BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Noncommutative Tensor            Triangular Geometry and Applicati
 ons
DTSTART:20210505T150000
DTEND:20210505T160000
DTSTAMP:20260407T105429Z
UID:763798dedead4f6b2691754f1f3f50b4f6c4615bd854c9a029926692
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dan Nakano\, Georgia\nIn this talk\, I will show how to develo
 p a general noncommutative version of Balmer's tensor triangular geometry 
 that is applicable to arbitrary monoidal triangulated categories (M$\\Delt
 a$C). Insights from noncommutative ring theory are used to obtain a framew
 ork for prime\, semiprime\, and completely prime (thick) ideals of an M$\\
 Delta$C\, $\\mathbf K$\, and then to associate to $\\mathbf K$ a topologic
 al space--the Balmer spectrum $\\Spc {\\mathbf K}$. \n\nWe develop a gene
 ral framework for (noncommutative) support data\, coming in three differen
 t flavors\, and show that $\\Spc \\bK$ is a universal terminal object for 
 the first two notions (support and weak support). The first two types of s
 upport data are then used in a theorem that gives a method for the explici
 t classification of the thick (two-sided) ideals and the Balmer spectrum o
 f an M$\\Delta$C.\nThe third type (quasi support) is used in another theor
 em that provides a method for the explicit classification of the thick ri
 ght ideals of $\\mathbf K$\, which in turn can be applied to classify the
  thick two-sided ideals and $\\Spc {\\mathbf K}$. \n\nApplications will 
 be given for quantum groups and non-cocommutative finite-dimensional Hopf 
 algebras studied by Benson and Witherspoon. \n\nThis work represents resu
 lts with Brian Boe and Jonathan Kujawa\, and with Milen Yakimov and Kent V
 ashaw]. \n\nMeeting-ID: 868 9560 8815\nPassword: 348162
LOCATION:https://epfl.zoom.us/s/86895608815
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR