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BEGIN:VEVENT
SUMMARY:Nil Şahin (Bilkent University)
DTSTART:20260219T124000Z
DTEND:20260219T133000Z
DTSTAMP:20260415T002631Z
UID:METU_Math/1
DESCRIPTION:Title: Numerical Semigroups: From the Frobenius Coin Problem to Hilbert
Functions\nby Nil Şahin (Bilkent University) as part of METU Mathemat
ics General Seminar\n\nLecture held in Gündüz İkeda Seminar Room\, Math
ematics Department.\n\nAbstract\nThe study of numerical semigroups finds i
ts classical roots in the "Frobenius Coin Problem"\, famously popularized
by J.J. Sylvester in the late 19th century. Sylvester’s initial question
"determining the largest integer that cannot be expressed as a non-negati
ve integer linear combination of a given set of coprime integers" laid the
groundwork for what is now a rich intersection of combinatorics and commu
tative algebra.\n\nThrough the construction of semigroup rings\, these com
binatorial objects provide a natural framework for studying the geometric
and algebraic properties of monomial curves. In particular\, the link betw
een the numerical semigroup and the Hilbert function of its associated gra
ded ring has become a focal point of recent research. Characterizing numer
ical functions that might be Hilbert functions of one-dimensional Cohen-Ma
caulay local rings is an open question.\n\nThere is a conjecture by Judith
Sally stating that the "Hilbert function of a one-dimensional Cohen-Macau
lay local ring with small enough embedding dimension is non-decreasing". I
n this talk\, we will focus on 4-generated symmetric and pseudo-symmetric
monomial curves. We will demonstrate that 4-generated pseudo-symmetric mon
omial curves satisfy Sally’s conjecture.\n
LOCATION:https://stable.researchseminars.org/talk/METU_Math/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Haydar Göral (IZTECH)
DTSTART:20260226T124000Z
DTEND:20260226T133000Z
DTSTAMP:20260415T002631Z
UID:METU_Math/2
DESCRIPTION:Title: Counting Arithmetic Progressions in Finite Rings\nby Haydar G
öral (IZTECH) as part of METU Mathematics General Seminar\n\n\nAbstract\n
Finding arbitrarily long arithmetic progressions in certain subsets of the
integers has become one of the most important problems in mathematics ove
r the last century. One of the most famous results in this area was proved
by Szemerédi in 1975\, and it states that every subset of the positive i
ntegers with positive upper density contains arbitrarily long arithmetic p
rogression. In this talk\, we will discuss some results concerning the num
ber of 3-term arithmetic progressions in certain subsets of finite rings u
sing finite Fourier analysis.\n\nInterested participants may send an email
to Oğuz Şavk to receive the Google Meet link.\n
LOCATION:https://stable.researchseminars.org/talk/METU_Math/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Deniz Yılmaz (Bilkent University)
DTSTART:20260305T124000Z
DTEND:20260305T133000Z
DTSTAMP:20260415T002631Z
UID:METU_Math/3
DESCRIPTION:Title: A Categorical Perspective on Representation Theory\nby Deniz
Yılmaz (Bilkent University) as part of METU Mathematics General Seminar\n
\nLecture held in Gündüz İkeda Seminar Room\, Mathematics Department.\n
\nAbstract\nGroups arise naturally in the study of symmetry\, and represen
tation theory studies\ngroups through linear algebra. In this talk\, we wi
ll introduce a categorical framework in\nwhich finite groups appear as obj
ects and the morphisms between them encode natural\noperations from repres
entation theory. After introducing the classical theory of bisets and\nbis
et functors\, we will discuss two related refinements: diagonal $p$-permut
ation functors\,\nobtained from suitable bimodules\, and $p$-bifree biset
functors\, obtained by restricting to a\ndistinguished class of bisets. Th
ese constructions connect naturally with current questions\nin modular rep
resentation theory\, especially local-global conjectures.\n
LOCATION:https://stable.researchseminars.org/talk/METU_Math/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cihan Bahran (Bilkent University)
DTSTART:20260312T124000Z
DTEND:20260312T133000Z
DTSTAMP:20260415T002631Z
UID:METU_Math/4
DESCRIPTION:Title: Character Polynomials for Symmetric Groups and FI-modules\nby
Cihan Bahran (Bilkent University) as part of METU Mathematics General Sem
inar\n\nLecture held in Gündüz İkeda Seminar Room\, Mathematics Departm
ent.\n\nAbstract\nFor every positive integer $r$\, the number of cycles of
length $r$ in the cycle decomposition of a permutation is a class functio
n $X_r$ which is simultaneously defined on every symmetric group. A polyno
mial in terms of $X_r$'s is called a character polynomial\, describing a s
equence of (virtual) $S_n$ representations for every $n$. In this talk I w
ill discuss how such sequences arise in particular examples of interest an
d time permitting explain how the theory of FI-modules provides a general
framework for their occurrence.\n
LOCATION:https://stable.researchseminars.org/talk/METU_Math/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Holiday (No Seminar)
DTSTART:20260319T124000Z
DTEND:20260319T133000Z
DTSTAMP:20260415T002631Z
UID:METU_Math/5
DESCRIPTION:by Holiday (No Seminar) as part of METU Mathematics General Se
minar\n\nLecture held in Ikeda Seminar Room\, Mathematics Department.\nAbs
tract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/METU_Math/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kâzım İlhan İkeda (Boğaziçi University & Feza Gürsey Center
for Physics and Mathematics)
DTSTART:20260326T124000Z
DTEND:20260326T133000Z
DTSTAMP:20260415T002631Z
UID:METU_Math/6
DESCRIPTION:Title: A Statistical Approach to the Global Artin Reciprocity Map: An Un
conditional Non-abelian Global Class Field Theory\nby Kâzım İlhan
İkeda (Boğaziçi University & Feza Gürsey Center for Physics and Mathem
atics) as part of METU Mathematics General Seminar\n\nLecture held in Gün
düz İkeda Seminar Room\, Mathematics Department.\n\nAbstract\nIn this ta
lk\, borrowing tools from statistics\, we shall first construct\, followin
g T. Ono\, an unconditional non-Abelian generalization of the global Artin
reciprocity map for any finite Galois extension $\\mathbf{E}$ of a global
field $\\mathbf{F}$. This theory has deep connections with the Langlands
reciprocity principle\, while the latter is still conjectural. In the seco
nd part of the talk\, we plan to discuss some properties of the Ono recipr
ocity map for $\\mathbf{E}/\\mathbf{F}$\, and construct the (absolute) Ono
reciprocity map for $\\mathbf{F}^{sep}/\\mathbf{F}$. Finally\, we plan to
give a description of the maximal unramified extension of $\\mathbf{F}$ i
nside $\\mathbf{F}^{sep}$\, which is closely related with the Golod-Shafar
evich Theory. This is joint work with my PhD student Serkan Kızılavuz (E
skişehir Technical University).\n
LOCATION:https://stable.researchseminars.org/talk/METU_Math/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tülin Altunöz (Başkent University)
DTSTART:20260402T124000Z
DTEND:20260402T133000Z
DTSTAMP:20260415T002631Z
UID:METU_Math/7
DESCRIPTION:Title: Lefschetz Fibrations with Arbitrary Slope\nby Tülin Altunöz
(Başkent University) as part of METU Mathematics General Seminar\n\nLect
ure held in Gündüz İkeda Seminar Room\, Mathematics Department.\n\nAbst
ract\nIn joint work with Adalet Çengel\, we proved that for any real numb
er $r \\in (2\, 8)$\, there exists a genus-$g$ Lefschetz fibration over th
e two-sphere with large enough genus-$g$ having the slope arbitrarily clos
e to $r$. In this talk\, I am planning to explain this work.\n
LOCATION:https://stable.researchseminars.org/talk/METU_Math/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Todor Tsankov (UCB Lyon 1)
DTSTART:20260409T124000Z
DTEND:20260409T133000Z
DTSTAMP:20260415T002631Z
UID:METU_Math/8
DESCRIPTION:Title: Comeager Isomorphism Classes in Zero-dimensional Dynamics\nby
Todor Tsankov (UCB Lyon 1) as part of METU Mathematics General Seminar\n\
nLecture held in Zoom (Meeting ID: 870 2331 0873).\n\nAbstract\nIt is ofte
n possible to parametrize a given class of dynamical systems by elements o
f a Polish space and then it becomes natural to ask what properties hold "
generically"\, i.e.\, for a comeager set of systems. The most extreme situ
ation is when there is a single comeager isomorphism class: that is\, the
generic properties are captured by a single system. I will survey what is
known about this problem in zero-dimensional topological dynamics\, that i
s\, countable group actions on the Cantor space. I will focus on some rece
nt joint work with Michal Doucha and Julien Melleray concerning minimal sy
stems.\n\nFor the Zoom meeting passcode\, please contact the co-organizer\
, Oğuz Şavk.\n
LOCATION:https://stable.researchseminars.org/talk/METU_Math/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Holiday (No Seminar)
DTSTART:20260423T124000Z
DTEND:20260423T133000Z
DTSTAMP:20260415T002631Z
UID:METU_Math/9
DESCRIPTION:by Holiday (No Seminar) as part of METU Mathematics General Se
minar\n\nLecture held in Ikeda Seminar Room\, Mathematics Department.\nAbs
tract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/METU_Math/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ödül Tetik (University of Vienna)
DTSTART:20260430T124000Z
DTEND:20260430T133000Z
DTSTAMP:20260415T002631Z
UID:METU_Math/10
DESCRIPTION:by Ödül Tetik (University of Vienna) as part of METU Mathema
tics General Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/METU_Math/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:András Stipsicz (Alfréd Rényi Institute of Mathematics)
DTSTART:20260508T124000Z
DTEND:20260508T133000Z
DTSTAMP:20260415T002631Z
UID:METU_Math/11
DESCRIPTION:Title: Arf Lectures 2026: Exotica in Dimension Four\nby András Sti
psicz (Alfréd Rényi Institute of Mathematics) as part of METU Mathematic
s General Seminar\n\nLecture held in Ikeda Seminar Room\, Mathematics Depa
rtment.\n\nAbstract\nFour-dimensional spaces behave very differently than
spaces of any other dimension. This ‘exotic’ behavior was unrevealed
by work of Freedman and Donaldson in the early 80’s\, and led to severa
l surprising and interesting discoveries since then. In the lecture we wil
l concentrate on exotica on ‘definite’ four-manifolds\, and indicate
their relevance in the ’smooth four-dimensional Poincaré conjecture’
the last open question in this circle of problems regarding the topology
of spheres.\n
LOCATION:https://stable.researchseminars.org/talk/METU_Math/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Holiday (No Seminar)
DTSTART:20260528T124000Z
DTEND:20260528T133000Z
DTSTAMP:20260415T002631Z
UID:METU_Math/12
DESCRIPTION:by Holiday (No Seminar) as part of METU Mathematics General Se
minar\n\nLecture held in Ikeda Seminar Room\, Mathematics Department.\nAbs
tract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/METU_Math/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bülent Tosun (University of Alabama)
DTSTART:20260521T124000Z
DTEND:20260521T133000Z
DTSTAMP:20260415T002631Z
UID:METU_Math/13
DESCRIPTION:by Bülent Tosun (University of Alabama) as part of METU Mathe
matics General Seminar\n\nLecture held in Gündüz İkeda Seminar Room\, M
athematics Department.\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/METU_Math/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:M. Levent Doğan (Ruhr University Bochum)
DTSTART:20260514T124000Z
DTEND:20260514T133000Z
DTSTAMP:20260415T002631Z
UID:METU_Math/14
DESCRIPTION:by M. Levent Doğan (Ruhr University Bochum) as part of METU M
athematics General Seminar\n\nLecture held in Gündüz İkeda Seminar Room
\, Mathematics Department.\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/METU_Math/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Özlem Ejder (Koç University)
DTSTART:20260604T124000Z
DTEND:20260604T133000Z
DTSTAMP:20260415T002631Z
UID:METU_Math/15
DESCRIPTION:by Özlem Ejder (Koç University) as part of METU Mathematics
General Seminar\n\nLecture held in Gündüz İkeda Seminar Room\, Mathemat
ics Department.\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/METU_Math/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erman Işık (Bilkent University)
DTSTART:20260416T124000Z
DTEND:20260416T133000Z
DTSTAMP:20260415T002631Z
UID:METU_Math/16
DESCRIPTION:Title: The Growth of Tate-Shafarevich Groups of $p$-supersingular Ellip
tic Curves over Anticyclotomic $\\mathbb{Z}_p$-extensions at Inert Primes<
/a>\nby Erman Işık (Bilkent University) as part of METU Mathematics Gene
ral Seminar\n\nLecture held in Gündüz İkeda Seminar Room\, Mathematics
Department.\n\nAbstract\nIn this talk\, we will discuss the asymptotic gro
wth of both the Mordell-Weil ranks and the Tate–Shafarevich groups for a
n elliptic curve $E$ defined over the rational numbers\, focusing on its b
ehaviour along the anticyclotomic $\\mathbb{Z}_p$-extension of an imaginar
y quadratic $K$. Here\, $p$ is a prime at which $E$ has good supersingular
reduction and is inert in $K$. After reviewing the definition and key pro
perties of the plus and minus Selmer groups in Iwasawa theory\, we explain
how these objects can be used to extract arithmetic information about the
elliptic curve $E$.\n\nThe seminar will be also streamed on Zoom. For th
e meeting information\, please contact the co-organizer\, Oğuz Şavk.\n
LOCATION:https://stable.researchseminars.org/talk/METU_Math/16/
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