The University of Arizona
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Discrete integrability, TCD maps and the pentagram map

Hamiltonian Systems

Discrete integrability, TCD maps and the pentagram map
Series: Hamiltonian Systems
Location: ONLINE
Presenter: Niklas Affolter, Technische Universit├Ąt Berlin

I will give an introduction to discrete integrability in the sense of multi-dimensional consistency along with examples from discrete differential geometry. Then we introduce discrete projective maps associated to triple crossing diagrams (joint work with Glick, Pylyavskyy, Ramassamy) and show that they feature discrete integrability as well. Moreover, one can naturally find Poisson algebras associated to every TCD map. We will recover the pentagram map as a special case of a doubly periodic TCD map.

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

Passcode: 448487