Department of

August 2019 September 2019 October 2019 Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa 1 2 3 1 2 3 4 5 6 7 1 2 3 4 5 4 5 6 7 8 9 10 8 9 10 11 12 13 14 6 7 8 9 10 11 12 11 12 13 14 15 16 17 15 16 17 18 19 20 21 13 14 15 16 17 18 19 18 19 20 21 22 23 24 22 23 24 25 26 27 28 20 21 22 23 24 25 26 25 26 27 28 29 30 31 29 30 27 28 29 30 31

Tuesday, April 2, 2019

**Abstract:** I will present a max-min theorem for weak containment in the context of algebraic actions (i.e. actions of a discrete group by automorphisms of a compact group). Namely, given an algebraic action of $G$ on $X$, there is a maximal, closed $G$-invariant subgroup $Y$ of $X$ so that the action of $G$ on $Y$ is weakly contained in a Bernoulli shift. This subgroup is also the minimal subgroup so that any action weakly contained in a Bernoulli shift is "$G$**↷**$X/Y$-ergodic in the presence of $G$**↷**$X$" (this will be defined in the talk). Time permitting, I will discussion applications. These include showing that many algebraic actions are weakly contained in a Bernoulli shift, as well as applications to complete positive entropy of algebraic actions.

Friday, August 30, 2019

Friday, September 6, 2019

Friday, September 13, 2019

Friday, September 20, 2019

Friday, September 27, 2019

Friday, October 4, 2019

Friday, October 11, 2019

Friday, October 18, 2019

Friday, October 25, 2019

Friday, November 1, 2019

Friday, November 8, 2019

Saturday, November 9, 2019

Friday, November 15, 2019

Friday, November 22, 2019

Friday, December 6, 2019

Friday, December 13, 2019