Due to the current worldwide situation with the coronavirus, this conference is postponed to sometime in the future.
Dates: May 25-29, 2020
Venue: Lecture Hall, Kavli IPMU, Kashiwa, Japan
Overview:
Holomorphic quantum field theories (HQFT) are defined on complex manifolds, with all the invariants, such as correlation functions, being holomorphic (i.e., annihilated by the ∂-derivatives). They are higher-dimensional analogs of chiral conformal field theories in two real (one complex) dimensions. Just as topological eld theories (where the correlators are annihilated by all derivatives) play a fundamental role in the topology of smooth manifolds, HQFTs are of great importance in complex algebraic geometry. For instance, anomalies in such theories are related to the Grothendieck-Riemann-Roch theorem for complex manifolds. An early example of a HQFT was the Kodaira-Spencer (KS) gravity theory of Bershadsky-Cecotti-Ooguri-Vafa. Other examples include the holomorphic Chern-Simons theory 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 theory of higher-dimensional analogs of vertex algebras and classical infinite-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.
The conference will bring together theoretical physicists and mathematicians working in algebraic geometry, derived geometry and factorization algebras.
Invited speakers:
Mykola Dedushenko (Simons Center, Stony Brook)
Richard Eager (KIAS)
Chris Elliott (UMass Amherst)
Boris Feigin (HSE Moscow and RIMS)
John Francis (Northwestern)
Dennis Gaitsgory (Harvard)
Benjamin Hennion (Paris-Orsay)
Olaf Hohm (Berlin)
Anton Khoroshkin (HSE)
Si Li (Tsinhua)
Natalie Paquette (Caltech)
Nick Rozenblyum (Chicago)
Ingmar Saberi (Heldelberg)
Pavel Safronov (Zurich)
Matt Szczesny (Boston)
Yuji Tachikawa (IPMU)
Brian Williams (Northeastern)
Philsang Yoo (Yale)
Barton Zwiebach* (MIT)
(*: to be confirmed)
Organizing Committee Members :
Owen Gwilliam (UMass)
Mikhail Kapranov (IPMU)
Masahito Yamazaki (IPMU)
Address:
Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU),
the University of Tokyo, 5-1-5 Kashiwa-no-ha, Kashiwa City, Chiba 277-8583, Japan
