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SUMMARY:Base-two permutation groups and applications - Tim Burness (Univer
 sity of Bristol)
DTSTART:20220729T104000Z
DTEND:20220729T113000Z
UID:TALK176594@talks.cam.ac.uk
DESCRIPTION:Let G be a primitive permutation group on a finite set X and r
 ecall that a subset of X is a base for G if its pointwise stabiliser is tr
 ivial. The base size of G\, denoted b(G)\, is defined to be the minimal si
 ze of a base. This natural invariant has been intensively studied for many
  years\, finding a wide range of applications. In this talk I will report 
 on recent progress concerning a project initiated by Jan Saxl in the 1990s
 \, which seeks to determine all the primitive groups with b(G) = 2. I will
  also outline some of the main applications and I will highlight one or tw
 o related problems.
LOCATION:Seminar Room 1\, Newton Institute
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