"Conic simplicial complexes" with Professor Jonathan A Barmak
The Institute of Applied Data Science welcomes Professor Jonathan Barmak, Professor of Algebraic Topology at Department of Mathematics, Faculty of Physical Sciences, University of Buenos Aires.
Jonathan is also a researcher at National Scientific and Technical Research Council, CONICET, Argentina. CONICET is the main agency that fosters science and technology in Argentina. Jonathan's research interests include: topological group theory, 2-dimensional complexes, fixed point theory, finite spaces and posets, non-Hausdorff spaces.
Talk title: Conic simplicial complexes.
Abstract: A simplicial complex K is r-conic if every subcomplex of at most r vertices is contained in a cone. We will see that for every n there exists r such that r-conicity implies n-connectivity. This proves a conjecture implicitly stated by Even-Zohar, Farber and Mead involving the notion of an ample complex. Our results together imply that the probability of a random complex being n-connected tends to 1 when the number of vertices tends to infinity.
Join us at 3pm on Thursday, 15 April, via Zoom: https://turing-uk.zoom.us/j/783073281.
|Location:||Online via Zoom|
|Contact:||Dr Michal Filus|
Updated by: Michal Filus