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UID:2b69977a932407b0a9f3927e7cc14382
CATEGORIES:Lie Group Quantum Mathematics Seminar
CREATED:20240520T214457
SUMMARY:Groups, Groupoids, Stacks and Representation Theory 
LOCATION:Hill 705
DESCRIPTION:<p>Let G be a group and k some field. A representation of the group G over
  the field k is usually defined as a vector space V over k equipped with a
  linear action of the group G. One of important problems in Representation 
 Theory is the study of the category Rep(G) of such representations.</p><p>I
 n my talk I will explain that there is another natural way to describe this
  category, namely, it can be described as a category of sheaves on some "ge
 ometric" object - the basic groupoid BG of the group G.</p><p>I will explai
 n that this more sophisticated categorical description is the more "correct
 " one. For example, this new description gives a more adequate description 
 of the category Rep(G) in cases when we have additional structures (algebra
 ic groups, some extra symmetries and so on).</p><p>I will show that in many
  cases the category Rep(G) has a natural extension - the category M(G) - th
 at has better behavior.</p><p>My talk will partially follow my paper in arX
 iv:1410.0435.</p>
CONTACT:Joseph Bernstein, Tel Aviv University 
DTSTAMP:20260827T103137
DTSTART;TZID=America/New_York:20240611T110000
DTEND;TZID=America/New_York:20240611T120000
SEQUENCE:0
TRANSP:OPAQUE
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