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BEGIN:VEVENT
SUMMARY:(title unknown)
DTSTART:20190912T135000Z
DTEND:20190912T141000Z
DTSTAMP:20241113T155600Z
UID:indico-contribution-5931@indico.scc.kit.edu
DESCRIPTION:Speakers: Andrew Sanders (Heidelberg)\n\nhttps://indico.scc.ki
t.edu/event/620/contributions/5931/
LOCATION:HS 03 (New University (Neue Universität))
URL:https://indico.scc.kit.edu/event/620/contributions/5931/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Curvature\, Laplace operator\, and distance between spaces
DTSTART:20190912T141500Z
DTEND:20190912T143500Z
DTSTAMP:20241113T155600Z
UID:indico-contribution-5932@indico.scc.kit.edu
DESCRIPTION:Speakers: Shouhei Honda (Tohoku)\n\nIn this talk we introduce
a distance between two spaces\, so-called Gromov-Hausdorff distance\, and
discuss a question how geometric/analytic quantities are close if the dist
ance is small.\n\nhttps://indico.scc.kit.edu/event/620/contributions/5932/
LOCATION:HS 03 (New University (Neue Universität))
URL:https://indico.scc.kit.edu/event/620/contributions/5932/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cut locus and Riemannian central limit theorems
DTSTART:20190913T070000Z
DTEND:20190913T072000Z
DTSTAMP:20241113T155600Z
UID:indico-contribution-5933@indico.scc.kit.edu
DESCRIPTION:Speakers: Fernando Galaz-Garcia (Karlsruhe)\n\nStatistics on R
iemannian manifolds has attracted much interest\, it being the natural set
ting for considering data on smooth curved spaces. I will discuss a Centra
l Limit Theorem for closed Riemannian manifolds\, assuming certain stabili
ty hypothesis for the cut locus\, which always holds when the manifold is
compact but may not be satisfied in the non-compact case. This is joint wo
rk with Bejnamin Eltzner\, Stephan Huckemann\, and Wilderich Tuschmann.\n\
nhttps://indico.scc.kit.edu/event/620/contributions/5933/
LOCATION:HS 03 (New University (Neue Universität))
URL:https://indico.scc.kit.edu/event/620/contributions/5933/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The box-ball system with random initial conditions and Pitman's tr
ansformation
DTSTART:20190913T091000Z
DTEND:20190913T093000Z
DTSTAMP:20241113T155600Z
UID:indico-contribution-5937@indico.scc.kit.edu
DESCRIPTION:Speakers: Satoshi Tsujimoto (Kyoto)\n\nThe box-ball system(BBS
)\, introduced by Takahashi and Satsuma\, is a cellular automaton that exh
ibits solitonic behaviour. We show that the BBS dynamics can be described
by using the transformation of a nearest neighbour path encoding of the pa
rticle configuration given by ‘reflection in the past maximum’\, which
is known as Pitman's transformation. The techniques developed to understa
nd the deterministic dynamics are subsequently applied to study the evolut
ion of the BBS from a random initial configuration.\n\nhttps://indico.scc.
kit.edu/event/620/contributions/5937/
LOCATION:HS 03 (New University (Neue Universität))
URL:https://indico.scc.kit.edu/event/620/contributions/5937/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bridging the Gap - Medical Robots and Mathematics
DTSTART:20190913T094000Z
DTEND:20190913T100000Z
DTSTAMP:20241113T155600Z
UID:indico-contribution-5947@indico.scc.kit.edu
DESCRIPTION:Speakers: Franziska Mathis-Ullrich\n\nMedical Robots are gaini
ng interest in the field of healthcare due to their manifold advantages\,
such as enabling minimally-invasive surgical procedures with high precisio
n\, reduced tremor\, and direct feedback from various sensors to the surge
on. In this talk\, I will outline several medical robots\, which are comme
rcially available or focused on in current research. Additionally\, I will
stress the need for mathematical modelling as an applied field of mathema
tics bridging the gap to modern health care systems.\n\nhttps://indico.scc
.kit.edu/event/620/contributions/5947/
LOCATION:HS 03 (New University (Neue Universität))
URL:https://indico.scc.kit.edu/event/620/contributions/5947/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shape Optimization Problem based on Model-based and Data-Drive App
roach
DTSTART:20190913T082000Z
DTEND:20190913T084000Z
DTSTAMP:20241113T155600Z
UID:indico-contribution-5935@indico.scc.kit.edu
DESCRIPTION:Speakers: Takashi Nakazawa (Osaka)\n\nIn this presentation\, t
he author suggests shape optimization problem based on Model-based and Dat
a-Drive Approach\, for controlling transient flows effectively.\n\nhttps:/
/indico.scc.kit.edu/event/620/contributions/5935/
LOCATION:HS 03 (New University (Neue Universität))
URL:https://indico.scc.kit.edu/event/620/contributions/5935/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joint Discussion about Future Projects and Cooperations
DTSTART:20190913T101000Z
DTEND:20190913T105500Z
DTSTAMP:20241113T155600Z
UID:indico-contribution-5940@indico.scc.kit.edu
DESCRIPTION:https://indico.scc.kit.edu/event/620/contributions/5940/
LOCATION:HS 03 (New University (Neue Universität))
URL:https://indico.scc.kit.edu/event/620/contributions/5940/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Scalar curvature as moment map in generalized Kahler geometry
DTSTART:20190912T132000Z
DTEND:20190912T134000Z
DTSTAMP:20241113T155600Z
UID:indico-contribution-5938@indico.scc.kit.edu
DESCRIPTION:Speakers: Ryushi Goto (Osaka)\n\nFujiki and Donaldson show tha
t the moment map framework plays a crucial role in Kähler geometry and sc
alar curvature arises as the moment map for the action of Hamiltonian diff
eomorphisms.\nGeneralized Kahler Geometry is a successful generalization o
f the ordinary Kahler Geometry.\nIn pursuit of this analogy\, we show that
there exists the moment map on a generalized Kähler manifold under the c
ertain cohomological condition.\nWe prove that the Lie algebra of the redu
ced automorphisms is reductive if a generalized Kahler manifold admits a c
onstant scalar curvature\, which is an extension of Matsushima-Lichnerowiz
theorem.\n\nhttps://indico.scc.kit.edu/event/620/contributions/5938/
LOCATION:HS 03 (New University (Neue Universität))
URL:https://indico.scc.kit.edu/event/620/contributions/5938/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Geometrical Smeariness
DTSTART:20190913T084500Z
DTEND:20190913T090500Z
DTSTAMP:20241113T155600Z
UID:indico-contribution-5936@indico.scc.kit.edu
DESCRIPTION:Speakers: Benjamin Eltzner (Göttingen)\n\nThe central limit t
heorem (CLT) for the mean in Euclidean space features a normal limiting di
stribution and an asymptotic rate of $n^{-1/2}$ for all probability measur
es it applies to. We revisit the generalized CLT for the Fréchet mean on
hyperspheres. For some probability measures\,\nthe sample mean fluctuates
around the population mean asymptotically at a scale $n^{-\\alpha}$ with e
xponent $\\alpha = 1/6$ with a non-normal distribution. This is at first g
lance in analogy to the situation on a circle. We show that the phenomenon
on hyperspheres of higher dimension is qualitatively different\, as it do
es not rely on topological\, but\ngeometrical properties on the space\, na
mely on the curvature\, not on probability mass near the cut locus.\n\nhtt
ps://indico.scc.kit.edu/event/620/contributions/5936/
LOCATION:HS 03 (New University (Neue Universität))
URL:https://indico.scc.kit.edu/event/620/contributions/5936/
END:VEVENT
BEGIN:VEVENT
SUMMARY:An Introduction to Central Limit Theorems for Fréchet Means on Ma
nifolds
DTSTART:20190912T125500Z
DTEND:20190912T131500Z
DTSTAMP:20241113T155600Z
UID:indico-contribution-5930@indico.scc.kit.edu
DESCRIPTION:Speakers: Stephan Huckemann (Göttingen)\n\nGeneralizing the c
oncept of an expected value to metric spaces\, Fréchet (1948) introduced
means as minimizers of expected squared distance. Bhattacharya and Patrang
enaru (2005) derived a central limit theorem (CLT) for such Fréchet means
on manifolds under rather obscure conditions. We generalize their CLT and
shed some light on these obscure conditions. It turns out that the CLT ma
y have limiting rates different from the classical Euclidean $n^{-1/2}$. T
he challenge remains\, however\, to fully understand under which condition
s\, which specific CLT is valid. This\, hopefully\, gentle introduction is
based on joint work with Benjamin Eltzner.\n\nhttps://indico.scc.kit.edu/
event/620/contributions/5930/
LOCATION:HS 03 (New University (Neue Universität))
URL:https://indico.scc.kit.edu/event/620/contributions/5930/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Controllability and energy-optimal control of time-variant fractio
nal systems
DTSTART:20190912T144000Z
DTEND:20190912T150000Z
DTSTAMP:20241113T155600Z
UID:indico-contribution-5928@indico.scc.kit.edu
DESCRIPTION:Speakers: Kaori Nagatou (Karlsruhe)\n\nTime-variant fractional
models are used to describe many applications\, e.g. lithium-ion batterie
s. For such models\, neither a controllability criterion for state space
equations nor the energy-optimal control function are available so far. T
o overcome this limitation\, in this talk a reachability and controllabili
ty definition for time-variant fractional state space systems is formulate
d and the analytical solution of the energy-optimal control problem is pre
sented.\n\nhttps://indico.scc.kit.edu/event/620/contributions/5928/
LOCATION:HS 03 (New University (Neue Universität))
URL:https://indico.scc.kit.edu/event/620/contributions/5928/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Family of Seiberg-Witten theory and topology of fiber bundles
DTSTART:20190912T122500Z
DTEND:20190912T124500Z
DTSTAMP:20241113T155600Z
UID:indico-contribution-5929@indico.scc.kit.edu
DESCRIPTION:Speakers: Tsuyoshi Kato (Kyoto)\n\nIn this talk we will presen
t an example of topological fiber bundles whose base\, fiber and total man
ifolds are all smoothable\, but they are not smoothable as fiber bundles.\
nAs three basic tools\, we use a family Seiberg-Witten theory developed by
Baraglia-Konno\, Kirby-Siebenmann theory and topological invariance of ra
tional Pontryagin classes by Novikov.\nThis is a joint work with H.Konno a
nd N.Nakamura.\n\nhttps://indico.scc.kit.edu/event/620/contributions/5929/
LOCATION:HS 03 (New University (Neue Universität))
URL:https://indico.scc.kit.edu/event/620/contributions/5929/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Geometrical characteristics study for cardiovascular problems
DTSTART:20190913T072500Z
DTEND:20190913T074500Z
DTSTAMP:20241113T155600Z
UID:indico-contribution-5934@indico.scc.kit.edu
DESCRIPTION:Speakers: Hiroshi Suito (Tohoku)\n\nAortic aneurysm and aortic
dissections persist as life-threatening hazards. Although patient-specifi
c simulations are common in biomedical engineering and extremely useful fo
r a surgical planning etc.\, they remain insufficient to elucidate the gen
eral characteristics of targeted diseases. We introduce a geometrical char
acterization of blood vessels\, which vary widely among individuals. Throu
gh close collaboration between mathematical science and clinical medicine\
, these analyses yield greater understanding leading to better risk assess
ments.\n\nhttps://indico.scc.kit.edu/event/620/contributions/5934/
LOCATION:HS 03 (New University (Neue Universität))
URL:https://indico.scc.kit.edu/event/620/contributions/5934/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Constructing mechanochemical patterns using geometric singular per
turbation theory
DTSTART:20190913T075000Z
DTEND:20190913T081000Z
DTSTAMP:20241113T155600Z
UID:indico-contribution-5939@indico.scc.kit.edu
DESCRIPTION:Speakers: Frits Veerman (Heidelberg)\n\nMechanochemical models
present a new paradigm for biological pattern formation\, where the inter
action between domain curvature and pattern shape replaces the activator-i
nhibitor mechanism. Numerical simulations of a mechanochemical model formu
lated by M. Mercker & A. Marciniak-Czochra reveal a wide spectrum of novel
patterning phenomena\, which are as yet poorly understood from an analyti
cal point of view. Our aim is to develop more analytical insight into the
pattern formation process in mechanochemical models of this type. As a fir
st step towards this goal\, we show that one can employ methods from geome
tric singular perturbation theory to construct nonlinear\, far-from-equili
brium patterns in a general class of mechanochemical models. This analysis
reveals a direct relation between the biology --as encoded in the nonline
ar interaction of model componens-- and the type of (multiscale) patterns
that can arise.\n\nhttps://indico.scc.kit.edu/event/620/contributions/5939
/
LOCATION:HS 03 (New University (Neue Universität))
URL:https://indico.scc.kit.edu/event/620/contributions/5939/
END:VEVENT
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