28 oct 2020 -- 10:00
Differential Geometry Seminar Torino (online)
The talks are presented using the platform Cisco Webex Meetings. The Webex link will be sent one day before the talk to all registered participants. To register, please send an e-mail to dgseminar.torino@gmail.com
Abstract.
We connect smooth isoperimetric flows of discrete planar curves with (discrete) Darboux transformations of smooth planar curves, by switching the roles of the discrete and smooth parameters involved. In doing so, we define Darboux flows that include isoperimetric flows, and also give an alternate geometric interpretation for establishing the discrete potential mKdV equation. Joint work with Joseph Cho and Tomoya Seno