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<title>Cohomology in algebra, geometry, physics and statistics</title>
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Wednesday, 17 April 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
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Speaker: Malkhaz Bakuradze, Iv. Javakhishvili Tbilisi State University, Georgia<br />
Title: Morava K-theory rings of p-groups in transferred Chern characteristic chasses II
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Abstract <br />
<p><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">This talk provides the explicit calculations by the author and his co-authors on the Honda formal group law and Morava K-theory of finite groups. Much attention is paid to the multiplicative structure and presentation of the generators in terms of Chern classes and their transfers. This is motivated by the still open question whether the mod -2 Morava K-theory of any finite group is evenly generated by the Chen classes and their transfers. This conjecture by Hopkins-Kuhn-Ravenel was rejected by a counterexample for p>2 case.</span></p><p><br></p><p>In the first lecture we present some points characteristic of Morava's K-theory and formal properties of the transfer map. </p><p>In the second lecture we will look in detail at some specific examples.</p><p class="ql-align-justify"><span style="color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);">-----------------------------------------------------------------------------------------------------------------------</span></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">We shall open the lecture room and ZOOM at 13.15 for coffee</span></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">Join Zoom Meeting</span></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);" class="ql-font-monospace">https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09</a></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">MeetingID:99598413922</span></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);" class="ql-font-monospace">Passcode:Galois</span></p><p><br></p><p><br></p><p><br></p><p><br></p>
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For more information see the seminar web page at <br />
https://www.math.cas.cz/index.php/events/seminar/16
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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
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