<html><body><div style="font-family: arial,helvetica,sans-serif; font-size: 12pt; color: #000000"><div><br></div><div data-marker="__QUOTED_TEXT__"><div class="WordSection1"><p class="MsoNormal"> </p><p class="MsoNormal" style="text-align: center;" data-mce-style="text-align: center;" align="center"><img src="cid:image003.jpg@01D1B2A6.38533EF0" alt="shieldor" data-mce-src="cid:image003.jpg@01D1B2A6.38533EF0" align="left" height="119" hspace="12" width="129"><b><span style="font-size: 22.0pt; font-family: NewCenturySchlbk;" data-mce-style="font-size: 22.0pt; font-family: NewCenturySchlbk;">DEPARTMENT OF </span></b></p><p class="MsoNormal" style="text-align: center;" data-mce-style="text-align: center;" align="center"><b><span style="font-size: 22.0pt; font-family: NewCenturySchlbk;" data-mce-style="font-size: 22.0pt; font-family: NewCenturySchlbk;">ELECTRICAL ENGINEERING SEMINAR SERIES </span></b><span style="font-size: 12.0pt; font-family: 'Times New Roman','serif';" data-mce-style="font-size: 12.0pt; font-family: 'Times New Roman','serif';"></span></p><p class="MsoNormal" style="margin-left: .5in; text-autospace: none;" data-mce-style="margin-left: .5in; text-autospace: none;"><b><span style="font-family: NewCenturySchlbk;" data-mce-style="font-family: NewCenturySchlbk;"> </span></b></p><p class="MsoNormal" style="margin-left: .5in; text-autospace: none;" data-mce-style="margin-left: .5in; text-autospace: none;"><b><span style="font-family: NewCenturySchlbk;" data-mce-style="font-family: NewCenturySchlbk;"> </span></b></p><p class="MsoNormal" style="text-indent: .5in; text-autospace: none;" data-mce-style="text-indent: .5in; text-autospace: none;"><b><span style="font-family: 'Georgia','serif';" data-mce-style="font-family: 'Georgia','serif';"> </span></b></p><p class="MsoNormal" style="text-indent: .5in; text-autospace: none;" data-mce-style="text-indent: .5in; text-autospace: none;"><b><span style="font-family: 'Georgia','serif';" data-mce-style="font-family: 'Georgia','serif';">Speaker: Dr. Arya Mazumdar</span></b></p><p class="MsoNormal" style="text-autospace: none;" data-mce-style="text-autospace: none;"><span style="font-family: 'Georgia','serif';" data-mce-style="font-family: 'Georgia','serif';"> University of Massachusetts at Amherst</span></p><p class="MsoNormal" style="margin-left: 1.5in; text-indent: -1.0in; text-autospace: none;" data-mce-style="margin-left: 1.5in; text-indent: -1.0in; text-autospace: none;"><b><span style="font-family: 'Georgia','serif';" data-mce-style="font-family: 'Georgia','serif';">Title: Locally Repairable Codes </span></b><b><i><span style="font-size: 11.5pt; font-family: 'Georgia','serif';" data-mce-style="font-size: 11.5pt; font-family: 'Georgia','serif';"></span></i></b></p><p class="MsoNormal" style="text-indent: .5in;" data-mce-style="text-indent: .5in;"><b><span style="font-family: 'Georgia','serif';" data-mce-style="font-family: 'Georgia','serif';">Date: Wednesday, May 25, 2016</span></b><b><span style="font-size: 12.0pt; font-family: 'Georgia','serif';" data-mce-style="font-size: 12.0pt; font-family: 'Georgia','serif';"></span></b></p><p class="MsoNormal" style="text-indent: .5in;" data-mce-style="text-indent: .5in;"><b><span style="font-family: 'Georgia','serif';" data-mce-style="font-family: 'Georgia','serif';">Time: </span></b><span style="font-family: 'Georgia','serif';" data-mce-style="font-family: 'Georgia','serif';">3:30pm<b> </b></span></p><p class="MsoNormal" style="text-indent: .5in;" data-mce-style="text-indent: .5in;"><b><span style="font-family: 'Georgia','serif';" data-mce-style="font-family: 'Georgia','serif';">Room: </span></b><span style="font-family: 'Georgia','serif';" data-mce-style="font-family: 'Georgia','serif';">E-Quad, B205</span></p><p class="MsoNormal" style="text-indent: .5in;" data-mce-style="text-indent: .5in;"><b><span style="font-family: 'Georgia','serif';" data-mce-style="font-family: 'Georgia','serif';">Host: Prof. Emmanuel Abbe</span></b><b><span style="font-family: NewCenturySchlbk;" data-mce-style="font-family: NewCenturySchlbk;"></span></b></p><p class="MsoPlainText"><b><span style="font-size: 11.5pt; font-family: 'Georgia','serif';" data-mce-style="font-size: 11.5pt; font-family: 'Georgia','serif';"> </span></b></p><p class="MsoPlainText"><b><span style="font-size: 11.0pt; font-family: 'Georgia','serif';" data-mce-style="font-size: 11.0pt; font-family: 'Georgia','serif';">Abstract: </span></b><span style="font-family: 'Georgia','serif';" data-mce-style="font-family: 'Georgia','serif';">Due to applications in large-scale distributed storage systems, local repair properties of codes have recently earned a lot of attention. In the first part of the talk, we show that generalized locality properties of codes lead to the notion of a graph capacity that is fundamental in the study of network flow problems. This amazingly reveal a new connection between locally repairable codes (LRC) and broadcasting with side information (index coding). </span></p><p class="MsoPlainText"><span style="font-family: 'Georgia','serif';" data-mce-style="font-family: 'Georgia','serif';"> </span></p><p class="MsoPlainText"><span style="font-family: 'Georgia','serif';" data-mce-style="font-family: 'Georgia','serif';">We further elaborate on the central challenge in this area: deriving fundamental limits on locally repairable codes over small alphabet, and construction of maximally recoverable codes. We present our very recent result on optimum rate of LRC that outperform all previous results.</span></p><p class="MsoPlainText"><span style="font-family: 'Georgia','serif';" data-mce-style="font-family: 'Georgia','serif';"> </span></p><p class="MsoPlainText"><b><span style="font-family: 'Georgia','serif';" data-mce-style="font-family: 'Georgia','serif';"> </span></b></p><p class="MsoPlainText"><b><span style="font-size: 11.0pt; font-family: 'Georgia','serif';" data-mce-style="font-size: 11.0pt; font-family: 'Georgia','serif';"> </span></b><span style="font-size: 12.0pt; font-family: 'Georgia','serif';" data-mce-style="font-size: 12.0pt; font-family: 'Georgia','serif';"> </span></p><p class="MsoNormal" style="text-align: justify; text-autospace: none;" data-mce-style="text-align: justify; text-autospace: none;"><span style="font-family: 'Georgia','serif';" data-mce-style="font-family: 'Georgia','serif';"> </span></p><p class="MsoNormal"> </p><p class="MsoNormal"> </p></div><br></div><div><a href="//www.pinterest.com/pin/create/extension/" style="height: 20px; width: 40px; position: absolute; opacity: 0.85; z-index: 8675309; display: none; cursor: pointer; border: medium none; background-color: transparent; background-image: url("data:image/png;base64,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");"></a></div></div></body></html>