BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Xin Liu (Institute of Theoretical Physics\, Faculty of Science\, B
 eijing University of Technology - China)
DTSTART:20230428T150000Z
DTEND:20230428T160000Z
DTSTAMP:20260423T022922Z
UID:GEOTOP-A/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GEOTOP-A/41/
 ">Role of topology in study of cascade evolutions of physical knot/link co
 mplex systems</a>\nby Xin Liu (Institute of Theoretical Physics\, Faculty 
 of Science\, Beijing University of Technology - China) as part of GEOTOP-A
  seminar\n\n\nAbstract\nRecent laboratory and numerical experiments in cla
 ssical and quantum fluids and in recombinant DNA plasmids show that physic
 al knots/links are highly unstable\, decaying from a high-topological comp
 lexity state to a low-complexity state through a series of reconnection ev
 ents. A possible theoretical picture for this phenomenon is that hierarchy
  of topological complexity is\nclosely related to spectrum of energy or ot
 her dynamical properties. For this study the following\nprogress would be 
 reviewed: (i) ropelengths/crossing numbers of prime knots and links versus
  the\ngroundstate energy spectrum\; (ii) adapted HOMFLYPT polynomial value
 s used to quantify\ncomplexity of torus knots and links\; (iii) complexity
  degree of a knot defined in a Legendre\npolynomial basis in a suitably de
 fined knot polynomial space. Some relevant undergoing\nnumerical simulatio
 n work is introduced as well. Our emphasis will be placed on the role that
 \ntopologically non-conservative transitions play in the evolution of a kn
 ot complex system\, in the\nhope of finding a scalar topological invariant
  to manage energy or other spectrums.\n
LOCATION:https://researchseminars.org/talk/GEOTOP-A/41/
END:VEVENT
END:VCALENDAR