Geometric Structures seminar - Andrei Agrachev - 15 Jan 2026 - 14:00 - Room 005

[Tommaso Rossi]

Dear All,

This is to announce the next seminar from the series "Geometric Structures".

*Date and venue*: 15 Jan 2026 - 14:00 - Room 005

*Speaker*: Andrei Agrachev (SISSA)

*Title*: Geometry of osculating curves

*Abstract*: This talk concerns the geometry of smooth plane curves. 
First we fix a space of sample curves, this can be the space of lines or 
circles, or conics, cubics, etc. Given a smooth curve, the osculating 
line is just the tangent line sliding along the curve. Other sample 
spaces provide higher order analogues of this picture. Osculating curves 
are integral curves of a canonical vector distribution on the space of 
pointed sample curves; it was described in my talk at the "Geometric 
Structures" seminar last year. In the new talk, I am going to recall the 
construction of the canonical distribution and then focus on the metric 
aspects of this story.


More information can be found here: 
https://researchseminars.org/seminar/Geometric_Structures_SISSA