SO(3)
Galois groups
elliptic curves
K3 surfaces
degree 4
quartic
quadratic
GL(N)
ζ(s)
SO(N)
degree:
abelian surfaces
GSp(4)
degree d
dimension 6
GL(1)
degree 6
GSp(2)
degree d
Q
sextic
dimension 5
1
dimension 4
GL(5)
dimension 3
dimension N
2
dimension 2
C-Y 3-folds
GSp(2m)
5
genus 3
N
GL(3)
Q
quintic
3
cubic
hyperelliptic curves
degree 5
degree 3
4
genus 2
6
L(s,χ)
GSp(6)
SO(2)
degree 2
GL(6)
SO(4)
GL(4)
GL(2)