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SUMMARY:Alain Goriely (Oxford University)
DTSTART;VALUE=DATE-TIME:20200602T160000Z
DTEND;VALUE=DATE-TIME:20200602T170000Z
DTSTAMP;VALUE=DATE-TIME:20201029T102451Z
UID:mathseminarsnuig/1
DESCRIPTION:Title: The surprising shape of planets\nby Alain Goriely (Oxfo
rd University) as part of Maths seminars at the National University of Ire
land Galway\n\n\nAbstract\nWe usually picture planets as spheres. Yet\, th
e first problem of gravitational physics was to determine the shape of an
object due to its own mass. In the case of a fluid planet\, this problem
was considered so important that most of the great physicists and mathemat
icians worked on it for the last 350 years before a satisfactory theory wa
s established. In the case of a solid planet\, the problem is quite differ
ent and much more complicated. The problem is to determine the possible eq
uilibria of a planet modelled as a homogeneous compressible spherical ela
stic body subject to its own gravitational field. In the absence of gravit
y the initial radius is given and the density is constant. With gravity an
d for small planets\, the elastic deformations are small enough so that t
he spherical equilibria can be readily obtained by using the theory of lin
ear elasticity. For larger or denser planets\, large deformations are pos
sible and surprising behaviours emerge as will be revealed during this tal
k.\n
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BEGIN:VEVENT
SUMMARY:Sarah Muldoon (University at Buffalo)
DTSTART;VALUE=DATE-TIME:20200604T130000Z
DTEND;VALUE=DATE-TIME:20200604T140000Z
DTSTAMP;VALUE=DATE-TIME:20201029T102451Z
UID:mathseminarsnuig/2
DESCRIPTION:Title: Personalized brain network models\nby Sarah Muldoon (Un
iversity at Buffalo) as part of Maths seminars at the National University
of Ireland Galway\n\n\nAbstract\nPersonalized Brain Network Models (BNMs)
are a new type of computational tool that simulate a specific individual
’s brain activity based on measured structural brain connections. These
models have been shown to be sensitive to individual differences in brain
network structure and allow one to perform in silico experiments in order
to make predictions about the effects of stimulation\, disease progression
\, or drug treatment at the level of a specific individual. I will describ
e how one build such computational models from neuroimaging data and descr
ibe work using personalized BNMs to explore individual differences in brai
n structure and function.\n
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BEGIN:VEVENT
SUMMARY:Krishnan Shankar (The University of Oklahoma)
DTSTART;VALUE=DATE-TIME:20200611T150000Z
DTEND;VALUE=DATE-TIME:20200611T160000Z
DTSTAMP;VALUE=DATE-TIME:20201029T102451Z
UID:mathseminarsnuig/3
DESCRIPTION:Title: A mathematical exploration\nby Krishnan Shankar (The Un
iversity of Oklahoma) as part of Maths seminars at the National University
of Ireland Galway\n\n\nAbstract\nIn this talk we will explore a variety o
f mathematical ideas in dynamical systems\, arithmetic and geometry. I wi
ll present three beautiful yet elementary constructions which point to a d
eeper hidden structure in each case. We will explore\, for instance\, how
billiard balls naturally spell out the digits of pi or how the arithmetic
mean\, geometric mean inequality of numbers leads to a deep\, unsolved pr
oblem in geometry. While the full explanation of the "why" of these pheno
mena require graduate level or advanced mathematics\, most of the talk is
meant to be accessible to anyone with a college level background in mathem
atics.\n\nZOOM: https://zoom.us/j/98366657903?pwd=Y2FuMkZWbmJQd1NCeHAyQkRN
ak01Zz09\n\nMEETING ID: 983 6665 7903 Password: 830340\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrew Lobb (Durham University)
DTSTART;VALUE=DATE-TIME:20200618T100000Z
DTEND;VALUE=DATE-TIME:20200618T110000Z
DTSTAMP;VALUE=DATE-TIME:20201029T102451Z
UID:mathseminarsnuig/4
DESCRIPTION:Title: The smooth rectangular peg problem\nby Andrew Lobb (Dur
ham University) as part of Maths seminars at the National University of Ir
eland Galway\n\n\nAbstract\nFor any smooth Jordan curve and rectangle in t
he plane\, we show that there exist four points on the Jordan curve formin
g the vertices of a rectangle similar to the given one. No expertize assu
med. Joint work with Josh Greene.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hannah Conroy Broderick (NUI Galway)
DTSTART;VALUE=DATE-TIME:20200901T130000Z
DTEND;VALUE=DATE-TIME:20200901T140000Z
DTSTAMP;VALUE=DATE-TIME:20201029T102451Z
UID:mathseminarsnuig/5
DESCRIPTION:Title: Wrinkles and waves in soft dielectric plates\nby Hannah
Conroy Broderick (NUI Galway) as part of Maths seminars at the National U
niversity of Ireland Galway\n\n\nAbstract\nSoft dielectric materials are s
mart materials that deform in the presence of an electric field. They have
potential promising applications in devices such as artificial muscles an
d soft robotics\, where there is great demand for materials that can under
go repeated large deformations. \n\nIn principle\, large deformations can
be obtained by exploiting the so-called snap-through instability. However\
, this phenomenon is difficult to achieve and control in practice\, as the
material often fails due to electric breakdown\, or due to wrinkles appea
ring on the surface of the material. Here we study in turn the stability o
f voltage and charge-controlled soft dielectric plates. We investigate Hes
sian and geometric instability modes. We find that voltage-controlled diel
ectrics can wrinkle in compression and extension\, whereas charge-controll
ed dielectrics can only wrinkle in compression. We find that charge-contro
lled actuation is more stable than voltage-controlled actuation.\n\nStudie
s on waves in dielectric materials suggest the possibility of controlling
the wave velocity by applying an appropriate electric field. This paves th
e way for applying acoustic non-destructive evaluation techniques to diele
ctric plates\, a technique already used in purely elastic materials. Here
we study Lamb wave propagation in dielectric plates subject to electrical
and mechanical loadings. We look at the effects of the pre-stress\, the el
ectric field and the strain-stiffening on the wave characteristics.\n\nThi
s work relies on theoretical and numerical treatments\, using the multiphy
sics theory of nonlinear electro-elasticity\, the incremental theory of sm
all deformations and motions superposed on a large actuation\, the Stroh f
ormalism\, the numerical resolution of boundary-value problems\, and Finit
e Element simulations.\n
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SUMMARY:Haixuan Yang (National University of Ireland Galway)
DTSTART;VALUE=DATE-TIME:20201008T150000Z
DTEND;VALUE=DATE-TIME:20201008T160000Z
DTSTAMP;VALUE=DATE-TIME:20201029T102451Z
UID:mathseminarsnuig/6
DESCRIPTION:Title: A Heat Diffusion Model on a graph with boundary conditi
ons and its Applications\nby Haixuan Yang (National University of Ireland
Galway) as part of Maths seminars at the National University of Ireland Ga
lway\n\n\nAbstract\n15 years ago\, we developed a heat diffusion model on
a graph\, and applied it to classification problems and ranking problems.
This model only has initial conditions\, but no boundary conditions. 17 ye
ars ago\, there was a famous method (Harmonic Method) using harmonic funct
ions on a graph\, which has no initial conditions\, but has boundary condi
tions\, and the solution is an equilibrium of heat diffusion models\, i.e.
\, the time goes infinity. Recently we considered a heat diffusion with bo
th initial conditions and boundary conditions. The labelled nodes in a gra
ph are set as boundary conditions that will exert their influence on other
unlabelled nodes while the initial guess on the unlabelled nodes are set
as initial conditions. The diffusion process thus balances these two sets
of conditions: When times go to infinity\, it becomes equilibrium\, and th
us the method becomes the Harmonic Method\; When time is zero\, there is o
nly initial guess. We believe that there are some cases\, for which the st
atus before the equilibrium is achieved is better. This is a joint work w
ith Mohan Timilsina\, Vit Novacek\, Mathieu d'Aquin at INSIGHT.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Clarkson (University of Kent)
DTSTART;VALUE=DATE-TIME:20201112T160000Z
DTEND;VALUE=DATE-TIME:20201112T170000Z
DTSTAMP;VALUE=DATE-TIME:20201029T102451Z
UID:mathseminarsnuig/7
DESCRIPTION:by Peter Clarkson (University of Kent) as part of Maths semina
rs at the National University of Ireland Galway\n\nAbstract: TBA\n
END:VEVENT
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SUMMARY:Bharat Tripathi (National University of Ireland Galway)
DTSTART;VALUE=DATE-TIME:20201126T160000Z
DTEND;VALUE=DATE-TIME:20201126T170000Z
DTSTAMP;VALUE=DATE-TIME:20201029T102451Z
UID:mathseminarsnuig/8
DESCRIPTION:by Bharat Tripathi (National University of Ireland Galway) as
part of Maths seminars at the National University of Ireland Galway\n\nAbs
tract: TBA\n
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SUMMARY:Michael Tuite (National University of Ireland Galway)
DTSTART;VALUE=DATE-TIME:20201203T160000Z
DTEND;VALUE=DATE-TIME:20201203T170000Z
DTSTAMP;VALUE=DATE-TIME:20201029T102451Z
UID:mathseminarsnuig/9
DESCRIPTION:by Michael Tuite (National University of Ireland Galway) as pa
rt of Maths seminars at the National University of Ireland Galway\n\nAbstr
act: TBA\n
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SUMMARY:Richard Burke (National University of Ireland Galway)
DTSTART;VALUE=DATE-TIME:20201127T120000Z
DTEND;VALUE=DATE-TIME:20201127T130000Z
DTSTAMP;VALUE=DATE-TIME:20201029T102451Z
UID:mathseminarsnuig/10
DESCRIPTION:by Richard Burke (National University of Ireland Galway) as pa
rt of Maths seminars at the National University of Ireland Galway\n\nAbstr
act: TBA\n
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