<!DOCTYPE html><html><head><meta http-equiv="Content-Type" content="text/html; charset=utf-8" /></head><body><div data-html-editor-font-wrapper="true" style="font-family: arial, sans-serif; font-size: 13px;"> <signature></signature><div> <div>Hola buenas tardes,<br> </div>Este <b>Lunes 12 de Diciembre a las 14h30 </b><strong>en el salón Beige</strong><b> </b>(salón de posgrado del piso 7 de la Facultad de Ingeniería) defiende su trabajo monográfico<b> <strong>Sof</strong></b><strong>ía Llavayol</strong>.<br> </div> <div>El título del trabajo es <strong>Sobre el Mapping Class Group y la hiperbolicidad del grafo de curvas en superficies de tipo finito</strong>. Sigue abajo el resumen.<div dir="auto"> <br>Están todes cordialmente invitades.<div data-smartmail="gmail_signature" dir="auto">Saludos<br>Sébastien<br><br><em><strong>Resumen.</strong></em> <span style="font-size: 13px"><span style="left: 150.92px;top: 273.062px;font-family: sans-serif;transform: scaleX(0.842618)" role="presentation" dir="ltr">Sea</span><span style="left: 178.193px;top: 273.062px;font-family: sans-serif" role="presentation" dir="ltr"> </span><span style="left: 184.253px;top: 273.062px;font-family: sans-serif" role="presentation" dir="ltr">S</span><span style="left: 195.402px;top: 273.062px;font-family: sans-serif" role="presentation" dir="ltr"> </span><span style="left: 202.512px;top: 273.062px;font-family: sans-serif;transform: scaleX(0.98629)" role="presentation" dir="ltr">una superficie conexa, compacta y orientable de gé</span><span style="left: 598.67px;top: 273.062px;font-family: sans-serif;transform: scaleX(0.913105)" role="presentation" dir="ltr">nero</span><span style="left: 641.145px;top: 273.062px;font-family: sans-serif" role="presentation" dir="ltr"> </span><span style="left: 647.208px;top: 273.062px;font-family: sans-serif" role="presentation" dir="ltr">g</span><span style="left: 656.533px;top: 273.062px;font-family: sans-serif;transform: scaleX(0.973654)" role="presentation" dir="ltr">, con</span><span style="left: 694.912px;top: 273.062px;font-family: sans-serif" role="presentation" dir="ltr"> </span><span style="left: 700.978px;top: 273.062px;font-family: sans-serif" role="presentation" dir="ltr">b</span><span style="left: 708.782px;top: 273.062px;font-family: sans-serif" role="presentation" dir="ltr"> </span><span style="left: 714.842px;top: 273.062px;font-family: sans-serif;transform: scaleX(0.939686)" role="presentation" dir="ltr">componentes de</span><span style="left: 169.373px;top: 294.647px;font-family: sans-serif;transform: scaleX(1.00011)" role="presentation" dir="ltr"> borde y</span><span style="left: 230.03px;top: 294.647px;font-family: sans-serif" role="presentation" dir="ltr"> </span><span style="left: 236.092px;top: 294.647px;font-family: sans-serif" role="presentation" dir="ltr">n</span><span style="left: 247.004px;top: 294.647px;font-family: sans-serif" role="presentation" dir="ltr"> </span><span style="left: 253.065px;top: 294.647px;font-family: sans-serif;transform: scaleX(0.987602)" role="presentation" dir="ltr">puntos removidos. El</span><span style="left: 420.743px;top: 294.647px;font-family: sans-serif" role="presentation" dir="ltr"> </span><span style="left: 426.802px;top: 294.647px;font-family: sans-serif;transform: scaleX(0.956765)" role="presentation" dir="ltr">mapping class group</span><span style="left: 587.331px;top: 294.647px;font-family: sans-serif" role="presentation" dir="ltr"> </span><span style="left: 594.545px;top: 294.647px;font-family: sans-serif;transform: scaleX(0.898608)" role="presentation" dir="ltr">de</span><span style="left: 612.727px;top: 294.647px;font-family: sans-serif" role="presentation" dir="ltr"> </span><span style="left: 618.787px;top: 294.647px;font-family: sans-serif" role="presentation" dir="ltr">S</span><span style="left: 629.936px;top: 294.647px;font-family: sans-serif" role="presentation" dir="ltr"> </span><span style="left: 637.045px;top: 294.647px;font-family: sans-serif;transform: scaleX(0.942236)" role="presentation" dir="ltr">es el grupo de clases de</span><span style="left: 162.663px;top: 316.234px;font-family: sans-serif;transform: scaleX(1.02021)" role="presentation" dir="ltr"> isotop</span></span>ía<span style="font-size: 13px"><span style="left: 210.24px;top: 316.234px;font-family: sans-serif;transform: scaleX(0.971242)" role="presentation" dir="ltr"> de homeomorfismos que fijan el</span><span style="left: 480.196px;top: 316.234px;font-family: sans-serif" role="presentation" dir="ltr"> </span><span style="left: 486.25px;top: 316.234px;font-family: sans-serif;transform: scaleX(1.03331)" role="presentation" dir="ltr">∂S</span><span style="left: 508.07px;top: 316.234px;font-family: sans-serif" role="presentation" dir="ltr"> </span><span style="left: 515.17px;top: 316.234px;font-family: sans-serif;transform: scaleX(1.01944)" role="presentation" dir="ltr">con el producto natural inducido por la</span><span style="left: 184.37px;top: 337.819px;font-family: sans-serif;transform: scaleX(1.007)" role="presentation" dir="ltr"> composici</span></span>ó<span style="font-size: 13px"><span style="left: 261.746px;top: 337.819px;font-family: sans-serif;transform: scaleX(0.993007)" role="presentation" dir="ltr">n. En esta monograf</span></span>ía<span style="font-size: 13px"><span style="left: 432.356px;top: 337.819px;font-family: sans-serif;transform: scaleX(0.967167)" role="presentation" dir="ltr"> estudiaremos propiedades del grupo y de sus</span> <span style="left: 166.985px;top: 359.405px;font-family: sans-serif;transform: scaleX(0.996823)" role="presentation" dir="ltr">elementos. En particular, veremos que es de tipo finito y act</span></span>ú<span style="font-size: 13px"><span style="left: 500.923px;top: 359.405px;font-family: sans-serif;transform: scaleX(0.99242)" role="presentation" dir="ltr">a sobre un espacio Gromov hiperb</span></span>ó<span style="font-size: 13px"><span style="left: 783.736px;top: 359.405px;font-family: sans-serif;transform: scaleX(0.975992)" role="presentation" dir="ltr">lico: el grafo de curvas.</span></span> </div> </div> </div> <signature></signature><br> </div></body></html>