<!DOCTYPE html>
<html>
<head>
<title>Cohomology in algebra, geometry, physics and statistics</title>
</head>
<body>
<p>
Wednesday, 29 May 2024 - 13:30 to 14:30 <br />
Place: Institute of Mathematics of ASCR, Žitná 25, Praha 1, the blue lecture room of the rear building+ ZOOM meeting
</p>
<p>
Speaker: Alexei Kovalev, Cambridge University<br />
Title: On nearly parallel G_2-manifolds
</p>
<p class="ql-ed">
Abstract <br />
<p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">A nearly parallel G_2-structure on a 7-manifold can be given by a 3-form</span></p><p>φ<span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace"> of special algebraic type satisfying a differential equation</span></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">d</span>φ<span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace"> = </span>τ<span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">* </span>φ<span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace"> for a non-zero constant </span>τ<span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">. We consider</span></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">nearly parallel G_2-structures on the Aloff--Wallach spaces and</span></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">on regular Sasaki--Einstein 7-manifolds. We give a construction and</span></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">explicit examples of associative 3-folds (a particular type of minimal</span></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">submanifolds) in these spaces.</span></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">Joint work with </span>M. Fernández, A. Fino, and V. Muñoz<span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">.</span></p><p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">--------------------------------------------------------</span></p><p class="ql-align-justify"><span class="ql-font-monospace" style="background-color: rgb(246, 246, 246); color: rgb(0, 0, 255);">We shall open the lecture room + ZOOM at 13.15 for coffee and close the</span></p><p class="ql-align-justify"><span style="color: rgb(0, 0, 255); background-color: rgb(246, 246, 246);" class="ql-font-monospace">room at 15:00</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="color: rgb(0, 0, 255); background-color: rgb(246, 246, 246);" class="ql-font-monospace">Join Zoom Meeting</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><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);">https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRU</a>9</p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="color: rgb(0, 0, 255); background-color: rgb(246, 246, 246);" class="ql-font-monospace">MeetingID:99598413922</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="color: rgb(0, 0, 255); background-color: rgb(246, 246, 246);" class="ql-font-monospace">Passcode:Galois</span></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>