ALGEBRAIC AND GEOMETRIC COMPLEXITY THEORY
cs598maf (SPRING 2023)
# Date lecture topic reading pset
1 01-17 T Intro, Bipartite Matching (pdf, audio) SY §1, Harvey, Kleinberg §1.0,1.1,5.0-5.2,5.5.0-5.5.1
2 01-19 R Algebraic Circuits, Homogenization, Elimination of Divisions (pdf, mp4) SY §1.1,2.2.0,2.5
01-23 M pset1 (tex/pdf)
01-24 T cancelled due to technical problems
3 01-26 R Constructions of algebraic circuits (pdf, mp4) wikipedia, Kaltofen pg 2-3, Forbes §B.2, Rao (pdf, pdf )
4 01-31 T Depth Reduction (pdf, mp4) SY §2.4, Saptharishi §5.3.0,5.3.1,5.3.3, Forbes Lemma 7.2.4, Raz-Shpilka Lemma 2, BCS ex 21.17(a), Koiran §4
5 02-02 R Completeness for VP, VNP (pdf, mp4) SY §1.2, Saptharishi §3.0 -3.3.2
02-07 T cancelled
6 02-09 R Strassen's algorithm (pdf, mp4) Bläser §1,2
7 02-14 T Non-scalar and bilinear complexity (pdf, mp4) Bläser §4
8 02-16 R Exponent of Matrix Multiplication; Tensor Rank (pdf, mp4) Bläser §4,5 pset2 (tex/pdf)
03-06 M pset3 (tex/pdf)