CS 810 - Complexity Theory
Spring 2007 |
Lecture Notes
Below you can find the lecture notes that are currently available as
well as the tentative schedule for the rest of the semester.
For information on how to write up your scribe notes in LaTeX, check out these
guidelines.
File with all lectures (excluding finite fields handout):
PDF (~ 2MB),
PS (~ 45MB).
PDF file with some background
on finite fields.
| Date
| Topic
| Scribe
|
1 |
1/22 |
Introduction:
PS,
TEX |
Jeff Kinne |
2 |
1/24 |
Determinism and Nondeterminism:
PS,
TEX |
Matt Elder |
3 |
1/24 |
NP-Completeness:
PS,
TEX |
Baris Aydinlioglu |
4 |
1/29 |
Time-Bounded Nondeterminism:
PS,
TEX |
Baris Aydinlioglu |
5 |
1/31 |
Space-Bounded Nondeterminism:
PS,
TEX |
Matthew Anderson |
6 |
2/2 |
Alternation:
PS,
TEX |
Piramanayagam Arumuga Nainar |
7 |
2/5 |
Nonuniformity:
PS,
TEX |
Chi Man Liu |
8 |
2/7 |
Constant-depth circuits:
PS,
TEX |
Seeun William Umboh |
9 |
2/9 |
Polynomial Approximations:
PS,
TEX |
Piramanayagam Arumuga Nainar |
10 |
2/12 |
Parallelism:
PS,
TEX |
Matt Elder |
11 |
2/14 |
Randomness:
PS,
TEX |
Jake Rosin |
12 |
2/16 |
Expanders:
PS,
TEX |
Nathan Collins |
13 |
2/19 |
Amplification:
PS,
TEX |
Matthew Anderson |
14 |
2/20 |
Space-Bounded Derandomization:
PS,
TEX |
Jake Rosin |
15 |
2/21 |
Time-Bounded Derandomization:
PS,
TEX |
Thomas Watson |
16 |
2/23 |
Error Correcting Codes:
PS,
TEX |
Matt Elder |
17 |
2/26 |
Worst-Case to Average-Case Reductions:
PS,
TEX |
Thomas Watson |
18 |
2/28 |
Randomness Extraction:
PS,
TEX |
Jeff Kinne |
19 |
3/1 |
Counting:
PS,
TEX |
Chi Man Liu |
20 |
3/2 |
Alternation vs Counting:
PS,
TEX |
Jeff Kinne |
21 |
3/19 |
Quantum Effects:
PS,
TEX |
Seeun William Umboh |
22 |
3/21 |
Proof Complexity:
PS,
TEX |
Nathan Collins |
23 |
3/26 |
Interactive Proofs:
PS,
TEX |
Seeun William Umboh |
24 |
3/28 |
Probabilistically Checkable Proofs:
PS,
TEX |
Thomas Watson |
25 |
3/30 |
Harmonic Analysis:
PS,
TEX |
Nathan Collins |
26 |
4/11 |
Cryptographic Primitives:
PS,
TEX |
Chi Man Liu |
27 |
4/13 |
Zero-Knowledge:
PS,
TEX |
Matthew Anderson |
28 |
4/16 |
Computational Learning Theory:
PS,
TEX |
Jake Rosin |
29 |
4/18 |
Query Complexity:
PS,
TEX |
Jeff Kinne |
30 |
4/20 |
Communication Complexity:
PS,
TEX |
Piramanayagam Arumuga Nainar |
|