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SUMMARY:Olgür Çelikbaş (West Virginia University)
DTSTART:20210407T150000Z
DTEND:20210407T160000Z
DTSTAMP:20260422T172218Z
UID:UCGEN/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCGEN/32/">O
 n torsion in tensor products of modules</a>\nby Olgür Çelikbaş (West Vi
 rginia University) as part of UCGEN - Uluslararası Cebirsel GEometri Neş
 esi\n\n\nAbstract\nTensor products are fundamental objects used in many ar
 eas including mathematics\, physics\, and engineering.\nIn 1961 Maurice Au
 slander initiated the study of torsion in tensor products of finitely gene
 rated modules in his pioneering paper\, \nModules over unramified regular 
 local rings (Illinois J. Math. 5\, 1961\, 631-647). Subsequently\, in 1994
 \, Craig Huneke and Roger Wiegand \nextended and studied Auslander’s res
 ults over hypersurface rings in their influential paper\, Tensor products 
 of modules and the rigidity of Tor \n(Math. Ann. 299\, 1994\, no. 3\, 449
 –476).\n\nIn this talk I will discuss some of the results of Auslander\,
  and Huneke and Wiegand\, concerning the existence of torsion in tensor pr
 oducts\nof finitely generated modules over commutative Noetherian local ri
 ngs. I also plan to talk about my work on the reflexivity of tensor produc
 ts\, \nwhich was motivated by the second rigidity theorem of Huneke and Wi
 egand.\n
LOCATION:https://researchseminars.org/talk/UCGEN/32/
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