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
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).
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Join Zoom Meeting
https://tamu.zoom.us/j/92668666936?pwd=R2duYmxsQ0REakpIbzRDKzB0K3hwdz09
Meeting ID: 926 6866 6936
Passcode: 519913
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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.
