Barcelona Algebraic Topology Group http://158.109.61.247/topalg/index.php 2023-02-07T07:50:02Z Joomla! 1.5 - Open Source Content Management 2021-09-21T17:35:26Z 2021-09-21T17:35:26Z http://158.109.61.247/topalg/index.php?option=com_content&view=article&id=93:semtop2021-22&catid=3:seminars&Itemid=6 Natàlia Castellana Vila natalia@mat.uab.cat

<div class="jfdefaulttext">There are no translations available.</div><br/><div><strong>Speaker: </strong>Luca Pol (University of Regensburg)<strong><br />Title: </strong><span id="tabEventDetails" class="HALYaf XQINac R21Rlc KKjvXb">The universal property of bispans</span><strong><br />Place:</strong> Room Seminar C3b<strong> </strong>(C3b/158)<strong><br />Date:</strong> Thursday Seotember 23rd, 9:30 <strong><br /></strong></div> <p class="contentpane"><strong>Abstract:</strong> Many algebraic definitions and constructions can be made in a derived or homotopy invariant setting and as such make sense for ring spectra. Dwyer-Greenlees-Iyengar (followed by Barthel-Heard-Valenzuela) showed that one can make sense of local Gorenstein duality for ring spectra. In this talk, I will show that cochain spectra C*(BG;R) satisfy local Gorenstein duality surprisingly often, and explain some of the implications of this. When R=k is a field this recovers duality properties in modular representation theory conjectured by Benson and later proved by Benson-Greenlees. However, the result also applies to more exotic coefficients R such as Lubin-Tate theories, K-theory spectra or topological modular forms, showing that chromatic analogues of Benson’s conjecture also hold. This is joint work with Jordan Williamson.</p> <p><span class="contentpane"> </span></p> <div> <div>See the calendar for upcoming events.</div> </div>

<div class="jfdefaulttext">There are no translations available.</div><br/><div><strong>Speaker: </strong>Luca Pol (University of Regensburg)<strong><br />Title: </strong><span id="tabEventDetails" class="HALYaf XQINac R21Rlc KKjvXb">The universal property of bispans</span><strong><br />Place:</strong> Room Seminar C3b<strong> </strong>(C3b/158)<strong><br />Date:</strong> Thursday Seotember 23rd, 9:30 <strong><br /></strong></div> <p class="contentpane"><strong>Abstract:</strong> Many algebraic definitions and constructions can be made in a derived or homotopy invariant setting and as such make sense for ring spectra. Dwyer-Greenlees-Iyengar (followed by Barthel-Heard-Valenzuela) showed that one can make sense of local Gorenstein duality for ring spectra. In this talk, I will show that cochain spectra C*(BG;R) satisfy local Gorenstein duality surprisingly often, and explain some of the implications of this. When R=k is a field this recovers duality properties in modular representation theory conjectured by Benson and later proved by Benson-Greenlees. However, the result also applies to more exotic coefficients R such as Lubin-Tate theories, K-theory spectra or topological modular forms, showing that chromatic analogues of Benson’s conjecture also hold. This is joint work with Jordan Williamson.</p> <p><span class="contentpane"> </span></p> <div> <div>See the calendar for upcoming events.</div> </div> 2009-09-30T16:56:36Z 2009-09-30T16:56:36Z http://158.109.61.247/topalg/index.php?option=com_content&view=article&id=1:presentation Administrator albert@mat.uab.cat

<div class="jfdefaulttext">There are no translations available.</div><br/><h3>This is the web site of the Algebraic Topology Team in Barcelona (<em><span style="text-decoration: underline;"><strong>Grup de Topologia Algebraica de Barcelona, 2014SGR-42 </strong></span><strong>and</strong> <span style="text-decoration: underline;">Homotopy theory of algebraic structures, MTM2016-80439-P</span></em>).</h3> <h3>Our research interests include a variety of subjects in algebraic topology, group theory, homological algebra, and category theory. Here you will find information about us and our common activities.</h3>

<div class="jfdefaulttext">There are no translations available.</div><br/><h3>This is the web site of the Algebraic Topology Team in Barcelona (<em><span style="text-decoration: underline;"><strong>Grup de Topologia Algebraica de Barcelona, 2014SGR-42 </strong></span><strong>and</strong> <span style="text-decoration: underline;">Homotopy theory of algebraic structures, MTM2016-80439-P</span></em>).</h3> <h3>Our research interests include a variety of subjects in algebraic topology, group theory, homological algebra, and category theory. Here you will find information about us and our common activities.</h3>