Seminar talk, 6 December 2023

From Geometry of Differential Equations
Revision as of 20:35, 1 November 2023 by Verbovet (talk | contribs) (Created page with "{{Talk | speaker = Sergey Agafonov | title = Hexagonal circular 3-webs with polar curves of degree three | abstract = Lie sphere geometry describes circles on the unit sphere by polar points of these circles. Therefore a one parameter family of circles corresponds to a curve and a 3-web of circles, i.e. 3 foliations by circles, is fixed by 3 curves. We call the union of these curves the polar curve and show how analysis of the singular set of hexagonal 3-webs helps to cl...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

Speaker: Sergey Agafonov

Title: Hexagonal circular 3-webs with polar curves of degree three

Abstract:
Lie sphere geometry describes circles on the unit sphere by polar points of these circles. Therefore a one parameter family of circles corresponds to a curve and a 3-web of circles, i.e. 3 foliations by circles, is fixed by 3 curves. We call the union of these curves the polar curve and show how analysis of the singular set of hexagonal 3-webs helps to classify circular hexagonal 3-webs with polar curves of degree 3. Many of the found webs are new. The presented results mark the progress in the Blaschke-Bol problem posed almost one hundred years ago. More detail in arXiv:2306.11707.

References:
arXiv:2306.11707

Retrieved from "https://gdeq.org/index.php?title=Seminar_talk,_6_December_2023&oldid=7114"