Department of

Mathematics


Seminar Calendar
for events the day of Wednesday, June 10, 2015.

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Wednesday, June 10, 2015

10:30 am in 347 Altgeld Hall,Wednesday, June 10, 2015

Noncommutative multi-parameter Wiener-Winter type ergodic theorems

Guixang Hong (ICMA)

Abstract: I first recall some results around Wiener-Wintner Theorem in the commutative setting. Then I present the noncommutative noncommutative multi-parameter Wiener-Wintner type ergodic theorem I have recently established together with Mu Sun. This result generalises the existing results in both commutative and noncommutative setting.

2:00 pm in 347 Altgeld Hall,Wednesday, June 10, 2015

$L_p$-Transference for Equivariant Operators

Adrian Gonzales-Perez (ICMAT)

Abstract: The works of Neuwirth-Ricard and Caspers-de la Salle stablish a procedure for embedding the noncommutative $L_p$-spaces of the von Neumann algebras of amenable groups into ``large'' $L_p$-spaces with the embedding intertwining Fourier and Schur multipliers. Here, we are going to expose an ongoing work that allow us to do the same for crossed products $\mathcal{M} \rtimes_{\theta} G$ where the action $\theta$ is amenable. As a consequence we obtain general ``transference'' results for $\theta$-equivariant operators. The original motivation of this results was to obtain $L_p$ bounds for the crossed product analogues of \textit{strong maximal operators}. This follows through an operator-valued extension of the technique described above.