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TZID:Europe/Vienna
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DTSTART:20230326T030000
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BEGIN:VEVENT
DTSTAMP:20230327T165058Z
UID:1679584500@ist.ac.at
DTSTART:20230323T161500
DTEND:20230323T171500
DESCRIPTION:Speaker: Shon Ngo\nhosted by Laszlo Erdös\nAbstract: The metho
d of commuting and anticommuting variables (also known as the supersymmetr
y method) proved to be useful in many different questions of the random ma
trix theory. One of the variants of the supersymmetry method relies on the
so-called superbosonization identity. This identity can be used to transf
orm complicated integrals arising from the invariant random matrix ensembl
es to much simpler integrals with fixed number of commuting and anticommut
ing variables. The advantage of this approach is that the asymptotic behav
iour of the latter integrals usually can be analyzed by standard methods (
e.g. saddle point method). The proof of the superbosonization formula uses
representation theory and Lie groups and in this talk I will outline the
main ideas of the proof. The talk is based on the paper by Littelmann\, So
mmers and Zirnbauer (https://arxiv.org/abs/0707.2929).
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA\,
ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Shon Ngo: On superbosonization identity and its applications to ran
dom matrix theory
URL:https://talks-calendar.ista.ac.at/events/4080
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