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<title>Cohomology in algebra, geometry, physics and statistics</title>
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Wednesday, 28 February 2024 - 13:30 to 14:30 <br />
Place: Institute of Mathematics of ASCR, Žitná 25, Praha 1, the blue lecture room in the rear building + ZOOM meeting
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Speaker: Alexandra Zvonareva, Institute of Mathematics of ASCR<br />
Title: Functorial approach to rank functions
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Abstract <br />
<p><span class="ql-font-monospace" style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 0);">For a skeletally small triangulated category C Chuang and Lazarev recently introduced the notion of a rank function on C. For simplicity, by a rank function on C we will mean an assignment to each object of C of a non-negative real number such that certain natural conditions hold. Such functions are closely related to functors into simple triangulated categories. On the other hand, to each skeletally small additive category C one can associate its abelianisation mod-C. I will discuss the connection between rank functions on C and translation-invariant additive functions on mod-C. This connection allows to use the machinery of additive functions on abelian categories to study rank functions on triangulated categories, to classify integer rank functions in terms of certain objects and to obtain nice decompositions. This is based on a joint work with Teresa Conde, Mikhail Gorsky, and Frederik Marks.</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"><br></p><p class="ql-align-justify"><span class="ql-font-monospace">We shall open seminar room + ZOOM at 13.15 for virtual coffee</span></p><p class="ql-align-justify"><span 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" class="ql-font-monospace" style="background-color: rgb(255, 255, 255); color: rgb(0, 0, 204);">https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09</a></p><p class="ql-align-justify"><span class="ql-font-monospace">MeetingID:99598413922</span></p><p class="ql-align-justify"><span class="ql-font-monospace">Passcode:Galois</span></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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