BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ayse Borat (Bursa Technical University) DTSTART:20211220T143000Z DTEND:20211220T153000Z DTSTAMP:20260422T135929Z UID:BilTop/31 DESCRIPTION:Title: Simplicial analogues of homotopic distance\nby Ayse Borat (Bursa Techn ical University) as part of Bilkent Topology Seminar\n\nLecture held in SB -Z11.\n\nAbstract\nHomotopic distance as introduced by Macias-Virgos and M osquera-Lois in [2]\ncan be realised as a generalisation of topological co mplexity (TC) and Lusternik\nSchnirelmann category (cat). In this talk\, w e will introduce a simplicial analogue of\nhomotopic distance (in the sens e of Ortiz\, Lara\, Gonzalez and Borat as in [3]) and\nshow that it has a relation with simplicial complexity (as defined in [1]). We will\nalso tak e a glance at contiguity distance - another simplicial analogue of homotop ic\ndistance - as introduced in [2] and improved in [4].\nReferences\n\n[1 ] J. Gonzalez\, Simplicial Complexity: Piecewise Linear Motion Planning in Robotics\, New\nYork Journal of Mathematics 24 (2018)\, 279-292.\n[2] E. Macias-Virgos\, D. Mosquera-Lois\, Homotopic Distance between Maps\, Mathe matical\nProceedings of the Cambridge Philosophical Society (2021)\, 1-21. \n[3] C. Ortiz\, A. Lara\, J. Gonzalez\, A. Borat\, A randomized greedy al gorithm for piecewise linear\nmotion planning\, Mathematics\, Vol 9\, Issu e 19 (2021).\n[4] A. Borat\, M. Pamuk\, T. Vergili\, Contiguity Distance b etween Simplicial Maps\, submitted\,\n2020. ArXiv: 2012.10627.\n LOCATION:https://researchseminars.org/talk/BilTop/31/ END:VEVENT END:VCALENDAR