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SUMMARY:Wild and tame behaviour in group theory  - Henry Wilton (DPMMS\, C
 ambridge)
DTSTART:20141117T170000Z
DTEND:20141117T180000Z
UID:TALK55898@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:Two parallel stories in the study of (infinite\, discrete) gro
 ups unfolded in the 20th century.  On the one hand\, clever combinatorial 
 techniques made it possible to encode Turing’s halting problem into grou
 p presentations\; the upshot is that\, in the worst case\, groups can exhi
 bit very wild behaviour.  On the other hand\, an influx of geometric techn
 iques showed that a *generic* group is quite tame.  In this talk\, I’ll 
 attempt to tell this story\, and describe some of my own contributions. \n
 \nThis talk will be followed by a wine reception in Pav. E Common Room (ve
 nue for reception TBC)
LOCATION:MR3\, Centre for Mathematical Sciences
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