Hamiltonian Systems

Event Information Continuous limits of generalized pentagram maps
14:00 on Tuesday November 10, 2020
15:30 on Tuesday November 10, 2020
Virtual
Danny Nackan

University of Toronto and Yale University

Since its introduction by R. Schwartz, the pentagram map on plane polygons has seen numerous generalizations involving intersections in higher dimensions. In order to broadly study the continuous limits of such maps, we consider the general setting of curve evolutions defined by intersecting subspaces through specified points. In particular, this approach allows us to rigorously analyze the limit of the short-diagonal map and its Lax form by means of quantum calculus. We calculate the continuous limit of the general construction, and discuss the question of realizing higher KdV-type equations through pentagram-like maps. This is a joint work with Romain Speciel.

The talk will be via Zoom at: https://utoronto.zoom.us/j/99576627828

Passcode: 448487

https://arxiv.org/abs/2010.00723