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BEGIN:VEVENT
SUMMARY:Constructing mechanochemical patterns using geometric singular per
turbation theory
DTSTART;VALUE=DATE-TIME:20190913T075000Z
DTEND;VALUE=DATE-TIME:20190913T081000Z
DTSTAMP;VALUE=DATE-TIME:20240523T064108Z
UID:indico-contribution-620-5939@indico.scc.kit.edu
DESCRIPTION:Speakers: Frits Veerman (Heidelberg)\nMechanochemical models p
resent a new paradigm for biological pattern formation\, where the interac
tion between domain curvature and pattern shape replaces the activator-inh
ibitor mechanism. Numerical simulations of a mechanochemical model formula
ted by M. Mercker & A. Marciniak-Czochra reveal a wide spectrum of novel p
atterning phenomena\, which are as yet poorly understood from an analytica
l point of view. Our aim is to develop more analytical insight into the pa
ttern formation process in mechanochemical models of this type. As a first
step towards this goal\, we show that one can employ methods from geometr
ic singular perturbation theory to construct nonlinear\, far-from-equilibr
ium patterns in a general class of mechanochemical models. This analysis r
eveals a direct relation between the biology --as encoded in the nonlinear
interaction of model componens-- and the type of (multiscale) patterns th
at can arise.\n\nhttps://indico.scc.kit.edu/event/620/contributions/5939/
LOCATION:New University (Neue Universität) HS 03
URL:https://indico.scc.kit.edu/event/620/contributions/5939/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bridging the Gap - Medical Robots and Mathematics
DTSTART;VALUE=DATE-TIME:20190913T094000Z
DTEND;VALUE=DATE-TIME:20190913T100000Z
DTSTAMP;VALUE=DATE-TIME:20240523T064108Z
UID:indico-contribution-620-5947@indico.scc.kit.edu
DESCRIPTION:Speakers: Franziska Mathis-Ullrich ()\nMedical Robots are gain
ing interest in the field of healthcare due to their manifold advantages\,
such as enabling minimally-invasive surgical procedures with high precisi
on\, reduced tremor\, and direct feedback from various sensors to the surg
eon. In this talk\, I will outline several medical robots\, which are comm
ercially available or focused on in current research. Additionally\, I wil
l stress the need for mathematical modelling as an applied field of mathem
atics bridging the gap to modern health care systems.\n\nhttps://indico.sc
c.kit.edu/event/620/contributions/5947/
LOCATION:New University (Neue Universität) HS 03
URL:https://indico.scc.kit.edu/event/620/contributions/5947/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Geometrical characteristics study for cardiovascular problems
DTSTART;VALUE=DATE-TIME:20190913T072500Z
DTEND;VALUE=DATE-TIME:20190913T074500Z
DTSTAMP;VALUE=DATE-TIME:20240523T064108Z
UID:indico-contribution-620-5934@indico.scc.kit.edu
DESCRIPTION:Speakers: Hiroshi Suito (Tohoku)\nAortic aneurysm and aortic d
issections persist as life-threatening hazards. Although patient-specific
simulations are common in biomedical engineering and extremely useful for
a surgical planning etc.\, they remain insufficient to elucidate the gener
al characteristics of targeted diseases. We introduce a geometrical charac
terization of blood vessels\, which vary widely among individuals. Through
close collaboration between mathematical science and clinical medicine\,
these analyses yield greater understanding leading to better risk assessme
nts.\n\nhttps://indico.scc.kit.edu/event/620/contributions/5934/
LOCATION:New University (Neue Universität) HS 03
URL:https://indico.scc.kit.edu/event/620/contributions/5934/
END:VEVENT
BEGIN:VEVENT
SUMMARY:An Introduction to Central Limit Theorems for Fréchet Means on Ma
nifolds
DTSTART;VALUE=DATE-TIME:20190912T125500Z
DTEND;VALUE=DATE-TIME:20190912T131500Z
DTSTAMP;VALUE=DATE-TIME:20240523T064108Z
UID:indico-contribution-620-5930@indico.scc.kit.edu
DESCRIPTION:Speakers: Stephan Huckemann (Göttingen)\nGeneralizing the con
cept of an expected value to metric spaces\, Fréchet (1948) introduced me
ans as minimizers of expected squared distance. Bhattacharya and Patrangen
aru (2005) derived a central limit theorem (CLT) for such Fréchet means o
n manifolds under rather obscure conditions. We generalize their CLT and s
hed some light on these obscure conditions. It turns out that the CLT may
have limiting rates different from the classical Euclidean $n^{-1/2}$. The
challenge remains\, however\, to fully understand under which conditions\
, which specific CLT is valid. This\, hopefully\, gentle introduction is b
ased on joint work with Benjamin Eltzner.\n\nhttps://indico.scc.kit.edu/ev
ent/620/contributions/5930/
LOCATION:New University (Neue Universität) HS 03
URL:https://indico.scc.kit.edu/event/620/contributions/5930/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Geometrical Smeariness
DTSTART;VALUE=DATE-TIME:20190913T084500Z
DTEND;VALUE=DATE-TIME:20190913T090500Z
DTSTAMP;VALUE=DATE-TIME:20240523T064108Z
UID:indico-contribution-620-5936@indico.scc.kit.edu
DESCRIPTION:Speakers: Benjamin Eltzner (Göttingen)\nThe central limit the
orem (CLT) for the mean in Euclidean space features a normal limiting dist
ribution and an asymptotic rate of $n^{-1/2}$ for all probability measures
it applies to. We revisit the generalized CLT for the Fréchet mean on hy
perspheres. For some probability measures\,\nthe sample mean fluctuates ar
ound the population mean asymptotically at a scale $n^{-\\alpha}$ with exp
onent $\\alpha = 1/6$ with a non-normal distribution. This is at first gla
nce in analogy to the situation on a circle. We show that the phenomenon o
n hyperspheres of higher dimension is qualitatively different\, as it does
not rely on topological\, but\ngeometrical properties on the space\, name
ly on the curvature\, not on probability mass near the cut locus.\n\nhttps
://indico.scc.kit.edu/event/620/contributions/5936/
LOCATION:New University (Neue Universität) HS 03
URL:https://indico.scc.kit.edu/event/620/contributions/5936/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Scalar curvature as moment map in generalized Kahler geometry
DTSTART;VALUE=DATE-TIME:20190912T132000Z
DTEND;VALUE=DATE-TIME:20190912T134000Z
DTSTAMP;VALUE=DATE-TIME:20240523T064108Z
UID:indico-contribution-620-5938@indico.scc.kit.edu
DESCRIPTION:Speakers: Ryushi Goto (Osaka)\nFujiki and Donaldson show that
the moment map framework plays a crucial role in Kähler geometry and scal
ar curvature arises as the moment map for the action of Hamiltonian diffeo
morphisms.\nGeneralized Kahler Geometry is a successful generalization of
the ordinary Kahler Geometry.\nIn pursuit of this analogy\, we show that t
here exists the moment map on a generalized Kähler manifold under the cer
tain cohomological condition.\nWe prove that the Lie algebra of the reduce
d automorphisms is reductive if a generalized Kahler manifold admits a con
stant scalar curvature\, which is an extension of Matsushima-Lichnerowiz t
heorem.\n\nhttps://indico.scc.kit.edu/event/620/contributions/5938/
LOCATION:New University (Neue Universität) HS 03
URL:https://indico.scc.kit.edu/event/620/contributions/5938/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joint Discussion about Future Projects and Cooperations
DTSTART;VALUE=DATE-TIME:20190913T101000Z
DTEND;VALUE=DATE-TIME:20190913T105500Z
DTSTAMP;VALUE=DATE-TIME:20240523T064108Z
UID:indico-contribution-620-5940@indico.scc.kit.edu
DESCRIPTION:https://indico.scc.kit.edu/event/620/contributions/5940/
LOCATION:New University (Neue Universität) HS 03
URL:https://indico.scc.kit.edu/event/620/contributions/5940/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shape Optimization Problem based on Model-based and Data-Drive App
roach
DTSTART;VALUE=DATE-TIME:20190913T082000Z
DTEND;VALUE=DATE-TIME:20190913T084000Z
DTSTAMP;VALUE=DATE-TIME:20240523T064108Z
UID:indico-contribution-620-5935@indico.scc.kit.edu
DESCRIPTION:Speakers: Takashi Nakazawa (Osaka)\nIn this presentation\, the
author suggests shape optimization problem based on Model-based and Data-
Drive Approach\, for controlling transient flows effectively.\n\nhttps://i
ndico.scc.kit.edu/event/620/contributions/5935/
LOCATION:New University (Neue Universität) HS 03
URL:https://indico.scc.kit.edu/event/620/contributions/5935/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The box-ball system with random initial conditions and Pitman's tr
ansformation
DTSTART;VALUE=DATE-TIME:20190913T091000Z
DTEND;VALUE=DATE-TIME:20190913T093000Z
DTSTAMP;VALUE=DATE-TIME:20240523T064108Z
UID:indico-contribution-620-5937@indico.scc.kit.edu
DESCRIPTION:Speakers: Satoshi Tsujimoto (Kyoto)\nThe box-ball system(BBS)\
, introduced by Takahashi and Satsuma\, is a cellular automaton that exhib
its solitonic behaviour. We show that the BBS dynamics can be described by
using the transformation of a nearest neighbour path encoding of the part
icle configuration given by ‘reflection in the past maximum’\, which i
s known as Pitman's transformation. The techniques developed to understand
the deterministic dynamics are subsequently applied to study the evolutio
n of the BBS from a random initial configuration.\n\nhttps://indico.scc.ki
t.edu/event/620/contributions/5937/
LOCATION:New University (Neue Universität) HS 03
URL:https://indico.scc.kit.edu/event/620/contributions/5937/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cut locus and Riemannian central limit theorems
DTSTART;VALUE=DATE-TIME:20190913T070000Z
DTEND;VALUE=DATE-TIME:20190913T072000Z
DTSTAMP;VALUE=DATE-TIME:20240523T064108Z
UID:indico-contribution-620-5933@indico.scc.kit.edu
DESCRIPTION:Speakers: Fernando Galaz-Garcia (Karlsruhe)\nStatistics on Rie
mannian manifolds has attracted much interest\, it being the natural setti
ng for considering data on smooth curved spaces. I will discuss a Central
Limit Theorem for closed Riemannian manifolds\, assuming certain stability
hypothesis for the cut locus\, which always holds when the manifold is co
mpact but may not be satisfied in the non-compact case. This is joint work
with Bejnamin Eltzner\, Stephan Huckemann\, and Wilderich Tuschmann.\n\nh
ttps://indico.scc.kit.edu/event/620/contributions/5933/
LOCATION:New University (Neue Universität) HS 03
URL:https://indico.scc.kit.edu/event/620/contributions/5933/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Curvature\, Laplace operator\, and distance between spaces
DTSTART;VALUE=DATE-TIME:20190912T141500Z
DTEND;VALUE=DATE-TIME:20190912T143500Z
DTSTAMP;VALUE=DATE-TIME:20240523T064108Z
UID:indico-contribution-620-5932@indico.scc.kit.edu
DESCRIPTION:Speakers: Shouhei Honda (Tohoku)\nIn this talk we introduce a
distance between two spaces\, so-called Gromov-Hausdorff distance\, and di
scuss a question how geometric/analytic quantities are close if the distan
ce is small.\n\nhttps://indico.scc.kit.edu/event/620/contributions/5932/
LOCATION:New University (Neue Universität) HS 03
URL:https://indico.scc.kit.edu/event/620/contributions/5932/
END:VEVENT
BEGIN:VEVENT
SUMMARY:(title unknown)
DTSTART;VALUE=DATE-TIME:20190912T135000Z
DTEND;VALUE=DATE-TIME:20190912T141000Z
DTSTAMP;VALUE=DATE-TIME:20240523T064108Z
UID:indico-contribution-620-5931@indico.scc.kit.edu
DESCRIPTION:Speakers: Andrew Sanders (Heidelberg)\nhttps://indico.scc.kit.
edu/event/620/contributions/5931/
LOCATION:New University (Neue Universität) HS 03
URL:https://indico.scc.kit.edu/event/620/contributions/5931/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Family of Seiberg-Witten theory and topology of fiber bundles
DTSTART;VALUE=DATE-TIME:20190912T122500Z
DTEND;VALUE=DATE-TIME:20190912T124500Z
DTSTAMP;VALUE=DATE-TIME:20240523T064108Z
UID:indico-contribution-620-5929@indico.scc.kit.edu
DESCRIPTION:Speakers: Tsuyoshi Kato (Kyoto)\nIn this talk we will present
an example of topological fiber bundles whose base\, fiber and total manif
olds are all smoothable\, but they are not smoothable as fiber bundles.\nA
s three basic tools\, we use a family Seiberg-Witten theory developed by B
araglia-Konno\, Kirby-Siebenmann theory and topological invariance of rati
onal Pontryagin classes by Novikov.\nThis is a joint work with H.Konno and
N.Nakamura.\n\nhttps://indico.scc.kit.edu/event/620/contributions/5929/
LOCATION:New University (Neue Universität) HS 03
URL:https://indico.scc.kit.edu/event/620/contributions/5929/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Controllability and energy-optimal control of time-variant fractio
nal systems
DTSTART;VALUE=DATE-TIME:20190912T144000Z
DTEND;VALUE=DATE-TIME:20190912T150000Z
DTSTAMP;VALUE=DATE-TIME:20240523T064108Z
UID:indico-contribution-620-5928@indico.scc.kit.edu
DESCRIPTION:Speakers: Kaori Nagatou (Karlsruhe)\nTime-variant fractional m
odels are used to describe many applications\, e.g. lithium-ion batteries.
For such models\, neither a controllability criterion for state space e
quations nor the energy-optimal control function are available so far. To
overcome this limitation\, in this talk a reachability and controllability
definition for time-variant fractional state space systems is formulated
and the analytical solution of the energy-optimal control problem is prese
nted.\n\nhttps://indico.scc.kit.edu/event/620/contributions/5928/
LOCATION:New University (Neue Universität) HS 03
URL:https://indico.scc.kit.edu/event/620/contributions/5928/
END:VEVENT
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