BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:A Splitting Theorem for Decomposable Non-negatively Curved Polar M
anifolds
DTSTART;VALUE=DATE-TIME:20161010T080000Z
DTEND;VALUE=DATE-TIME:20161010T085000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-919@indico.scc.kit.edu
DESCRIPTION:Speakers: Fuquan Fang (Capital Normal University)\nPolar actio
ns constitute a special yet rich and geometrically significant class of is
ometric actions on Riemannian manifolds\, including actions with orbits of
codimension one and isotropy actions of symmetric spaces. Fang-Grove-Thor
bergsson proved that any polar action on a closed simply connected Riemani
an manifold M with positive (sectional) curvature is equivariantly diffeom
orphic to a polar action on a rank one symmetric space\, as long as its o
rbit space has dimension at least two. In this talk I will address to pola
r actions on Riemanian manifold with non-negative (sectional) curvature wh
ere the orbit space splits into a product of Alexandrov spaces. A splittin
g theorem for the polar manifold will be explained. This is a joint work w
ith K.Grove.\n\nhttps://indico.scc.kit.edu/event/219/contributions/919/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/919/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Harmonic functions on discrete groups
DTSTART;VALUE=DATE-TIME:20161011T120000Z
DTEND;VALUE=DATE-TIME:20161011T125000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-918@indico.scc.kit.edu
DESCRIPTION:Speakers: Bobo Hua (Fudan University)\nFor a finitely generate
d group\, one defines a graph structure\, so-called Cayley graph\, via a s
pecified generating set.\nFor this graph\, it associates with a discrete L
aplace operator. The kernel of the operator consists of (discrete) harmoni
c functions.\nGlobal behaviors of harmonic functions on infinite groups ar
e of interest. In this talk\, we will discuss several known results for ha
rmonic functions on discrete groups.\n\nhttps://indico.scc.kit.edu/event/2
19/contributions/918/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/918/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Blow-up analysis at the boundary for approximate (Dirac-)harmonic
maps from surfaces
DTSTART;VALUE=DATE-TIME:20161011T080000Z
DTEND;VALUE=DATE-TIME:20161011T085000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-917@indico.scc.kit.edu
DESCRIPTION:Speakers: Miaomiao Zhu (Shanghai Jiao Tong University)\nIn thi
s talk\, we shall present some recent progress on the blow-up analysis at
the free boundary for approximate harmonic maps from surfaces. Also\, we
shall briefly discuss the Dirichlet boundary case for (Dirac-)harmonic map
s and some applications to (Dirac-)harmonic map flows from surfaces with s
mooth boundary. These are joint works with Jürgen Jost and Lei Liu.\n\nht
tps://indico.scc.kit.edu/event/219/contributions/917/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/917/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Curvature bounds for discrete metric spaces
DTSTART;VALUE=DATE-TIME:20161010T132500Z
DTEND;VALUE=DATE-TIME:20161010T141500Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-916@indico.scc.kit.edu
DESCRIPTION:Speakers: Jürgen Jost (MPI MIS)\nUsually\, sectional curvatur
e bounds in the sense of Alexandrov or Busemann\, as inspired by the prope
rties of Riemannian manifolds with global bounds on their sectional curvat
ure\, are formulated for geodesic length spaces. In this talk\, it is show
n how to formulate such bounds for arbitrary metric spaces\, and the relat
ion with the classical formulations is explored.\n\nhttps://indico.scc.kit
.edu/event/219/contributions/916/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/916/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Approximately fibering a manifold over an aspherical one.
DTSTART;VALUE=DATE-TIME:20161014T133000Z
DTEND;VALUE=DATE-TIME:20161014T142000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-915@indico.scc.kit.edu
DESCRIPTION:Speakers: F. Thomas Farrell (YMSC and Dept. of Mathematics Tsi
nghua University)\nThis talk is a report on joint work with W. Lueck and W
. Steimle. Let $p:M \\to B$ be a continuous map between closed connected m
anifolds such the induced map $P$ on fundamental groups is an epimorphism
and $B$ is aspherical. Let $F(p)$ denote the homotopy fiber of $p$. An exp
licit model for $F(p)$ is the covering space of $M$ corresponding to the k
ernel of $P$.) The question addressed in this talk is to give useful suffi
cient conditions which guarantee that $p$ is homotopic to an approximate m
anifold fibration $q:M \\to B$\; i.e. a continuous map such that $q^{-1}(U
)$ is homotopy equivalent to $F(p)$ for each open subset $U$ of $B$ which
is homeomorphic to $R^n$ where $n= \\dim B$. We do this for a large class
of aspherical manifolds $B$ including all negatively curved manifolds of d
imension different from 4.\n\nhttps://indico.scc.kit.edu/event/219/contrib
utions/915/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/915/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Ricci Flow on manifolds with almost non-negative curvature ope
rator
DTSTART;VALUE=DATE-TIME:20161011T133000Z
DTEND;VALUE=DATE-TIME:20161011T142000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-914@indico.scc.kit.edu
DESCRIPTION:Speakers: Esther Cabezas-Rivas (Goethe Universität Frankfurt)
\nWe show that n-manifolds with a lower volume bound v and upper diameter
bound D whose curvature operator is bounded below by $-\\varepsilon(n\,v\,
D)$ also admit metrics with nonnegative curvature operator. The proof reli
es on heat kernel estimates for the Ricci flow and shows that various smoo
thing properties of the Ricci flow remain valid if an upper curvature boun
d is replaced by a lower volume bound.\n\nhttps://indico.scc.kit.edu/event
/219/contributions/914/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/914/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Diameter growth and bounded topology of complete manifolds with no
nnegative Ricci curvature
DTSTART;VALUE=DATE-TIME:20161012T084000Z
DTEND;VALUE=DATE-TIME:20161012T091000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-913@indico.scc.kit.edu
DESCRIPTION:Speakers: Huihong Jiang (Shanghai Jiao Tong University)\nA man
ifold is said to be of finite topological type if it is homeomorphic to th
e interior of a compact manifold with boundary. In this talk\, I will show
that a complete $n$-dim Riemannian manifold with nonnegative Ricci curvat
ure is of finite topological type provided that the diameter growth of $M$
is of order $o(r^{((n-1)\\alpha+1)/n})$ and the sectional curvature is no
less than $-{\\frac{c}{r^{2\\alpha}}}$ (here $0 \\le \\alpha \\le 1$ and
$c$ is some positive constant) outside a geodesic ball large enough. This
can be considered as a generalization of Abresch-Gromoll Theorem. This is
based on a joint work with Yihu Yang.\n\nhttps://indico.scc.kit.edu/event/
219/contributions/913/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/913/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Moduli spaces of metrics of nonnegative sectional curvature
DTSTART;VALUE=DATE-TIME:20161014T090000Z
DTEND;VALUE=DATE-TIME:20161014T095000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-912@indico.scc.kit.edu
DESCRIPTION:Speakers: Anand Dessai (University of Fribourg)\nIn my talk I
will give a survey on results concerning the topology of moduli spaces of
metrics of nonnegative sectional curvature for closed manifolds.\n\nhttps:
//indico.scc.kit.edu/event/219/contributions/912/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/912/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Collapsed manifolds with Ricci curvature and local rewinding volum
e bounded below
DTSTART;VALUE=DATE-TIME:20161010T090000Z
DTEND;VALUE=DATE-TIME:20161010T095000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-911@indico.scc.kit.edu
DESCRIPTION:Speakers: Xiaochun Rong (Capital Normal University and Rutgers
University)\nA Riemannian manifold is collapsed\, if any unit ball has sm
all volume. The local rewinding volume of a metric ball $B_r(x)$ is the vo
lume of $B_r(x^*)$\, where $(U^*(x\,r)\,x^*)\\to B_r(x)\,x)$ denotes the R
iemannian universal covering space. We will report recent work on collapse
d Riemannian manifolds with Ricci curvature and local rewinding volume bou
nded below.\n\nhttps://indico.scc.kit.edu/event/219/contributions/911/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/911/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Topology of local symplectic conifold transitions on $CP^{1}$-bund
les
DTSTART;VALUE=DATE-TIME:20161012T080000Z
DTEND;VALUE=DATE-TIME:20161012T083000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-910@indico.scc.kit.edu
DESCRIPTION:Speakers: Yi Jiang (Yau Mathematical Sciences Center Tsinghua
University)\nSymplectic conifold transitions are certain symplecitc surger
ies on symplectic 6-manifolds introduced by I.Smith\, R.P.Thomas and S.-T.
Yau. It is an open question that if symplectic conifold transitios preserv
e Kahler structures. In this talk we will recall some related basic notion
s and motivations\, and then discuss some results on local symplectic coni
fold transitions on all $CP^{1}$-bundles over symplectic 4-manifolds.\n\nh
ttps://indico.scc.kit.edu/event/219/contributions/910/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/910/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Special metrics on conic spheres
DTSTART;VALUE=DATE-TIME:20161014T080000Z
DTEND;VALUE=DATE-TIME:20161014T085000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-909@indico.scc.kit.edu
DESCRIPTION:Speakers: Mijia Lai (Shanghai Jiao Tong University)\nI will pr
esent the problem of finding special metrics on conic spheres. The first o
ne is the "least-pinched" metric when the conic sphere does not admit cons
tant curvature metrics\, the second is a metric realizing minimal volume f
or conic sphere in the sense of Gromov. This is a joint work with Hao Fang
.\n\nhttps://indico.scc.kit.edu/event/219/contributions/909/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/909/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Transversal Yamabe problem
DTSTART;VALUE=DATE-TIME:20161013T133000Z
DTEND;VALUE=DATE-TIME:20161013T142000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-908@indico.scc.kit.edu
DESCRIPTION:Speakers: Guofang Wang (University of Freiburg)\nIn this talk
I will introduce a Yamabe type problem on a Riemannian foliation and give
a sufficient condition under which it has a solution. Moreover\, I will ta
lk about its difficulty.\n\nhttps://indico.scc.kit.edu/event/219/contribut
ions/908/
LOCATION: 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/908/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Conformal Willmore tori in $\\mathbb{R}^4$
DTSTART;VALUE=DATE-TIME:20161011T090000Z
DTEND;VALUE=DATE-TIME:20161011T095000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-907@indico.scc.kit.edu
DESCRIPTION:Speakers: Tobias Lamm (Karlsruhe Institute of Technology)\nIn
this talk I am going to present recent existence and non-existence results
for conformal Willmore Tori in $\\mathbb{R}^4$ which were obtained in a c
ollaboration with Reiner M. Schätzle (Tübingen).\n\nhttps://indico.scc.k
it.edu/event/219/contributions/907/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/907/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Smooth bundles with nonpositively curved fibers
DTSTART;VALUE=DATE-TIME:20161012T092000Z
DTEND;VALUE=DATE-TIME:20161012T095000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-906@indico.scc.kit.edu
DESCRIPTION:Speakers: Mauricio Bustamante (Yau Mathematical Sciences Cente
r Tsinghua University)\nI will discuss some features of the topology of sm
ooth bundles whose fiber is a closed manifold that supports a nonpositivel
y curved Riemannian metric. Specifically\, I will show (topological) rigid
ity results for the associated vertical tangent bundle and a vanishing the
orem for the generalized Miller-Morita-Mumford classes. This is joint work
with Tom Farrell and Yi Jiang.\n\nhttps://indico.scc.kit.edu/event/219/co
ntributions/906/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/906/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Positivity and higher Teichmüller theory
DTSTART;VALUE=DATE-TIME:20161014T120000Z
DTEND;VALUE=DATE-TIME:20161014T125000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-905@indico.scc.kit.edu
DESCRIPTION:Speakers: Anna Wienhard (Heidelberg University)\nClassical Tei
chmüller space describes the space of conformal structures on a given top
ological surface S. It plays an important role in several areas of mathema
tics as well as in theoretical physics. Higher Teichmüller theory general
izes several aspects of classical Teichmüller theory to the context of Li
e groups of higher rank\, such as the symplectic group PSp(2n\; R) or the
special linear group PSL(n\; R). So far\, two families of higher Teichmül
ler spaces are known. The Hitchin component\, which is defined when the Li
e group is a split real forms\, and the space of maximal representations\,
which is defined for Lie groups of Hermitian type. Interestingly\, both f
amilies are linked with various notions of positivity in Lie groups. \n\nI
n this talk I will give an introduction to higher Teichmüller theory\, in
troduce new positive structures on Lie groups and discuss the (partly conj
ectural) relation between the two.\n\nhttps://indico.scc.kit.edu/event/219
/contributions/905/
LOCATION:
URL:https://indico.scc.kit.edu/event/219/contributions/905/
END:VEVENT
BEGIN:VEVENT
SUMMARY:An index theorem for Lorentzian manifolds with boundary
DTSTART;VALUE=DATE-TIME:20161013T080000Z
DTEND;VALUE=DATE-TIME:20161013T085000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-904@indico.scc.kit.edu
DESCRIPTION:Speakers: Christian Bär (Universität Potsdam)\nWe show that
the Dirac operator on a globally hyperbolic Lorentzian spacetime with comp
act spacelike Cauchy boundary is a Fredholm operator if appropriate bounda
ry conditions are imposed. We prove that the index of this operator is giv
en by the same expression as in the index formula of Atiyah-Patodi-Singer
for Riemannian manifolds with boundary. If time permits\, an application t
o quantum field theory will be sketched. This is the first index theorem f
or Lorentzian manifolds and\, from an analytic perspective\, the methods t
o obtain it are quite different from the classical Riemannian case. This i
s joint work with Alexander Strohmaier.\n\nhttps://indico.scc.kit.edu/even
t/219/contributions/904/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/904/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Harmonic maps and singularities of period mappings
DTSTART;VALUE=DATE-TIME:20161010T122500Z
DTEND;VALUE=DATE-TIME:20161010T131500Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-903@indico.scc.kit.edu
DESCRIPTION:Speakers: Yihu Yang (Shanghai Jiao Tong University)\nWe use si
mple methods from harmonic maps to investigate singularities of period map
pings at inﬁnity. More precisely\, we derive a harmonic map version of S
chmid’s nilpotent orbit theorem. This is a joint work with J. Jost and K
. Zuo.\n\nhttps://indico.scc.kit.edu/event/219/contributions/903/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/903/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A new geometric flow about cscK metrics in Kahler geometry
DTSTART;VALUE=DATE-TIME:20161013T120000Z
DTEND;VALUE=DATE-TIME:20161013T125000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-902@indico.scc.kit.edu
DESCRIPTION:Speakers: Yi Li (Department of mathematics\, Shanghai Jiao Ton
g University)\nIn this talk I will give a new flow of Kahler metrics whose
stable point is a constant scalar curvature Kahler metric\, and discuss t
he long time existence. This is a joint work with Yuan Yuan and Yuguang Zh
ang.\n\nhttps://indico.scc.kit.edu/event/219/contributions/902/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/902/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Degree of L2 Alexander torsion for 3-manifolds
DTSTART;VALUE=DATE-TIME:20161013T090000Z
DTEND;VALUE=DATE-TIME:20161013T095000Z
DTSTAMP;VALUE=DATE-TIME:20240527T124728Z
UID:indico-contribution-219-901@indico.scc.kit.edu
DESCRIPTION:Speakers: Yi Liu (Beijing International Center for Mathematica
l Research)\nFor an irreducible orientable compact 3-manifold N with empty
or incompressible toral boundary\, the L2 Alexander torsion has been intr
oduced by Dubois\, Friedl\, and Lueck. In this talk\, I'll explain the ide
a to prove that the full L2 Alexander torsion is a continuous everywhere p
ositive and asymptotically monomial function in both ends. It can be furth
er shown that the degree of the full L2 Alexander torsion is equal to the
Thurston norm of the defining first cohomology class.\n\nhttps://indico.sc
c.kit.edu/event/219/contributions/901/
LOCATION: Room 1.067
URL:https://indico.scc.kit.edu/event/219/contributions/901/
END:VEVENT
END:VCALENDAR