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SUMMARY:Vertex algebras\, factorization algebras and applications
DTSTART;VALUE=DATE-TIME:20180716T230000Z
DTEND;VALUE=DATE-TIME:20180721T094500Z
DTSTAMP;VALUE=DATE-TIME:20210419T070601Z
UID:indico-event-161@indico.ipmu.jp
DESCRIPTION:Vertex algebras\, factorization algebras and applications\n\nD
ates: July 17-July 21\, 2018\n\nVenue: Lecture Hall\, Kavli IPMU\n\n\n\n\n
Vertex algebras are fundamental algebraic structures underlying conformal
field theories in two dimensions. With the impetus given by the AGT conjec
ture\, the recent couple of years have seen intense activity relating fiel
d theories in 2 and 4 dimensions. In particular\, there emerged deep relat
ions between vertex algebras and the geometry of smooth 4-dimensional mani
folds. For example\, classical constructions related to vertex algebras (s
uch as coset models) obtained a new meaning from the 4-dimensional topolog
y point of view (plumbing\, Kirby moves etc.). \n\nAt the same time\, vert
ex algebras are particular cases of factorization algebras\, a concept tha
t makes sense in any number of dimensions and provides a mathematical desc
riptions of quantum field theories.. Factorization structures and factoriz
ation homology also serve as a mathematical language for a local-to-global
“integration” formalism in pure mathematics (Non-abelian Poincar ́e
duality\, recent work of Gaitsgory-Lurie on geometrization of the Weil con
jectures for Tamagawa numbers and others). They have also been crucial t
ools in representation theory of affile Lie algebras and quantum groups.
\n\n The emerging relation of factorization structures in various dimens
ions is an extremely promising area of development\, of importance both in
mathematics and physics. The conference aims to bring together experts in
these related areas as well as younger researchers from Japan and oversea
s. \n\n \n\n\n\n\nInvited Speakers:\n\nAlexander Braverman (Univ. of Toro
nto\, Canada)\n\nAndrew Linshaw (Denver Univ. USA)\n\nBenjamin Hennion (Un
iv. of Paris-Sud\, France)\n\nBoris Feigin (Higher School of Economics\, M
oscow / Kyoto Univ.\, Japan) \n\nDavid Yang (Harvard Univ.\, USA) \n\n
Dennis Gaitsgory (Harvard Univ.\, USA)\n\nEmily Cliff (Univ. of Illinois a
t Urbana-Champaign\, USA)\n\nEric Vasserot (Univ. of Paris Diderot\, Franc
e)\n\nJohn Francis (Northwestern Univ.\, USA)\n\nKazuya Kawasetsu（Univ.
of Melbourne\, Australia)\n\nLin Chen (Harvard Univ.\, USA)\n\nQuoc Ho (In
stitute of Science and Technology\, Austria)\n\nSam Raskin (Univ. of Texas
at Austin\, USA)\n\nSergei Gukov (Caltech U.\, USA)\n\nTakahiro Nishinaka
(Ritsumeikan Univ.\, Japan) \n\nThomas Creutzig (Univ. of Alberta\, Canad
a/ Kyoto Univ.)\n\nTomoyuki Arakawa(RIMS Kyoto Univ.\, Japan)\n\nToshiro K
uwabara (Tsukuba Univ.\, Japan)\n\nVadim Schechtman (Univ. of Toulouse\, F
rance)\n\nYakov Kremnitzer (Univ. of Oxford\, England)\n\nYifei Zhao (Harv
ard Univ.\, USA)\n\n \n\n \n\nOrganizers:\n\nB. Feigin (HSE Moscow / Kyo
to University)\,\nM. Kapranov (Kavli IPMU)\,\nH. Nakajima (RIMS Kyoto Univ
ersity and Kavli IPMU)\n\n \n\nContact : seminar@ipmu.jp\nKavli Institute
for the Physics and Mathematics of the Universe (Kavli IPMU)\, the Univer
sity of Tokyo\, 5-1-5 Kashiwanoha\, Kashiwa City\, Chiba 277-8583\, Japan\
n\n\n\n\n\n\nhttps://indico.ipmu.jp/indico/event/161/
LOCATION:Lecture Hall(1F)\, Kavli IPMU
URL:https://indico.ipmu.jp/indico/event/161/
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