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SUMMARY:Some problems in the theory of simple groups
DTSTART:20160912T080000
DTEND:20160916T170000
DTSTAMP:20260510T053619Z
UID:b1d7902c12436e47dafb8925d61ab9fe4784a26f3ad7703a7c651894
CATEGORIES:Conferences - Seminars
DESCRIPTION:Organisers\nKessar Radha (City University London)\nMalle Gunte
 r (TU Kaiserslautern)\nTesterman Donna (EPFL)\nThis workshop will consist 
 of three lecture series of 5 hours each.Tim Burness\, Bristol UniversitySi
 mple groups\, fixed point ratios and applications\nIn the first part of th
 e series\, we describe the main results on fixed point ratios including so
 me classical estimates\, plus more recent work for groups of Lie type. For
  the classical groups\, this will include a discussion of subgroup structu
 re\, conjugacy classes and also some representation theory.\nWe also menti
 on analogues (and recent work) at the level of algebraic groups.\nIn the s
 econd half\, we concentrate on applications of the work described in Part 
 I\, e.g. to generation and random generation problems for simple groups\, 
 with connections to spread and generating graphs\, to problems in permutat
 ion group theory such as base sizes\, to random walks on groups\, and mono
 dromy groups.Martin Liebeck\, Imperial College LondonApplications of chara
 cter theory\nWe will describe some applications of the character theory of
  finite groups of Lie type to the following topics: width  questions\, wo
 rd maps\, mixing times of random walks\, and representation varieties.Eamo
 nn O'Brien\, University of AucklandAlgorithms for linear groups\nThe devel
 opment of high-quality algorithms to investigate the structure of a linear
  group is a highly active area of research. Natural questions include:\n* 
 How do we compute the order of a given matrix?\n* How do we decide if a li
 near group acts reducibly on its underlying vector space?\n* How do we com
 pute conjugacy classes of elements and characters of the group?\nWe will c
 onsider these and related topics and describe the algorithms used to answe
 r such questions.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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