[Turkmath:5485] Fwd: Bilkent Topology Seminar - Talk (Mar 14 - 13:30 UTC+3)

[yalcine at fen.bilkent.edu.tr]

Bilkent Topoloji Semineri duyurusu. İlgilenenleri bekleriz.

Ergün




> 
> Dear all,
> 
> Here is the information for our next topology seminar:
> 
> Join Zoom Meeting
> https://zoom.us/j/94366555204?pwd=cjg5K2szbXlmaGVKc0RrUjN5aEhkUT09 <https://zoom.us/j/94366555204?pwd=cjg5K2szbXlmaGVKc0RrUjN5aEhkUT09>
> 
> Meeting ID: 943 6655 5204
> Passcode: 715677
> 
> -------
> 
> Time: Mar 14, 2022 @ 13:30 UTC+3
> Speaker: Henry Adams (Colorado State University)
> 
> Title: An introduction to Vietoris-Rips complexes
> 
> Abstract: I will give an introduction to Vietoris-Rips complexes and their uses in applied and computational topology. If a dataset is sampled from some unknown underlying space (say a manifold), then as more and more samples are drawn, the Vietoris-Rips persistent homology of the dataset converges to the Vietoris-Rips persistent homology of the manifold. But little is known about Vietoris-Rips complexes of manifolds. An exception is the case of the circle: I will describe how as the scale parameter increases, the Vietoris-Rips complexes of the circle obtain the homotopy types of the circle, the 3-sphere, the 5-sphere, ..., until finally they are contractible. Much less is known about Vietoris-Rips complexes of spheres. I will also briefly explain how Vietoris-Rips complexes relate to generalizations of the Borsuk-Ulam theorem and to Gromov-Hausdorff distances between spheres.
> 
> 
> --------
> 
> To see the upcoming talks visit: https://researchseminars.org/seminar/BilTop <https://researchseminars.org/seminar/BilTop>
>  
> 
> Best,
> Cihan Okay
> 
> http://cihan.okay.bilkent.edu.tr/ <http://cihan.okay.bilkent.edu.tr/>

-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://yunus.listweb.bilkent.edu.tr/pipermail/turkmath/attachments/20220314/36e94d7c/attachment.html>