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SUMMARY:Konstantinos Kourliouros (Imperial College London)
DTSTART:20261007T113000Z
DTEND:20261007T120000Z
DTSTAMP:20261005T074425Z
UID:MathEngSeminars/1
DESCRIPTION:Title: Geometric Theory of Random Dynamical Systems\nby Konsta
ntinos Kourliouros (Imperial College London) as part of Istanbul Technical
University Mathematical Engineering Department Seminars\n\nLecture held i
n Fen-Edebiyat Fakültesi B1-326.\n\nAbstract\nIn this talk\, I will prese
nt recent joint work with collaborators at Imperial College London on the
geometrisation of the theory of random dynamical systems. Research on such
systems has traditionally relied on stochastic and functional analytic me
thods\, particularly for differential equations driven by unbounded noise
such as Brownian motion. Systems with bounded noise\, however\, generally
possess multiple coexisting attractors\, each supporting a stationary ergo
dic probability measure that describes its long-term statistics.\n\nThe ge
ometry\, topology\, stability and bifurcations of these attractors have re
mained inaccessible to conventional differential-geometric tools\, partly
because the hyperspace of compact subsets of the state space has no natura
l Banach-space structure. I will explain how this problem can be addressed
through a contact lift of the random dynamical system\, analogous to the
Pontryagin construction in geometric control theory. This produces a deter
ministic contact dynamical system on the unit cotangent bundle\, called th
e boundary system. Co-oriented boundaries of random attractors and other i
nvariant sets lift uniquely to invariant Legendrian submanifolds of this s
ystem.\n\nUsing this correspondence principle\, I will discuss recent resu
lts on the stability of random attractors through normal hyperbolicity of
the boundary system\, as well as ongoing work on local and global bifurcat
ions through the associated bifurcations of Legendrian fronts.\n
LOCATION:https://master.researchseminars.org/talk/MathEngSeminars/1/
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BEGIN:VEVENT
SUMMARY:Deniz Eroğlu (Imperial College London & Kadir Has University)
DTSTART:20261007T120000Z
DTEND:20261007T123000Z
DTSTAMP:20261005T074425Z
UID:MathEngSeminars/2
DESCRIPTION:Title: Network-Oriented Dynamics and Data Science: A Mathematical
View of Interacting Systems\nby Deniz Eroğlu (Imperial College London
& Kadir Has University) as part of Istanbul Technical University Mathemat
ical Engineering Department Seminars\n\nLecture held in Fen-Edebiyat Fakü
ltesi B1-326.\n\nAbstract\nMany high-dimensional systems can be represente
d as networks of interacting dynamical units. Their observable behaviour o
ften depends less on the individual components than on the collective orga
nisation created by network topology\, heterogeneity and nonlinear couplin
g.\n\nThis talk will provide a broad overview of the mathematical research
programme developed within the Network-Oriented Dynamics and Data Science
group. Starting from deterministic and random dynamical systems\, I will
discuss how interaction structure shapes synchronisation\, stability\, eme
rgence and bifurcations\; how high-dimensional network problems can be red
uced to analytically and computationally tractable descriptions\; and how
governing dynamics and interaction networks can be reconstructed from data
. Particular attention will be given to identifying loss of stability and
critical transitions from partial or noisy observations.\n\nExamples from
neural and genetic networks\, climate dynamics\, power grids and transport
systems will illustrate the common mathematical questions behind these ap
plications. Rather than focusing on a single result\, the talk will trace
the development of this programme from the mathematical foundations of col
lective dynamics to data-driven reconstruction\, model reduction and the d
etection of critical transitions.\n
LOCATION:https://master.researchseminars.org/talk/MathEngSeminars/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nazlı Doğan (Fatih Sultan Mehmet Vakıf University)
DTSTART:20261014T113000Z
DTEND:20261014T123000Z
DTSTAMP:20261005T074425Z
UID:MathEngSeminars/3
DESCRIPTION:Title: Toeplitz Operators: From Hardy and Bergman Spaces to Köthe
Spaces\nby Nazlı Doğan (Fatih Sultan Mehmet Vakıf University) as p
art of Istanbul Technical University Mathematical Engineering Department S
eminars\n\nLecture held in Fen-Edebiyat Fakültesi B1-326.\n\nAbstract\nTo
eplitz operators constitute a classical and extensively studied class of o
perators arising\nnaturally in the theory of Hilbert spaces\, particularly
in the setting of Hardy and Bergman\nspace. Their classical theory begins
with Hardy spaces and extends naturally to Bergman\nspaces. In this talk\
, we first introduce Toeplitz operators on Hardy spaces and then examine t
heir definition and properties on Bergman spaces. We discuss compactness c
riteria for\nToeplitz operators in this setting and present some results o
btained jointly with Şahutoğlu. \n\nMore recently\, the study of Toeplit
z operators has been extended beyond the classical\nHilbert space setting
to broader classes of topological vector spaces. Jasiczak introduced\nand
characterized the class of Toeplitz operators on the Fréchet space of ent
ire functions. \nThis naturally leads us to consider Toeplitz operators on
Köthe spaces\, which provide a broader locally convex framework containi
ng important spaces of holomorphic functions.\nWe discuss their compactnes
s and investigate several of their dynamical properties\, including topolo
gizability\, power boundedness\, and mean ergodicity.\n
LOCATION:https://master.researchseminars.org/talk/MathEngSeminars/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ahmet Göncü (Istanbul Technical University)
DTSTART:20261021T113000Z
DTEND:20261021T123000Z
DTSTAMP:20261005T074425Z
UID:MathEngSeminars/4
DESCRIPTION:by Ahmet Göncü (Istanbul Technical University) as part of Is
tanbul Technical University Mathematical Engineering Department Seminars\n
\nLecture held in Fen-Edebiyat Fakültesi B1-326.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/MathEngSeminars/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tuğçe Sezer (Istanbul Technical University)
DTSTART:20261104T113000Z
DTEND:20261104T123000Z
DTSTAMP:20261005T074425Z
UID:MathEngSeminars/5
DESCRIPTION:by Tuğçe Sezer (Istanbul Technical University) as part of Is
tanbul Technical University Mathematical Engineering Department Seminars\n
\nLecture held in Fen-Edebiyat Fakültesi B1-326.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/MathEngSeminars/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Selcen Sayıcı (Independent Researcher)
DTSTART:20261111T113000Z
DTEND:20261111T123000Z
DTSTAMP:20261005T074425Z
UID:MathEngSeminars/6
DESCRIPTION:Title: New Linear Codes via Restricted Evaluation Codes\nby Se
lcen Sayıcı (Independent Researcher) as part of Istanbul Technical Unive
rsity Mathematical Engineering Department Seminars\n\nLecture held in Fen-
Edebiyat Fakültesi B1-326.\n\nAbstract\nGalindo et al. introduced a class
of codes which are obtained by evaluation of polynomials at the roots of
a trace map. Via subfield subcodes\, this construction yields new linear c
odes\nwith good parameters. Here\, we extend this construction to allow ev
aluation at the roots of any\npolynomial which splits in the field of eval
uation. Our proof relies on Galois-closedness of codes in\nconsideration.
Moreover\, we introduce a lengthening process that preserves Galois-closed
property\nof restricted evaluation codes. Subfield subcodes of such lengt
hened codes yield further good linear\ncodes. In total\, we obtain 17 line
ar codes over $\\mathbb{F}_4$ and $\\mathbb{F}_5$ which improve the best k
nown linear code parameters. Moreover\, we give a construction for two lin
ear codes which have the best known parameters\, but for which no construc
tion was known before.\n
LOCATION:https://master.researchseminars.org/talk/MathEngSeminars/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ilmar Gahramanov (Boğaziçi University)
DTSTART:20261125T113000Z
DTEND:20261125T123000Z
DTSTAMP:20261005T074425Z
UID:MathEngSeminars/7
DESCRIPTION:by Ilmar Gahramanov (Boğaziçi University) as part of Istanbu
l Technical University Mathematical Engineering Department Seminars\n\nLec
ture held in Fen-Edebiyat Fakültesi B1-326.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/MathEngSeminars/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ali Demirci (Istanbul Technical University)
DTSTART:20261202T113000Z
DTEND:20261202T123000Z
DTSTAMP:20261005T074425Z
UID:MathEngSeminars/8
DESCRIPTION:by Ali Demirci (Istanbul Technical University) as part of Ista
nbul Technical University Mathematical Engineering Department Seminars\n\n
Lecture held in Fen-Edebiyat Fakültesi B1-326.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/MathEngSeminars/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ferruh İlhan (Turkish-German University)
DTSTART:20261209T113000Z
DTEND:20261209T123000Z
DTSTAMP:20261005T074425Z
UID:MathEngSeminars/9
DESCRIPTION:by Ferruh İlhan (Turkish-German University) as part of Istanb
ul Technical University Mathematical Engineering Department Seminars\n\nLe
cture held in Fen-Edebiyat Fakültesi B1-326.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/MathEngSeminars/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Saliha Demirbüken (Gebze Technical University)
DTSTART:20261216T113000Z
DTEND:20261216T123000Z
DTSTAMP:20261005T074425Z
UID:MathEngSeminars/10
DESCRIPTION:by Saliha Demirbüken (Gebze Technical University) as part of
Istanbul Technical University Mathematical Engineering Department Seminars
\n\nLecture held in Fen-Edebiyat Fakültesi B1-326.\nAbstract: TBA\n
LOCATION:https://master.researchseminars.org/talk/MathEngSeminars/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fatma Zürnacı Yetiş (Istanbul Technical University)
DTSTART:20261223T113000Z
DTEND:20261223T123000Z
DTSTAMP:20261005T074425Z
UID:MathEngSeminars/11
DESCRIPTION:by Fatma Zürnacı Yetiş (Istanbul Technical University) as p
art of Istanbul Technical University Mathematical Engineering Department S
eminars\n\nLecture held in Fen-Edebiyat Fakültesi B1-326.\nAbstract: TBA\
n
LOCATION:https://master.researchseminars.org/talk/MathEngSeminars/11/
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