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SUMMARY:"Lie theory\, Bernoulli numbers and the Kashiwara-Vergne conjectur
 e"
DTSTART:20150309T151500
DTEND:20150309T161500
DTSTAMP:20260427T204619Z
UID:948481684c15519611ffb3c89300d0adc72812ff7f0e65b112c44ec8
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Anton ALEKSEEV - UNIGE\nBernoulli numbers were introduce
 d by Jakob Bernoulli in the beginning of the 18th century to give formulas
  for sums of powers of integers. They proved useful in many fields of Math
 ematics including Number Theory\, Analysis and Topology. One of their surp
 rizing applications is in Lie theory. Two major results\, the Kirillov cha
 racter formula and the Duflo isomorphism theorem make use of Bernoulli num
 bers.\nTo explain this unexpected link\, we turn to the Kashiwara-Vergne c
 onjecture on properties of the Campbell-Hausdorff series. This is a more c
 omplicated statement which implies the Duflo isomorphism theorem. The proo
 f of the conjecture makes use of the generating series of multiple zeta va
 lues also known as the Drinfeld associator\, and Bernoulli numbers are amo
 ng the simplest coefficients of the associator. The main property of the D
 rinfeld associator (the pentagon equation) and the proof of the Kashiwara-
 Vergne conjecture are inspired by constructions from Quantum Field Theory.
LOCATION:CIB - BI A0 448 http://plan.epfl.ch/?lang=fr&room=BI+A0+448
STATUS:CONFIRMED
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