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Institute of Applied Data Science



"Conic simplicial complexes" with Professor Jonathan A Barmak

Image: Professor Jonathan A Barmak
Professor Jonathan A Barmak

Date: 15 April 2021   Time: 15:00 - 16:00    Add this event to your calendar 

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:

Location:  Online via Zoom
Contact:  Dr Michal Filus

Updated by: Michal Filus