<!DOCTYPE html>
<html>
<head>
<title>Cohomology in algebra, geometry, physics and statistics</title>
</head>
<body>
<p>
Wednesday, 6 March 2024 - 13:30 to 14:30 <br />
Place: ZOOM metting
</p>
<p>
Speaker: Aliaksandr Hancharuk, Jilin University (China)<br />
Title: Koszul-Tate resolutions and trees
</p>
<p class="ql-ed">
Abstract <br />
<p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">Given a commutative algebra O, a proper ideal I, and a resolution of O/I by projective O-modules, we construct an explicit Koszul-Tate resolution. We call it the arborescent Koszul-Tate resolution since it is indexed by decorated trees. When the O-module resolution has finite length, only finitely many operations are needed to construct the arborescent Koszul-Tate resolution---this is compared with the classical Tate algorithm, which may require infinitely many such computations. Examples and applications are discussed. This is based on a joint work with Camille Laurent-Gengoux and Thomas Strobl. </span></p><p><br></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">--------------------------------------------------------------------------------------------------------------------------------------------</span></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">We shall open ZOOM at 13.15 for virtual coffee</span></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">Join Zoom Meeting</span></p><p><a href="https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09" rel="noopener noreferrer" target="_blank" style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 204);" class="ql-font-monospace">https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09</a></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">MeetingID:99598413922</span></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">Passcode:Galois</span></p><p class="ql-align-justify"><br></p><p><br></p><p><br></p>
</p>
<p>
For more information see the seminar web page at <br />
https://www.math.cas.cz/index.php/events/seminar/16
</p>
<p>
Cohomology in algebra, geometry, physics and statistics mailing list <br />
phk_seminar@math.cas.cz <br />
https://list.math.cas.cz/listinfo/phk_seminar@math.cas.cz
</p>
</body>
</html>