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SUMMARY:Lower bounds for faithful linear representations of the mapping cl
 ass group
DTSTART:20260414T091500Z
DTEND:20260414T101500Z
DTSTAMP:20260411T160100Z
UID:indico-event-16418@indico.math.cnrs.fr
DESCRIPTION:Speakers: Thiago Brevidelli\n\nThe mapping class group of a su
 rface is a fundamental object in low-dimensional topology. Yet\, basic que
 stions about its linear representations remain unanswered. For example\, t
 he question of linearity remains wide open for genus g ⩾ 3 surfaces. In 
 this talk\, we will review the recent progress on the classification of lo
 w-dimensional representations of the mapping class group. We will conclude
  with a result of mine\, stating that the (pure) mapping class group of a 
 genus g ⩾ 7 surface has no faithful linear representations in dimension 
 ⩽ 4g - 4.\n\nhttps://indico.math.cnrs.fr/event/16418/
LOCATION:1R2-207
URL:https://indico.math.cnrs.fr/event/16418/
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