Supriya Ghosh

Ehrenpreis conjecture

Updated on
Share on FacebookTweet on TwitterShare on LinkedIn
Ehrenpreis conjecture

In mathematics, the Ehrenpreis conjecture of Leon Ehrenpreis states that for any K greater than 1, any two closed Riemann surfaces of genus at least two have finite-degree covers which are K-quasiconformal: that is, the covers are arbitrarily close in the Teichm├╝ller metric.

A proof was announced by Jeremy Kahn and Vladimir Markovic in January 2011, using their proof of the Surface subgroup conjecture and a newly developed "good pants homology" theory. In June 2012, Kahn and Markovic were given the Clay Research Awards for their work on these two problems by the Clay Mathematics Institute at a ceremony in Oxford.


Ehrenpreis conjecture Wikipedia

Similar Topics
14 Carrot Rabbit
Il marito in collegio
Robert M Solomon