LECTURE 5: dvi,
ps,
pdf
- LECTURE 6: dvi,
ps,
pdf
- LECTURE 7: dvi,
ps,
pdf
- LECTURE 8:
ps,
pdf
- LECTURE 9:
dvi,
ps,
pdf
- LECTURE 10:
dvi,
ps,
pdf
- LECTURE 11 (updated 4/4):
dvi,
ps,
pdf
- LECTURE 12:
dvi,
ps,
pdf
- LECTURE 13:
dvi,
ps,
pdf
My office is room 3067 East Hall.
The phone number is 763 2309
Email adress: hderksen@math.lsa.umich.edu.