<div dir="ltr"><div class="gmail_default" style="font-family:arial,helvetica,sans-serif">Hola,<br></div><div class="gmail_quote"><div dir="ltr"><div style="font-family:arial,helvetica,sans-serif"><br></div><div style="font-family:arial,helvetica,sans-serif">el Profesor Alain <div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">Bruguières,</div> de la Universidad de Montpellier, estará durante el segundo semestre visitándonos.</div><div style="font-family:arial,helvetica,sans-serif"><br></div><div style="font-family:arial,helvetica,sans-serif">Va a dar un curso de posgrado de 7 semanas<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"> (</div>una clase semanal de 2 horas y una clase de consulta<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">)</div>. </div><div style="font-family:arial,helvetica,sans-serif"><br></div><div style="font-family:arial,helvetica,sans-serif"><div class="gmail_default" style="font-family:arial,helvetica,sans-serif">Sería buenísimo que muchos podamos aprovecharlo. Los interesados, please escríbanme.</div></div><div style="font-family:arial,helvetica,sans-serif"><br></div><div style="font-family:arial,helvetica,sans-serif"><div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">Fechas: d</div>esde la semana del 2 de octubre hasta la semana del 14 de noviembre.</div><div style="font-family:arial,helvetica,sans-serif"><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif">Va el programa.</div></div><div style="font-family:arial,helvetica,sans-serif"><p style="font-family:arial,sans-serif;font-size:12.8px"><b><i>Categories, monads and applications.</i></b></p><span class="gmail-m_1371200895538869542gmail-im" style="font-family:arial,sans-serif;font-size:12.8px"><i><p>1. Introduction of the basic notions about categories and functors, adjunctions, definition of monads (which are objects of an algebraic nature)<br></p><p>2. Monoidal categories, that is, categories with a tensor product (and variants with additional structures). Basic examples are the category of vector spaces with the usual tensor product, but topology provides other examples : the categories of braids, tangles, etc... <br></p><p>3. Construction of topological invariants of knots, links and tangles.<br></p></i></span><p style="font-family:arial,sans-serif;font-size:12.8px"><i>4. Hopf monads, definitions and examples<br></i></p><p style="font-family:arial,sans-serif;font-size:12.8px"><i>5. The Hopf monad of the center<br></i></p><i><span style="font-family:arial,sans-serif;font-size:12.8px">6. Hopf monads and <div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">T</div>annaka theory.</span><br style="font-family:arial,sans-serif;font-size:12.8px"><br style="font-family:arial,sans-serif;font-size:12.8px"><span style="font-family:arial,sans-serif;font-size:12.8px">7. Comparison of invariants of 3-manifolds using the Hopf monad of the center.</span><br style="font-family:arial,sans-serif;font-size:12.8px"><div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"></div></i></div><div style="font-family:arial,helvetica,sans-serif"><i style="font-family:arial,sans-serif;font-size:12.8px">The course is intended for graduate students. It consists in 21 hours over about 7 weeks (2 h. of lecture + 1 h of exercices). <div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">This</div> is a tentative description of the content (each item represents about one week).</i><i><div class="gmail_default" style="display:inline"></div></i></div><div style="font-family:arial,helvetica,sans-serif"><i><span style="font-family:arial,sans-serif;font-size:12.8px">Some chapters of the course (in particular 3, 7) will assume a basic familiarity with topology.</span></i><span class="gmail-HOEnZb"><font color="#888888"><br style="font-family:arial,sans-serif;font-size:12.8px"></font></span></div><span class="gmail-HOEnZb"><font color="#888888"><div><br></div><div><span style="font-family:arial,helvetica,sans-serif;color:rgb(34,34,34)"> </span><span style="font-family:arial,helvetica,sans-serif"></span><br></div><div><br></div></font></span></div><div dir="ltr"><span class="gmail-HOEnZb"><span style="font-family:arial,helvetica,sans-serif">Además, Alain va a <div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">realizar una serie de exposiciones </div>durante el mes de setiembre en los seminarios<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"> de álgebra</div> del CMAT y del IMERL<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"></div>. Ya les llegará <div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">la información en su momento</div>.</span><font color="#888888"><div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"></div><br></font></span></div></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><br></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif">Saludos,</div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><br></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"> Mariana</div><div><br></div>
</div>