BEGIN:VCALENDAR VERSION:2.0 PRODID:-//hacksw/handcal//NONSGML v1.0//EN CALSCALE:GREGORIAN BEGIN:VEVENT SUMMARY:Mathematics colloquium DTSTART:20190912 DTEND:20190912 DESCRIPTION: \; "Rings and their spectrum" Abstract Noncommutative geometry is a geometric approach to noncommutative algebra. The main motivation of noncommutative geometry is to extend various functors between spaces and functions to the noncommutative setting. \; Spaces\, which are geometric in nature\, can be related to numerical functions on them\, which in general form a commutative ring. Thus we have functors F:{spaces}->\;{commutative rings} and G:{commutative rings}->\;{spaces}\, for instance the contravariant functor Spec:{commutative rings}->\;{(spectral) topological spaces}. It is tempting to hope that one could extend the spectrum to the noncommutative setting in order to construct the “underlying set of a noncommutative space.” We will try to discuss these things in a language understandable to everybody (i.e.\, to any mathematician...) References (1) M. Reyes\, Obstructing extensions of the functor Spec to noncommutative rings\, Israel J. Math. 192 (2012)\, 667-698. (2) A. Facchini and L. Heidari Zadeh\, On a partially ordered set associated to ring morphisms\, J. Algebra 535 (2019)\, 456-479. (3) A. A. Bosi and A. Facchini\, A natural fibration for rings\, submitted for publication\, 2019. Coffee\, tea and snacks will be served from 3:45 pm in the hall near the CYCL01. LOCATION:Chemin du Cyclotron\, 2 CYCL01\, Bâtiment Marc de Hemptinne\, Louvain-la-Neuve 1348\, BE DTSTAMP:20250109 UID:677f184b22e41 END:VEVENT END:VCALENDAR