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SUMMARY:Holomorphic Quantum Field Theories (Postponed)
DTSTART;VALUE=DATE-TIME:20200525T003000Z
DTEND;VALUE=DATE-TIME:20200529T080000Z
DTSTAMP;VALUE=DATE-TIME:20200604T082958Z
UID:indico-event-310@indico.ipmu.jp
DESCRIPTION:Due to the current worldwide situation with the coronavirus\,
this conference is postponed to sometime in the future. \n\n \n\nDates:
May 25-29\, 2020\n\nVenue: Lecture Hall\, Kavli IPMU\, Kashiwa\, Japan\n\n
Overview:\n\nHolomorphic quantum field theories (HQFT) are defined on comp
lex manifolds\, with all the invariants\, such as correlation functions\,
being holomorphic (i.e.\, annihilated by the ∂-derivatives). They are hi
gher-dimensional analogs of chiral conformal field theories in two real (o
ne complex) dimensions. Just as topological eld theories (where the correl
ators are annihilated by all derivatives) play a fundamental role in the t
opology of smooth manifolds\, HQFTs are of great importance in complex alg
ebraic geometry. For instance\, anomalies in such theories are related to
the Grothendieck-Riemann-Roch theorem for complex manifolds. An early exam
ple of a HQFT was the Kodaira-Spencer (KS) gravity theory of Bershadsky-Ce
cotti-Ooguri-Vafa. Other examples include the holomorphic Chern-Simons the
ory as well as various holomorphic twists of supersymmetric eld theories.
Recent years have seen remarkable developments in HQFT. New insights from
factorization algebras and derived geometry open up a purely algebraic the
ory of higher-dimensional analogs of vertex algebras and classical infinit
e-dimensional Lie algebras (such as Kac-Moody and Virasoro algebras). The
understanding of the KS gravity and of its relations with the holomorphic
Chern-Simons was greatly advanced by recent work of Costello-Li\, and more
recently has lead to a twisted holography proposal by Costello-Gaiotto.\n
\nThe conference will bring together theoretical physicists and mathematic
ians working in algebraic geometry\, derived geometry and factorization al
gebras.\n\nInvited speakers: \nMykola Dedushenko (Simons Center\, Stony B
rook)\nRichard Eager (KIAS)\nChris Elliott (UMass Amherst)\nBoris Feigin (
HSE Moscow and RIMS)\nJohn Francis (Northwestern)\nDennis Gaitsgory (Harva
rd)\nBenjamin Hennion (Paris-Orsay)\nOlaf Hohm (Berlin)\nAnton Khoroshkin
(HSE)\nSi Li (Tsinhua)\nNatalie Paquette (Caltech)\nNick Rozenblyum (Chica
go)\nIngmar Saberi (Heldelberg)\nPavel Safronov (Zurich)\nMatt Szczesny (B
oston)\nYuji Tachikawa (IPMU)\nBrian Williams (Northeastern)\nPhilsang Yoo
(Yale)\nBarton Zwiebach* (MIT)\n(*: to be confirmed)\n\nOrganizing Commit
tee Members :\n\nOwen Gwilliam (UMass)\nMikhail Kapranov (IPMU)\nMasahito
Yamazaki (IPMU)\n\nAddress:\nKavli Institute for the Physics and Mathemat
ics of the Universe (Kavli IPMU)\,\nthe University of Tokyo\, 5-1-5 Kashiw
a-no-ha\, Kashiwa City\, Chiba 277-8583\, Japan\n\n \n\n\n\n\n\n\nhttps:/
/indico.ipmu.jp/indico/event/310/
LOCATION:Kavli IPMU\, Kashiwa\, Japan Lecture Hall
URL:https://indico.ipmu.jp/indico/event/310/
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