Banach December 2021

banach@mathdept.okstate.edu

2 participants
2 discussions

Acta Sci Math (Szeged)
by Bentuo Zheng (bzheng) 18 Dec '21

18 Dec '21

News about the journal Acta Sci Math (Szeged) Acta Sci Math (Szeged) was founded and established by Alfréd Haar and Frigyes Riesz in 1922, currently it is the 15th oldest and still active journal in mathematics worldwide. You may agree that, although it was always a broad-in-scope journal, once it was one of the leading periodicals in the fields of functional analysis and operator theory. During its history, such outstanding mathematicians published here as (just to name a few of them in alphabetic order) T Ando, G Birkhoff, C Carathéodory, L Carleson, H Cartan, A Connes, P Erdős, L Fejér, M Fréchet, M G Krein, L Lovász, J von Neumann, H Rademacher, J Schauder, I Segal, J-P Serre, W Sierpiński, M H Stone, N Wiener, A Zygmund. I would like to inform you that on the 100th anniversary of its foundation, the journal is substantially renewed. This means several changes, the most important among them is that the Editorial Board has been extended, besides the editors in Szeged, the following scholars have joined the board: Franck Barthe, Institut de Mathématiques de Toulouse, France Libor Barto, Charles University, Prague, Czech Republic Hari Bercovici, Indiana University, Bloomington, USA Kenneth R. Davidson, University of Waterloo, Canada Robert M. Guralnick, University of Southern California, Los Angeles, USA Fumio Hiai, Tohoku University, Sendai, Japan Apoorva Khare, Indian Institute of Science, Bangalore, India Antonio M. Peralta University of Granada, Spain Gilles Pisier, Texas A&M University, College Station, USA Peter Šemrl, University of Ljubljana, Slovenia Péter Varjú, University of Cambridge, UK I would like to take this opportunity and call your attention to the renewed Acta Sci Math (Szeged) and kindly ask you to consider the journal for the publication of your quality papers. Please visit https://www.springer.com/journal/44146 Many thanks for your valuable contributions in advance! Lajos Molnár Editor-in-Chief

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Banach spaces webinar on 12/10 (tomorrow) by Chris Gartland (TAMU)
by Sari, Bunyamin 09 Dec '21

09 Dec '21

Hello all, We have a Banach spaces webinar on Friday 12/10 9AM by Chris Gartland of Texas A&M. Please use the following zoom link (different than the usual webinar link). -------------------------------------- Join Zoom Meeting https://tamu.zoom.us/j/92668666936?pwd=R2duYmxsQ0REakpIbzRDKzB0K3hwdz09 Meeting ID: 926 6866 6936 Passcode: 519913 --------------------------- Speaker: Chris Gartland (TAMU) Title: Non-embeddability of Carnot groups into $L^1$. Abstract: Motivated by the Goemans-Linial conjecture on the Sparsest Cut problem, Lee-Naor conjectured in 2006 that the Heisenberg group does not biLipschitz embed into $L^1$, and this was proven true by Cheeger-Kleiner in the same year. The Heisenberg group is the simplest example of a nonabelian Carnot group, and Cheeger-Kleiner noted that their non-embeddability proof should hold for any Carnot group $G$ satisfying the following regularity property: For every subset $E \subset G$ with finite perimeter, ``generic" metric-tangent spaces of $E$ at points in $\partial E$ are vertical half-spaces. It was expected that this property should hold for every nonabelian Carnot group, but at present, the problem remains open. The most significant achievement towards a solution is due to Ambrosio-Kleiner-Le Donne who proved that ``generic" \emph{iterated} metric-tangent spaces are vertical-half spaces. In this talk, we'll describe how intermediate results of Ambrosio-Kleiner-Le Donne together with an adaptation of the methods of Cheeger-Kleiner may be used to deduce the non-biLipschitz embeddability of nonabelian Carnot groups in $L^1$. Based on joint work with Sylvester Eriksson-Bique, Enrico Le Donne, Lisa Naples, and Sebastiano Nicolussi-Golo.

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Banach December 2021