Unless specified, all seminars are Wednesday 4-5pm at 250 Math Building.

February 19

A bijection between topological left-invariant means on an amenable group and those on a lattice subgroup

G-invariant probability measure. There is a natural affine injection Phi: LIM(D) to TLIM(G), as shown by Grosvenor [1985]. He was only able to prove

Phi is surjective in some trivial cases, essentially G = R^d, D = Z^d. In this talk, I will show Phi is surjective iff G/D is compact.

Past Analysis Seminar