<div style="max-width:40em;text-align:justify;">
<h2 style="font-size:1.2em;">Seminario de Álgebra del IMERL</h2>
<h3 style="font-size:1em;">Título: <em>The Braid group action on exceptional sequences for weighted projective lines</em></h3>
<h3 style="font-size:1em;">Expositor: Eduardo Marcos <span style="font-weight:400;">(IME - Universidade de São Paulo)</span></h3>
<div style="font-size:1em!important;"><p><b>Resumen: </b><span>We give a new and intrinsic proof of the transitivity of the braid group action on the set of full exceptional sequences of coherent sheaves on a weighted projective line. We do not use here the corresponding result of Crawley-Boevey for modules over hereditary algebras. As an application we prove that the strongest global dimension of the category of coherent sheaves on a weighted projective line X does not depend on the parameters of X. Finally we prove that the determinant of the matrix obtained by taking the values of n Z-linear functions defined on the Grothendieck group </span><i>K<sub>0</sub>(X)</i><span> ≃ </span><i>Z<sup>n</sup></i><span> of the elements of a full exceptional sequence is an invariant, up to sign.</span></p></div>
<hr>
<p style="font-size:1em;"><b>Viernes 21/5 a las 11:00</b><br>
<b>A través de Zoom</b>
</p>
<p style="font-size:1em;"><b>Contacto: </b>Marco A. Pérez - <a href="mailto:mperez@fing.edu.uy">mperez@fing.edu.uy</a></p>
<hr>
<p>Información de acceso a la charla por Zoom:<br/><br/></p>
<div>Tema: Seminario de Álgebra del IMERL<br/>Hora: 21 may. 2021 11:00 a. m. Montevideo<br/><br/>Unirse a la reunión Zoom<br/><a href="https://salavirtual-udelar.zoom.us/j/83431531689?pwd=TXFEVWlYY3JrazlVOG01bk9HbW9SQT09" target="_blank" rel="noopener">https://salavirtual-udelar.zoom.us/j/83431531689?pwd=TXFEVWlYY3JrazlVOG01bk9HbW9SQT09</a><br/><br/><b>ID de reunión:</b> 834 3153 1689<br/><b>Código de acceso: </b>h5c3*Yz?T.</div><hr>
Más seminarios en: <a href="http://www.cmat.edu.uy/seminarios">http://www.cmat.edu.uy/seminarios</a>
</div>