Göm menyn

Onsdag 15 mars 2017, Håkan Hedenmalm, KTH

Talare: Håkan Hedenmalm, KTH

Titel: Bloch functions, asymptotic variance, and geometric zero packing

Tid och plats: Onsdag 15 mars 2017, Hopningspunkten, 13.15–14.15

Sammanfattning: In connection with the study of the universal integral means spectrum for quasiconformal mapping, it turns out that the main term for small exponents and small Beltrami coefficients is governed by the asymptotic variance introduced by McMullen for a dynamical situation. This follows from work of Oleg Ivrii. The fact that this universal asymptotic variance is less than 1 is shown here. This then leads to the unexpected result that the quasiconformal universal variance is not of the form assumed so far. To obtain the result, we use duality to turn  the problem into a problem of analyzing an improvement in the Cauchy-Schwarz inequality. The resulting dual problem has geometric interpretation in terms of "zero packing". In the planar case this is related with Abrikosov´s analysis of superconductivity for which he obtained the Nobel prize.


Sun Jan 15 11:04:00 CET 2017




Sidansvarig: milagros.izquierdo@liu.se
Senast uppdaterad: Mon Feb 27 11:06:59 CET 2017