University of Connecticut

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PDE and Differential Geometry Seminar
Building quasiregular mappings between sub-Riemannian manifolds
Anton Lukyanenko
George Mason University

Monday, April 29, 2019
2:30pm – 3:30pm

Storrs Campus
MONT 214

Abstract: A quasiregular (qr) mapping folds one space over, with limited distortion of topology and of relative distances. The theory of qr mappings in Euclidean spaces is rich with examples and connections complex analysis, dynamical systems, and PDEs. In the early 2000s, Heinonen and Rickman initiated a broader study of qr mappings in more general metric spaces, such as the Heisenberg group. In this talk, I will give an introduction to the field, and discuss some recent results on building and forbidding qr mappings between sub-Riemannian manifolds.

Contact:

Wang, lihan.wang@uconn.edu

PDE and Differential Geometry Seminar (primary), UConn Master Calendar

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