### Mathematical Colloquium - Stability theorems for mappings of integrable dilatation

00:00 10-11-2010
&amp;lt;p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"&amp;gt;&amp;lt;span style="FONT-FAMILY: &amp;amp;#39;Arial&amp;amp;#39;, &amp;amp;#39;sans-serif&amp;amp;#39;; FONT-SIZE: 14px"&amp;gt;&amp;lt;font face="Arial, Helvetica, sans-serif"&amp;gt;Abstract:&amp;amp;nbsp;&amp;amp;nbsp;&amp;lt;/font&amp;gt;&amp;lt;/span&amp;gt;&amp;lt;/p&amp;gt; &amp;lt;p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"&amp;gt;&amp;lt;span style="FONT-FAMILY: &amp;amp;#39;Arial&amp;amp;#39;, &amp;amp;#39;sans-serif&amp;amp;#39;; FONT-SIZE: 14px"&amp;gt;&amp;lt;font face="Arial, Helvetica, sans-serif"&amp;gt;&amp;lt;/font&amp;gt;&amp;lt;/span&amp;gt;&amp;amp;nbsp;&amp;lt;/p&amp;gt; &amp;lt;p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"&amp;gt;&amp;lt;span style="FONT-FAMILY: &amp;amp;#39;Arial&amp;amp;#39;, &amp;amp;#39;sans-serif&amp;amp;#39;; FONT-SIZE: 14px"&amp;gt;&amp;lt;font face="Arial, Helvetica, sans-serif"&amp;gt;Quasiconformal mappings in two and higher dimensions and their recent generalizations&amp;lt;/font&amp;gt;&amp;lt;/span&amp;gt;&amp;lt;/p&amp;gt; &amp;lt;p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"&amp;gt;&amp;lt;span style="FONT-FAMILY: &amp;amp;#39;Arial&amp;amp;#39;, &amp;amp;#39;sans-serif&amp;amp;#39;; FONT-SIZE: 14px"&amp;gt;&amp;lt;font face="Arial, Helvetica, sans-serif"&amp;gt;such as mappings with integrable dilatation have found important applications in various fields &amp;lt;/font&amp;gt;&amp;lt;/span&amp;gt;&amp;lt;/p&amp;gt; &amp;lt;p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"&amp;gt;&amp;lt;span style="FONT-FAMILY: &amp;amp;#39;Arial&amp;amp;#39;, &amp;amp;#39;sans-serif&amp;amp;#39;; FONT-SIZE: 14px"&amp;gt;&amp;lt;font face="Arial, Helvetica, sans-serif"&amp;gt;of Mathematics, Mechanics, Physics and others. We present&amp;lt;/font&amp;gt;&amp;lt;/span&amp;gt;&amp;lt;/p&amp;gt; &amp;lt;p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"&amp;gt;&amp;lt;span style="FONT-FAMILY: &amp;amp;#39;Arial&amp;amp;#39;, &amp;amp;#39;sans-serif&amp;amp;#39;; FONT-SIZE: 14px"&amp;gt;&amp;lt;font face="Arial, Helvetica, sans-serif"&amp;gt;stability results concerning conformality and/or weak conformality of such&amp;lt;/font&amp;gt;&amp;lt;/span&amp;gt;&amp;lt;/p&amp;gt; &amp;lt;p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"&amp;gt;&amp;lt;span style="FONT-FAMILY: &amp;amp;#39;Arial&amp;amp;#39;, &amp;amp;#39;sans-serif&amp;amp;#39;; FONT-SIZE: 14px"&amp;gt;&amp;lt;font face="Arial, Helvetica, sans-serif"&amp;gt;mappings in the plane and in higher dimensions. Such results can be utilized in the&amp;lt;/font&amp;gt;&amp;lt;/span&amp;gt;&amp;lt;/p&amp;gt; &amp;lt;p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"&amp;gt;&amp;lt;span style="FONT-FAMILY: &amp;amp;#39;Arial&amp;amp;#39;, &amp;amp;#39;sans-serif&amp;amp;#39;; FONT-SIZE: 14px"&amp;gt;&amp;lt;font face="Arial, Helvetica, sans-serif"&amp;gt;study of local properties in Dynamics and nonlinear Elasticity Theory.&amp;lt;/font&amp;gt;&amp;lt;/span&amp;gt;&amp;lt;/p&amp;gt; &amp;lt;p style="TEXT-ALIGN: left; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" class="MsoNormal"&amp;gt;&amp;lt;span style="FONT-FAMILY: &amp;amp;#39;Arial&amp;amp;#39;, &amp;amp;#39;sans-serif&amp;amp;#39;; FONT-SIZE: 14px"&amp;gt;&amp;amp;nbsp;&amp;lt;/span&amp;gt;&amp;lt;/p&amp;gt;