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SUMMARY:Martin Mion-Mouton (Technion)
DTSTART;VALUE=DATE-TIME:20220320T110000Z
DTEND;VALUE=DATE-TIME:20220320T123000Z
DTSTAMP;VALUE=DATE-TIME:20220816T033653Z
UID:mathematicsofmotion/1
DESCRIPTION:Title: Partially hyperbolic diffeomorphisms of contact type and path
geometries\nby Martin Mion-Mouton (Technion) as part of The mathematic
s of motion\n\n\nAbstract\nAnosov-contact flows with smooth invariant dist
ributions have been classified by successive works of Ghys (in dimension t
hree) and Benoist-Foulon-Labourie (in any dimension) in the 90’s. In thi
s talk\, we will be interested with the analog question for discrete-time
dynamics\, that is for the partially hyperbolic diffeomorphisms – that h
ave a dynamical behaviour close to the time-one of an Anosov flow. More pr
ecisely\, we will present the classification of three-dimensional partiall
y hyperbolic diffeomorphisms (without wandering points) of contact type ha
ving smooth invariant distributions. We will see that the absence of the f
low heavily changes the situation\, and that the rigid geometric structure
defined by the stable and unstable distributions\, called a path geometry
\, plays a central role in this study through the point of view of Cartan
geometries.\n
LOCATION:https://researchseminars.org/talk/mathematicsofmotion/1/
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SUMMARY:Anette Karrer (Technion)
DTSTART;VALUE=DATE-TIME:20220410T100000Z
DTEND;VALUE=DATE-TIME:20220410T113000Z
DTSTAMP;VALUE=DATE-TIME:20220816T033653Z
UID:mathematicsofmotion/2
DESCRIPTION:Title: Dynamics on boundaries of CAT(0) groups\nby Anette Karrer
(Technion) as part of The mathematics of motion\n\n\nAbstract\nA CAT(0) gr
oup is a finitely generated group that acts nicely on a CAT(0) space\, i.e
. a geodesic metric space of non-positive curvature. Associated to such sp
aces are different kinds of topological spaces\, called boundaries on whic
h the group acts naturally. This enables us to study dynamics on these bou
ndaries.\n\nIn this talk I will explain what is meant by “classical Nort
h-south-dynamics” on these boundaries. Then I will describe a generaliza
tion introduced by Guralnik and Swenson that leads to a certain higher-dim
ensional version of classical North-south-dynamics.\n
LOCATION:https://researchseminars.org/talk/mathematicsofmotion/2/
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SUMMARY:Tsviqa Lakrec (Universität Zürich)
DTSTART;VALUE=DATE-TIME:20220424T100000Z
DTEND;VALUE=DATE-TIME:20220424T113000Z
DTSTAMP;VALUE=DATE-TIME:20220816T033653Z
UID:mathematicsofmotion/3
DESCRIPTION:by Tsviqa Lakrec (Universität Zürich) as part of The mathema
tics of motion\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/mathematicsofmotion/3/
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SUMMARY:Daniel Goldberg (Technion)
DTSTART;VALUE=DATE-TIME:20220508T100000Z
DTEND;VALUE=DATE-TIME:20220508T113000Z
DTSTAMP;VALUE=DATE-TIME:20220816T033653Z
UID:mathematicsofmotion/4
DESCRIPTION:Title: Surface Diffusion\; Well Posedness and Stability\nby Danie
l Goldberg (Technion) as part of The mathematics of motion\n\n\nAbstract\n
In the physical study of solid state materials multiple geometric evolutio
n equations arise. We examine one of them\, Surface Diffusion. It is a fou
rth order nonlinear parabolic Partial Differential Equation. We can ask th
e following questions: For which initial conditions is there a unique solu
tion? In which spaces does the solution live? What is its general behaviou
r? In this talk we will delve into the Well-Posedness of Surface Diffusion
by using the theory of Maximal Regularity and into the stability of its s
olutions near steady states by taking advantage of its Gradient Flow prope
rty.\n
LOCATION:https://researchseminars.org/talk/mathematicsofmotion/4/
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BEGIN:VEVENT
SUMMARY:Daniel Tsodikovich (Tel Aviv University)
DTSTART;VALUE=DATE-TIME:20220522T100000Z
DTEND;VALUE=DATE-TIME:20220522T113000Z
DTSTAMP;VALUE=DATE-TIME:20220816T033653Z
UID:mathematicsofmotion/5
DESCRIPTION:Title: A Billiard analogue of the Blaschke-Santalo inequality\nby
Daniel Tsodikovich (Tel Aviv University) as part of The mathematics of mo
tion\n\n\nAbstract\nThe Blaschke-Santalo inequality is a classical inequal
ity in convex geometry. This inequality is about the product of the volume
s of a convex body and its dual. In this talk we investigate an analogue o
f this inequality\, where the volume is replaced with the length of the sh
ortest billiard trajectory. We focus on the two dimensional case. We will
describe what the analogue of the “Santalo point” is in this setting\,
show an analogue of the inequality itself\, and discuss maximizers in cla
sses of polygons.\n
LOCATION:https://researchseminars.org/talk/mathematicsofmotion/5/
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SUMMARY:Eran Igra (Technion)
DTSTART;VALUE=DATE-TIME:20220619T100000Z
DTEND;VALUE=DATE-TIME:20220619T113000Z
DTSTAMP;VALUE=DATE-TIME:20220816T033653Z
UID:mathematicsofmotion/6
DESCRIPTION:Title: Knots and Chaos in the Rössler System\nby Eran Igra (Tech
nion) as part of The mathematics of motion\n\n\nAbstract\nThe Rössler sys
tem is the “minimal” model for chaos\, in the sense that it is “almo
st” linear – at least with respect to other well-known chaotic systems
. Despite that\, it generates a flow which exhibits many interesting prope
rties – from spiral-like homoclinic bifrucations to period-doubling rout
es to chaos. However\, most results on the Rössler System are numeric in
nature\, and little is known rigorously about it. In this talk we will see
how imposing mild assumptions on the dynamics can allow us to draw far-re
aching conclusions. In particular\, we will prove how under these assumpti
ons it is possible to rigorously verify some of the numerics observed in t
he Rössler System.\n\nBased on joint work with Prof. Tali Pinsky.\n
LOCATION:https://researchseminars.org/talk/mathematicsofmotion/6/
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BEGIN:VEVENT
SUMMARY:Noy Soffer-Aranov (Technion)
DTSTART;VALUE=DATE-TIME:20220825T104000Z
DTEND;VALUE=DATE-TIME:20220825T114000Z
DTSTAMP;VALUE=DATE-TIME:20220816T033653Z
UID:mathematicsofmotion/7
DESCRIPTION:Title: Fields Prize Talks: The Duffin-Schaefer Conjecture - on James
Maynard's Results\nby Noy Soffer-Aranov (Technion) as part of The math
ematics of motion\n\n\nAbstract\nJames Maynard received the 2022 fields me
dal on several groundbreaking results in number theory\, including the Duf
fin Schaefer conjecture\, which is the most famous open problem in metric
number theory. The Duffin Schaefer conjecture was open since 1941\, until
2019\, when Maynard and Koukouloupolus proved this conjecture. In this tal
k\, I will provide a sketch of their proof and briefly discuss some of May
nard's results regarding prime numbers\, time permitting.\n\nNote – this
talk is a part of the Fields Prize talks at the Technion\, aimed for a ge
neral mathematical audience. For more details\, please contact the organiz
ers.\n
LOCATION:https://researchseminars.org/talk/mathematicsofmotion/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Noy Soffer Aranov (Technion)
DTSTART;VALUE=DATE-TIME:20220822T093000Z
DTEND;VALUE=DATE-TIME:20220822T103000Z
DTSTAMP;VALUE=DATE-TIME:20220816T033653Z
UID:mathematicsofmotion/8
DESCRIPTION:Title: Fields Prize Talks: Sphere Packings - on Maryna Viazovska's re
sult\nby Noy Soffer Aranov (Technion) as part of The mathematics of mo
tion\n\n\nAbstract\nA sphere packing is a way to arrange balls of the same
radius so that no two balls overlap. They appear naturally in crystals\,
embryonic development and even stacking oranges in the supermarket. Furthe
rmore\, higher dimensional sphere packings appear in cryptography. An inte
resting question in geometry is what is the most efficient sphere packing
in each dimension. Until recently\, the answer to this question was known
only for dimensions 1\, 2 and 3. In 2017\, Maryna Viazovaska solved the sp
here packing problem in dimensions 8 and 24. Due to these impressive resul
ts\, in 2022\, she became the second woman to win the prestigious Fields m
edal. In this talk\, I will explain the mathematics behind sphere packings
and briefly explain Viazovska’s results.\n\nNote – this talk is a par
t of the Fields Prize talks at the Technion\, aimed for a general mathemat
ical audience. For more details\, please contact the organizers.\n
LOCATION:https://researchseminars.org/talk/mathematicsofmotion/8/
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BEGIN:VEVENT
SUMMARY:Alan Sorani (Technion)
DTSTART;VALUE=DATE-TIME:20220822T104000Z
DTEND;VALUE=DATE-TIME:20220822T114000Z
DTSTAMP;VALUE=DATE-TIME:20220816T033653Z
UID:mathematicsofmotion/9
DESCRIPTION:Title: Fields Prize Talks: Hodge Theory in Combinatorics – June Huh
’s results\nby Alan Sorani (Technion) as part of The mathematics of
motion\n\n\nAbstract\nJune Huh received the 2022 Fields Medal for his grou
ndbreaking introduction of ideas from Hodge theory into combinatorics and
for his use of these ideas to prove multiple long-standing conjectures. Ma
troids are combinatorical objects used as models for independence in vecto
r spaces and graphs. In his research\, June Huh constructed a “cohomolog
y ring” of a Matroid and showed that properties appearing in Hodge theor
y hold in this setting: The Hard Lefschetz theorem and the Hodge-Riemann r
elations. Using these properties\, Huh proved combinatorical conjectures o
n matroids\, which generalize easily stated problems in Euclidean geometry
. In this talk\, I will give some combinatorical background\, describe the
methods introduced by Huh and discuss some of the conjectures now solved
through these methods.\n\nNote – this talk is a part of the Fields Prize
talks at the Technion\, aimed for a general mathematical audience. For mo
re details\, please contact the organizers.\n
LOCATION:https://researchseminars.org/talk/mathematicsofmotion/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ron Rosenthal (Technion)
DTSTART;VALUE=DATE-TIME:20220825T093000Z
DTEND;VALUE=DATE-TIME:20220825T103000Z
DTSTAMP;VALUE=DATE-TIME:20220816T033653Z
UID:mathematicsofmotion/10
DESCRIPTION:Title: Fields Prize Talks: Phase transitions in statistical physics
– Hugo Duminil-Copin’s results\nby Ron Rosenthal (Technion) as par
t of The mathematics of motion\n\n\nAbstract\nThe past decades have seen t
remendous progress in our understanding of the behavior of many probabilis
tic models related to statistical mechanics and in particular their behavi
or near their “critical point”. In this talk we will provide introduct
ion to such models and discuss the contribution of Hugo Duminil-Copin and
his collaborators to these developments.\n\nNote – this talk is a part o
f the Fields Prize talks at the Technion\, aimed for a general mathematica
l audience. For more details\, please contact the organizers.\n
LOCATION:https://researchseminars.org/talk/mathematicsofmotion/10/
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