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<title>Cohomology in algebra, geometry, physics and statistics</title>
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Wednesday, 10 December 2025 - 13:30 to 14:30 <br />
Place: Institute of Mathematics of ASCR, Žitná 25, Praha 1, ZOOM meeting
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Speaker: Teimuraz Pirashvili, University of Georgia<br />
Title: The category of finite sets and cohomology theories of commutative algebras
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Abstract <br />
<p>It is well-known that the category of exponential functors F → V</p><p>from the category of finite sets to the category of vector spaces is equivalent</p><p>to the category of commutative algebras. Hence functors F → V can be</p><p>considered as generalized algebras and one can ask what constructions and</p><p>notions of commutative algebras have extensions to functors F → V and if</p><p>such extension exists what for it is good? We will see that several homology</p><p>theories have such extensions and give some applications</p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(34, 34, 34);">----------------------------------------------------------</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(34, 34, 34);">We shall open ZOOM meeting at 13.15 for virtual coffee and close ZOOM at 15.00</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(34, 34, 34);">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(17, 85, 204);">https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09</a></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(34, 34, 34);">Meeting ID:99598413922</span></p><p class="ql-align-justify"><span style="background-color: rgb(255, 255, 255); color: rgb(34, 34, 34);">Passcode:Galois</span></p><p class="ql-align-justify"><br></p><p>On Wednesday December 17 Hong Van Le shall give a talk `` Probabilistic morphisms, stochastic processes, and Bayesian</p><p>supervised learning"</p><p class="ql-align-justify"><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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