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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: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 line
 ar action of the group G. One of important problems in Representation Theor
 y is the study of the category Rep(G) of such representations.\nIn 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 "geometric" o
 bject - the basic groupoid BG of the group G.\nI will explain that this mor
 e sophisticated categorical description is the more "correct" one. For exam
 ple, this new description gives a more adequate description of the category
  Rep(G) in cases when we have additional structures (algebraic groups, some
  extra symmetries and so on).\nI will show that in many cases the category 
 Rep(G) has a natural extension - the category M(G) - that has better behavi
 or.\nMy talk will partially follow my paper in arXiv:1410.0435.\n
X-ALT-DESC;FMTTYPE=text/html:<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:20260829T012815
DTSTART;TZID=America/New_York:20240611T110000
DTEND;TZID=America/New_York:20240611T120000
SEQUENCE:0
TRANSP:OPAQUE
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