BEGIN:VCALENDAR
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BEGIN:VEVENT
SUMMARY:Kantaro Ohmori (Simons Center for Geometry and Physics)
DTSTART:20200515T030000Z
DTEND:20200515T040000Z
DTSTAMP:20260422T225758Z
UID:EASW/1
DESCRIPTION:Title: 1+1
d adjoint QCD and non-invertible topological lines\nby Kantaro Ohmori
(Simons Center for Geometry and Physics) as part of East Asian String Webi
nars\n\n\nAbstract\nIn ‘90s\, it is claimed that the QCD with massless a
djoint quark in 1+1-dimensions is confined\, although naively the fermions
cannot screen the Wilson line in the fundamental representation. In this
talk\, we will see that the confinement can be explained from the topologi
cal line operators live in the theory. In particular\, non-invertible topo
logical lines\, which do not correspond to a symmetry\, play a crucial rol
e. Based on a ongoing work with Zohar Komargodski\, Konstantinos Roumpedak
is and Sahand Seifnashri.\n
LOCATION:https://researchseminars.org/talk/EASW/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chang-Tse Hsieh (Kavli IPMU)
DTSTART:20200529T030000Z
DTEND:20200529T040000Z
DTSTAMP:20260422T225758Z
UID:EASW/2
DESCRIPTION:Title: Ano
maly of the electromagnetic duality of Maxwell theory\nby Chang-Tse Hs
ieh (Kavli IPMU) as part of East Asian String Webinars\n\n\nAbstract\nEver
y physicist knows that the classical electromagnetism is described by Maxw
ell's equations and that it is invariant under the electromagnetic duality
S: (E\, B) → (B\, −E). However\, the properties of the electromagneti
c duality in the quantum theory might not be as well known to physicists a
nd are in fact not very well understood in the literature. Recently\, we u
ncovered a feature of Maxwell theory in the situation where going around n
ontrivial paths in the spacetime involves the action of the duality transf
ormation\, namely that it has a quantum anomaly. We found that the anomaly
of this system in a particular formulation is 56 times that of a Weyl fer
mion. Our result reproduces\, as a special case\, the known anomaly of the
all-fermion electrodynamics — a version of the Maxwell theory where par
ticles of odd (electric or magnetic) charge are fermions — discovered in
the last few years.\n
LOCATION:https://researchseminars.org/talk/EASW/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Miranda Cheng (Univ. of Amsterdam/National Taiwan University)
DTSTART:20200612T030000Z
DTEND:20200612T040000Z
DTSTAMP:20260422T225758Z
UID:EASW/3
DESCRIPTION:Title: Qua
ntum Modularity from 3-Manifolds\nby Miranda Cheng (Univ. of Amsterdam
/National Taiwan University) as part of East Asian String Webinars\n\n\nAb
stract\nQuantum modular forms are functions on rational numbers that have
rather mysterious weak modular properties. Mock modular forms and false th
eta functions are examples of holomorphic functions on the upper-half plan
e which lead to quantum modular forms. Inspired by the 3d-3d correspondenc
e in string theory\, a new topological invariants named homological blocks
for (in particular plumbed) three-manifolds have been proposed a few year
s ago. My talk aims to explain the recent observations on the quantum modu
lar properties of the homological blocks\, as well as the relation to loga
rithmic vertex algebras. The talk will be based on a series of work in col
laboration with Sungbong Chun\, Boris Feigin\, Francesca Ferrari\, Sergei
Gukov\, Sarah Harrison\, and Gabriele Sgroi.\n
LOCATION:https://researchseminars.org/talk/EASW/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:João Penedones (École Polytechnique Fédérale de Lausanne)
DTSTART:20200626T080000Z
DTEND:20200626T090000Z
DTSTAMP:20260422T225758Z
UID:EASW/4
DESCRIPTION:Title: Non
perturbative Mellin Amplitudes\nby João Penedones (École Polytechniq
ue Fédérale de Lausanne) as part of East Asian String Webinars\n\n\nAbst
ract\nI will argue that nonperturbative CFT correlation functions admit a
Mellin amplitude representation. I will discuss the main properties of Mel
lin amplitudes: subtractions\, analyticity\, unitarity\, Polyakov conditio
ns and polynomial boundedness at infinity. These can be used to write disp
ersion relations for Mellin amplitudes. Combining crossing\, dispersion re
lations and Polyakov conditions I will write down a set of (extremal) func
tionals that act on the OPE data.\n
LOCATION:https://researchseminars.org/talk/EASW/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Tong (University of Cambridge)
DTSTART:20200710T080000Z
DTEND:20200710T090000Z
DTSTAMP:20260422T225758Z
UID:EASW/5
DESCRIPTION:Title: Bou
ndary conditions for chiral Fermions\nby David Tong (University of Cam
bridge) as part of East Asian String Webinars\n\n\nAbstract\nI will descri
be boundary conditions for fermions in d=1+1 dimensions\, using the framew
ork of boundary conformal field theory. I will explain how boundary states
are classified by a mod 2 index\, related to their SPT phase\, describe h
ow one can follow RG flows from one boundary state to another\, and give a
novel perspective on the Z_8 classification of d=2+1 SPT phases.\n
LOCATION:https://researchseminars.org/talk/EASW/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xiangyu Cao (UC Berkeley)
DTSTART:20200724T030000Z
DTEND:20200724T040000Z
DTSTAMP:20260422T225758Z
UID:EASW/6
DESCRIPTION:Title: Scr
ambling vs chaos\nby Xiangyu Cao (UC Berkeley) as part of East Asian S
tring Webinars\n\n\nAbstract\nHow to characterize information scrambling i
n dynamical systems is a question of interest to physicists across energy
scales. Inspired by classical chaos\, which addresses this question quite
successfully in classical physics\, out of order time correlators (OTOC) h
ave been considered a promising approach for quantum systems. In this talk
\, I will first discuss the relation between scrambling (as defined by exp
onential growth of OTOC) and chaos in the semiclassical regime\, and show
that they can differ qualitatively (joint work with Tianrui Xu andThomas S
caffidi). In a second part\, I will discuss scrambling in a family of gene
ralized Sachdev-Ye-Kitaev models\, which are arguably more realistic\, and
which allow us to clarify the behavior of the Lyapunov exponent in non-ma
xically chaotic Fermi and non-Fermi liquids (joint work with Jaewon Kim an
d Ehud Altman).\n
LOCATION:https://researchseminars.org/talk/EASW/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Julian Sonner (U. Geneva)
DTSTART:20200807T080000Z
DTEND:20200807T090000Z
DTSTAMP:20260422T225758Z
UID:EASW/7
DESCRIPTION:Title: Cau
sal symmetry breaking: late time physics of holographic quantum chaos\
nby Julian Sonner (U. Geneva) as part of East Asian String Webinars\n\n\nA
bstract\nQuantum chaotic systems are often defined via the assertion that
their spectral statistics coincides with\, or is well approximated by\, ra
ndom matrix theory. In this talk I will explain how the universal content
of random matrix theory emerges as the consequence of a simple symmetry-br
eaking principle and its associated Goldstone modes. Within AdS/CFT this g
ives a universal framework to express correlations between "different univ
erses"\, even for individual theories rather than ensembles. I will illust
rate the bulk picture of this EFT using the example minimal string theory.
I will end by discussing the construction of the EFT of quantum chaos als
o in higher dimensional field theories\, as applicable for example for hig
her-dimensional AdS/CFT dual pairs.\n
LOCATION:https://researchseminars.org/talk/EASW/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Richard A. Davison (Herriot-Watt U.)
DTSTART:20200821T080000Z
DTEND:20200821T090000Z
DTSTAMP:20260422T225758Z
UID:EASW/8
DESCRIPTION:Title: Rel
ations between transport and chaos in holographic theories\nby Richard
A. Davison (Herriot-Watt U.) as part of East Asian String Webinars\n\n\nA
bstract\nI will describe recent work illustrating general relations betwee
n the transport properties and chaotic properties of quantum field theorie
s with holographic duals. I will firstly show how a simple analysis of nea
r-horizon dynamics yields exact constraints on the spectrum of collective
excitations. I will then describe how this can be exploited to identify a
universal feature in the spectrum\, and its implications for the collectiv
e transport properties of strongly interacting field theories with gravity
duals.\n
LOCATION:https://researchseminars.org/talk/EASW/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yang Zhou (Fudan Univ.)
DTSTART:20200904T030000Z
DTEND:20200904T040000Z
DTSTAMP:20260422T225758Z
UID:EASW/9
DESCRIPTION:Title: Ref
lected entropy for an evaporating black hole\nby Yang Zhou (Fudan Univ
.) as part of East Asian String Webinars\n\n\nAbstract\nBlack hole informa
tion paradox is a problem over 40 years. Recent progress shows hint toward
s a new understanding of the black hole interior as part of the Hawking ra
diation\, which they called island. In particular the island formula for t
he Von Neumann entropy of Hawking radiation is consistent with unitarity.
In this talk I will discuss how to extract more information of the island
by computing the correlation in Hawking radiation. In particular we study
reflected entropy (as a correlation measure of mixed states) and propose a
quantum extremal surface for reflected entropy. Based on that\, we find a
formula for reflected entropy with island cross section as its area term
in gravitational system.\n
LOCATION:https://researchseminars.org/talk/EASW/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yang-Hui He (University of Oxford)
DTSTART:20200918T080000Z
DTEND:20200918T090000Z
DTSTAMP:20260422T225758Z
UID:EASW/10
DESCRIPTION:Title: Un
iverses as Bigdata: Superstrings\, Calabi-Yau Manifolds and Machine-Learn
ing\nby Yang-Hui He (University of Oxford) as part of East Asian Strin
g Webinars\n\n\nAbstract\nWe review how historically the problem of string
phenomenology lead theoretical physics first to algebraic/diffenretial ge
ometry\, and then to computational geometry\, and now to data science and
AI.\nWith the concrete playground of the Calabi-Yau landscape\, accumulate
d by the collaboration of physicists\, mathematicians and computer scienti
sts over the last 4 decades\, we show how the latest techniques in machine
-learning can help explore problems of physical and mathematical interest.
\n
LOCATION:https://researchseminars.org/talk/EASW/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Baumann (Univ. of Amsterdam)
DTSTART:20200417T030000Z
DTEND:20200417T040000Z
DTSTAMP:20260422T225758Z
UID:EASW/11
DESCRIPTION:Title: Th
e Cosmological Bootstrap\nby Daniel Baumann (Univ. of Amsterdam) as pa
rt of East Asian String Webinars\n\n\nAbstract\nThe past decade has seen a
n explosion of progress in our understanding of scattering amplitudes in g
auge theory and gravity. New bootstrap methods have revealed hidden symmet
ries and new mathematical structures that are completely invisible in the
standard approach of Lagrangians and Feynman diagrams. Inspired by these d
evelopments\, the bootstrap philosophy has recently been applied to cosmol
ogy. In this talk\, I will describe our work on the bootstrapping of cosmo
logical correlations. \n\nThe talk will have two parts: In the first part\
, I will describe the conceptual foundations of the "cosmological bootstra
p” as developed together with Arkani-Hamed\, Lee and Pimentel in [arXiv:
1811.00024]. In the second part\, I will describe the extension of these i
deas to massless particles with spin\, where locality provides important n
ew constraints. This is work to appear with Duaso Pueyo\, Joyce\, Lee and
Pimentel.\n
LOCATION:https://researchseminars.org/talk/EASW/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tadashi Takayanagi (Yukawa Institute for Theoretical Physics\, Kyo
to University)
DTSTART:20200501T030000Z
DTEND:20200501T040000Z
DTSTAMP:20260422T225758Z
UID:EASW/12
DESCRIPTION:Title: Ho
lographic Pseudo Entropy\nby Tadashi Takayanagi (Yukawa Institute for
Theoretical Physics\, Kyoto University) as part of East Asian String Webin
ars\n\n\nAbstract\nIn this talk\, we will study a generalization of hologr
aphic entanglement entropy. This quantity is defined by a mininal area sur
face in an asymptotically AdS space with Euclidean time-dependence. We wil
l give its CFT counterpart\, which we call pseudo entropy. We will also pr
ovide quantum information theoretic interpretations of this quantity in se
veral specific examples of qubit systems\, which help us to understand our
results of pseudo entropy in CFTs and gravity duals.\n
LOCATION:https://researchseminars.org/talk/EASW/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Justin Kaidi (Simons Center\, Stony Brook)
DTSTART:20201204T030000Z
DTEND:20201204T040000Z
DTSTAMP:20260422T225758Z
UID:EASW/13
DESCRIPTION:Title: Ad
ventures in Non-Supersymmetric String Theory\nby Justin Kaidi (Simons
Center\, Stony Brook) as part of East Asian String Webinars\n\n\nAbstract\
nIt has long been known that there exist strings with supersymmetry on the
world sheet\, but not in spacetime. These include the well-known Type 0 s
trings\, as well as a series of seven heterotic strings\, all of which are
obtained by imposing unconventional GSO projections. Besides these classi
c examples though\, relatively little is known about the full space of non
-SUSY theories. One of the reasons why non-SUSY strings have remained unde
rstudied is the fact that nearly all of them have closed string tachyons\,
and hence do not admit ten-dimensional flat space as a stable vacuum. The
goal of this talk is two-fold. First\, using recent advances in condensed
matter theory\, we will reinterpret GSO projections in terms of topologic
al phases of matter\, thereby providing a framework for the classification
of non-SUSY strings. Having done so\, we will show that for all non-SUSY
theories in which a tachyon exists\, it can be condensed to give a stable
lower-dimensional vacuum. In many cases\, these stable vacua will be two-d
imensional string theories already known in the literature.\n
LOCATION:https://researchseminars.org/talk/EASW/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Po-Shen Hsin (Caltech)
DTSTART:20201218T030000Z
DTEND:20201218T040000Z
DTSTAMP:20260422T225758Z
UID:EASW/14
DESCRIPTION:Title: Ap
plications of Berry phase in quantum field theory\nby Po-Shen Hsin (Ca
ltech) as part of East Asian String Webinars\n\n\nAbstract\nWe will discus
s Berry phase in family of quantum field theories and its implication to t
he low energy physics. The family is labelled by parameters which we promo
te to be spacetime-dependent background fields\, and the Berry phase is eq
uivalent to topological term of the parameters in the effective action. We
use Berry phase to study diabolic points in the phase diagram and discuss
applications including deconfined quantum criticality in 2+1d and new tes
ts for boson/fermion dualities.\n
LOCATION:https://researchseminars.org/talk/EASW/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuya Kusuki (Yukawa Institute\, Kyoto Univ.)
DTSTART:20210129T030000Z
DTEND:20210129T040000Z
DTSTAMP:20260422T225758Z
UID:EASW/15
DESCRIPTION:Title: Co
dimension two holography as generalization of AdS/CFT\nby Yuya Kusuki
(Yukawa Institute\, Kyoto Univ.) as part of East Asian String Webinars\n\n
\nAbstract\nI will describe a recent work about a new duality between D+1
dimensional AdS space and D-1 dimensional CFT\, so-called the “codimensi
on two holography”. I will show how we can realize this new \nholography
and show a good deal of evidence of this conjecture by performing explici
t computations of physical quantities from both sides.\n
LOCATION:https://researchseminars.org/talk/EASW/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Geoff Penington (UC Berkeley)
DTSTART:20210212T040000Z
DTEND:20210212T050000Z
DTSTAMP:20260422T225758Z
UID:EASW/16
DESCRIPTION:Title: En
tanglement wedge reconstruction and the Petz map\nby Geoff Penington (
UC Berkeley) as part of East Asian String Webinars\n\n\nAbstract\nI will i
ntroduce the Petz map and describe how it can be used in quantum gravity t
o implement entanglement wedge reconstruction. In particular\, I will focu
s on the example of reconstruction the interior of a black hole from its H
awking radiation.\n\nNote the unusual starting time!\n
LOCATION:https://researchseminars.org/talk/EASW/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dalimil Mazáč (Institute of Advanced Study\, Princeton)
DTSTART:20210326T030000Z
DTEND:20210326T040000Z
DTSTAMP:20260422T225758Z
UID:EASW/17
DESCRIPTION:Title: Sh
arp Boundaries for the Swampland\nby Dalimil Mazáč (Institute of Adv
anced Study\, Princeton) as part of East Asian String Webinars\n\n\nAbstra
ct\nI will discuss the problem of bounding higher derivative couplings in
consistent weakly coupled gravitational theories. The starting point will
be general assumptions about analyticity and Regge growth of the S-matrix.
Higher derivative couplings are expected to be of order one in the units
of the UV cutoff. Our approach justifies this expectation and allows us to
prove precise bounds on the order one coefficients. I will explain that t
he notorious difficulties presented by the graviton pole can be overcome b
y measuring couplings at small impact parameter\, rather than in the forwa
rd limit. I will illustrate the method in theories containing a massless s
calar coupled to gravity\, and in theories with maximal supersymmetry. My
talk will be based on https://arxiv.org/pdf/2102.08951.pdf\n
LOCATION:https://researchseminars.org/talk/EASW/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ashoke Sen (Harish-Chandra Research Institute\, Allahabad)
DTSTART:20210423T080000Z
DTEND:20210423T090000Z
DTSTAMP:20260422T225758Z
UID:EASW/18
DESCRIPTION:Title: Ac
tion principle for self-dual forms\nby Ashoke Sen (Harish-Chandra Rese
arch Institute\, Allahabad) as part of East Asian String Webinars\n\n\nAbs
tract\nIn this talk I'll describe recent progress towards finding an actio
n for describing chiral 2n-form fields in 4n+2 dimensions.\n
LOCATION:https://researchseminars.org/talk/EASW/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:-- No Webinar --
DTSTART:20210226T030000Z
DTEND:20210226T040000Z
DTSTAMP:20260422T225758Z
UID:EASW/19
DESCRIPTION:by -- No Webinar -- as part of East Asian String Webinars\n\nA
bstract: TBA\n
LOCATION:https://researchseminars.org/talk/EASW/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:-- No Webinar --
DTSTART:20210312T030000Z
DTEND:20210312T040000Z
DTSTAMP:20260422T225758Z
UID:EASW/20
DESCRIPTION:by -- No Webinar -- as part of East Asian String Webinars\n\nA
bstract: TBA\n
LOCATION:https://researchseminars.org/talk/EASW/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Roberto Emparan (ICREA and U. de Barcelona)
DTSTART:20210409T070000Z
DTEND:20210409T080000Z
DTSTAMP:20260422T225758Z
UID:EASW/21
DESCRIPTION:Title: Di
gging traversable wormholes\nby Roberto Emparan (ICREA and U. de Barce
lona) as part of East Asian String Webinars\n\n\nAbstract\nIn recent years
there have appeared several constructions of traversable wormholes\, in f
our and other dimensions\, which only involve physically acceptable\, cont
rollable ingredients. They connect in deep ways many aspects of gravity\,
quantum field theory\, and quantum information. I will discuss several fea
tures of these constructions\, with a focus on traversability\, connectivi
ty between multiple mouths\, and the (im)possibility of time travel.\n
LOCATION:https://researchseminars.org/talk/EASW/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pavel Kovtun (University of Victoria)
DTSTART:20210507T030000Z
DTEND:20210507T040000Z
DTSTAMP:20260422T225758Z
UID:EASW/22
DESCRIPTION:Title: Hy
drodynamics beyond hydrodynamics\nby Pavel Kovtun (University of Victo
ria) as part of East Asian String Webinars\n\n\nAbstract\nHydrodynamics is
a well-established field with a venerable history. In this talk\, I will
focus on the foundational aspect of hydrodynamics which came to light in r
ecent years. Do the equations of hydrodynamics even make sense? To what de
gree can the crudeness of hydrodynamics be improved? How do we describe lo
ng-distance phenomena that hydrodynamics is supposed to describe but fails
to? And how universal is it really?\n
LOCATION:https://researchseminars.org/talk/EASW/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Juan Pedraza (University Coll. London / Brandeis U.)
DTSTART:20210618T080000Z
DTEND:20210618T090000Z
DTSTAMP:20260422T225758Z
UID:EASW/23
DESCRIPTION:Title: Bi
t threads\, Einstein's equations and bulk locality\nby Juan Pedraza (U
niversity Coll. London / Brandeis U.) as part of East Asian String Webinar
s\n\n\nAbstract\nEntanglement plays a crucial role in questions pertaining
to the emergence and dynamics of bulk spacetime. The proposal of Ryu and
Takayanagi\, which relates the entanglement entropy of a boundary region t
o the area of a codimension-two bulk surface\, has been crucial to this ef
fort. However\, holographic entanglement can also be formulated using `bit
threads'\, i.e.\, divergenceless\, norm-bounded vector fields. In this ta
lk\, I will review recent work that studies how Einstein’s equations are
encoded in bit threads and how to understand bulk metric reconstruction i
n this language. Time permitting\, I'll also comment on the Lorentzian ana
log of this problem\, which is formulated in the context of the "complexit
y=volume" proposal. This talk will be based on 2007.07907\, 2105.08063\, 2
105.12735 and work in progress.\n
LOCATION:https://researchseminars.org/talk/EASW/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hitoshi Murayama (UC Berkeley / Kavli IPMU)
DTSTART:20210521T033000Z
DTEND:20210521T043000Z
DTSTAMP:20260422T225758Z
UID:EASW/24
DESCRIPTION:Title: So
me Exact Results in QCD-like and Chiral Gauge Theories\nby Hitoshi Mur
ayama (UC Berkeley / Kavli IPMU) as part of East Asian String Webinars\n\n
\nAbstract\nI present some exact results in QCD-like chiral gauge theories
. They are exact when supersymmetric gauge theories are perturbed by anoma
ly-mediated supersymmetry breaking (AMSB). Thanks to the UV-insensitivity
of AMSB\, SUSY results can be perturbed with no ambiguities even when appl
ied to composite fields. I find two phases for QCD-like theories\, one wit
h chiral symmetry breaking and another conformal. Our results for chiral g
auge theories do not agree with what had been suggested by tumbling. We su
ggest alternative schemes of tumbling-like interpretations. We see no evid
ence that large SUSY breaking leads to phase transitions\, perhaps protect
ed by holomorphy.\n
LOCATION:https://researchseminars.org/talk/EASW/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Aninda Sinha (Indian Institute of Science)
DTSTART:20210604T080000Z
DTEND:20210604T090000Z
DTSTAMP:20260422T225758Z
UID:EASW/25
DESCRIPTION:Title: QF
T\, EFT and GFT\nby Aninda Sinha (Indian Institute of Science) as part
of East Asian String Webinars\n\n\nAbstract\nI will talk about an intrigu
ing correspondence between 2-2 scattering in quantum field theory (QFT) an
d an area of mathematics called geometric function theory (GFT). The area
of GFT that we will focus on is the theory of typically real\, univalent f
unctions which are the relevant objects to understand scattering amplitude
s. This understanding relies heavily on a crossing symmetric dispersion re
lation for 2-2 scattering that was recently resurrected and furthered in t
he context of effective field theories (EFT). Time permitting\, I will exp
lain how to get the crossing symmetric EFT-hedron in effective field theor
ies.\n
LOCATION:https://researchseminars.org/talk/EASW/25/
END:VEVENT
END:VCALENDAR