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SUMMARY:Coalescent theory - Clement Foucart (visiting from Universite Pier
 re et Marie Curie)
DTSTART:20110421T141500Z
DTEND:20110421T151500Z
UID:TALK30199@talks.cam.ac.uk
CONTACT:Elena Yudovina
DESCRIPTION:The purpose of the talk is more modest than the title would su
 ggest. The coalescent theory is quite young with many connections within a
 nd outside mathematics. Following the origins of the theory (Kingman's wor
 k 1978-1982)\, I choose to introduce it in the framework of a stochastic p
 opulation model. We will be interested in the question of how to model a g
 enealogy. A powerful way to do it is to consider a process taking values i
 n the space of the partitions of N. At any time t\, the population is repr
 esented by a partition where each block corresponds to a family. The proce
 sses describing the evolution over time of these partitions are called exc
 hangeable coalescents. I will follow closely Berestycki's book\, ch. 1 (Re
 cent progress in coalescent theory) and Bertoin's book\, ch.4 (Random frag
 mentation and coagulation processes).
LOCATION:CMS\, MR11
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