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SUMMARY: Matrix integrals\, graphs on surfaces and mapping class groups - 
 Doron Puder\, Tel Aviv
DTSTART:20181010T150000Z
DTEND:20181010T160000Z
UID:TALK107530@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:Since the 1970's\, Physicists and Mathematicians who study ran
 dom matrices in the standard models of GUE or GOE\, are aware of intriguin
 g connections between integrals of such random matrices and enumeration of
  graphs on surfaces. We establish a new aspect of this theory: for random 
 matrices sampled from the group U(n) of Unitary matrices. The group struct
 ure of these matrices allows us to go further and find surprising algebrai
 c quantities hidden in the values of these integrals. The talk will be aim
 ed at a wide audience\, and all notions will be explained. Based on joint 
 work with Michael Magee (Durham).
LOCATION:MR13
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