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BEGIN:VEVENT
SUMMARY:Nil Şahin (Bilkent University)
DTSTART:20260219T124000Z
DTEND:20260219T133000Z
DTSTAMP:20260414T051502Z
UID:METU_Math/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/METU_Math/1/
 ">Numerical Semigroups: From the Frobenius Coin Problem to Hilbert Functio
 ns</a>\nby Nil Şahin (Bilkent University) as part of METU Mathematics Gen
 eral Seminar\n\nLecture held in Gündüz İkeda Seminar Room\, Mathematics
  Department.\n\nAbstract\nThe study of numerical semigroups finds its clas
 sical roots in the "Frobenius Coin Problem"\, famously popularized by J.J.
  Sylvester in the late 19th century. Sylvester’s initial question "deter
 mining the largest integer that cannot be expressed as a non-negative inte
 ger linear combination of a given set of coprime integers" laid the ground
 work for what is now a rich intersection of combinatorics and commutative 
 algebra.\n\nThrough the construction of semigroup rings\, these combinator
 ial objects provide a natural framework for studying the geometric and alg
 ebraic properties of monomial curves. In particular\, the link between the
  numerical semigroup and the Hilbert function of its associated graded rin
 g has become a focal point of recent research. Characterizing numerical fu
 nctions that might be Hilbert functions of one-dimensional Cohen-Macaulay 
 local rings is an open question.\n\nThere is a conjecture by Judith Sally 
 stating that the "Hilbert function of a one-dimensional Cohen-Macaulay loc
 al ring with small enough embedding dimension is non-decreasing". In this 
 talk\, we will focus on 4-generated symmetric and pseudo-symmetric monomia
 l curves. We will demonstrate that 4-generated pseudo-symmetric monomial c
 urves satisfy Sally’s conjecture.\n
LOCATION:https://researchseminars.org/talk/METU_Math/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Haydar Göral (IZTECH)
DTSTART:20260226T124000Z
DTEND:20260226T133000Z
DTSTAMP:20260414T051502Z
UID:METU_Math/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/METU_Math/2/
 ">Counting Arithmetic Progressions in Finite Rings</a>\nby Haydar Göral (
 IZTECH) as part of METU Mathematics General Seminar\n\n\nAbstract\nFinding
  arbitrarily long arithmetic progressions in certain subsets of the intege
 rs has become one of the most important problems in mathematics over the l
 ast century. One of the most famous results in this area was proved by Sze
 merédi in 1975\, and it states that every subset of the positive integers
  with positive upper density contains arbitrarily long arithmetic progress
 ion. In this talk\, we will discuss some results concerning the number of 
 3-term arithmetic progressions in certain subsets of finite rings using fi
 nite Fourier analysis.\n\nInterested participants may send an email to Oğ
 uz Şavk to receive the Google Meet link.\n
LOCATION:https://researchseminars.org/talk/METU_Math/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Deniz Yılmaz (Bilkent University)
DTSTART:20260305T124000Z
DTEND:20260305T133000Z
DTSTAMP:20260414T051502Z
UID:METU_Math/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/METU_Math/3/
 ">A Categorical Perspective on Representation Theory</a>\nby Deniz Yılmaz
  (Bilkent University) as part of METU Mathematics General Seminar\n\nLectu
 re held in Gündüz İkeda Seminar Room\, Mathematics Department.\n\nAbstr
 act\nGroups arise naturally in the study of symmetry\, and representation 
 theory studies\ngroups through linear algebra. In this talk\, we will intr
 oduce a categorical framework in\nwhich finite groups appear as objects an
 d the morphisms between them encode natural\noperations from representatio
 n theory. After introducing the classical theory of bisets and\nbiset func
 tors\, we will discuss two related refinements: diagonal $p$-permutation f
 unctors\,\nobtained from suitable bimodules\, and $p$-bifree biset functor
 s\, obtained by restricting to a\ndistinguished class of bisets. These con
 structions connect naturally with current questions\nin modular representa
 tion theory\, especially local-global conjectures.\n
LOCATION:https://researchseminars.org/talk/METU_Math/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cihan Bahran (Bilkent University)
DTSTART:20260312T124000Z
DTEND:20260312T133000Z
DTSTAMP:20260414T051502Z
UID:METU_Math/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/METU_Math/4/
 ">Character Polynomials for Symmetric Groups and FI-modules</a>\nby Cihan 
 Bahran (Bilkent University) as part of METU Mathematics General Seminar\n\
 nLecture held in Gündüz İkeda Seminar Room\, Mathematics Department.\n\
 nAbstract\nFor every positive integer $r$\, the number of cycles of length
  $r$ in the cycle decomposition of a permutation is a class function $X_r$
  which is simultaneously defined on every symmetric group. A polynomial in
  terms of $X_r$'s is called a character polynomial\, describing a sequence
  of (virtual) $S_n$ representations for every $n$. In this talk I will dis
 cuss how such sequences arise in particular examples of interest and time 
 permitting explain how the theory of FI-modules provides a general framewo
 rk for their occurrence.\n
LOCATION:https://researchseminars.org/talk/METU_Math/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Holiday (No Seminar)
DTSTART:20260319T124000Z
DTEND:20260319T133000Z
DTSTAMP:20260414T051502Z
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://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:20260414T051502Z
UID:METU_Math/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/METU_Math/6/
 ">A Statistical Approach to the Global Artin Reciprocity Map: An Unconditi
 onal Non-abelian Global Class Field Theory</a>\nby Kâzım İlhan İkeda (
 Boğaziçi University & Feza Gürsey Center for Physics and Mathematics) a
 s part of METU Mathematics General Seminar\n\nLecture held in Gündüz İk
 eda Seminar Room\, Mathematics Department.\n\nAbstract\nIn this talk\, bor
 rowing tools from statistics\, we shall first construct\, following T. Ono
 \, an unconditional non-Abelian generalization of the global Artin recipro
 city map for any finite Galois extension $\\mathbf{E}$ of a global field $
 \\mathbf{F}$. This theory has deep connections with the Langlands reciproc
 ity principle\, while the latter is still conjectural. In the second part 
 of the talk\, we plan to discuss some properties of the Ono reciprocity ma
 p for $\\mathbf{E}/\\mathbf{F}$\, and construct the (absolute) Ono recipro
 city map for $\\mathbf{F}^{sep}/\\mathbf{F}$. Finally\, we plan to give a 
 description of the maximal unramified extension of $\\mathbf{F}$ inside $\
 \mathbf{F}^{sep}$\, which is closely related with the Golod-Shafarevich Th
 eory. This is joint work with my PhD student Serkan Kızılavuz (Eskişehi
 r Technical University).\n
LOCATION:https://researchseminars.org/talk/METU_Math/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tülin Altunöz (Başkent University)
DTSTART:20260402T124000Z
DTEND:20260402T133000Z
DTSTAMP:20260414T051502Z
UID:METU_Math/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/METU_Math/7/
 ">Lefschetz Fibrations with Arbitrary Slope</a>\nby Tülin Altunöz (Başk
 ent University) as part of METU Mathematics General Seminar\n\nLecture hel
 d in Gündüz İkeda Seminar Room\, Mathematics Department.\n\nAbstract\nI
 n joint work with Adalet Çengel\, we proved that for any real number $r \
 \in (2\, 8)$\, there exists a genus-$g$ Lefschetz fibration over the two-s
 phere with large enough genus-$g$ having the slope arbitrarily close to $r
 $. In this talk\, I am planning to explain this work.\n
LOCATION:https://researchseminars.org/talk/METU_Math/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Todor Tsankov (UCB Lyon 1)
DTSTART:20260409T124000Z
DTEND:20260409T133000Z
DTSTAMP:20260414T051502Z
UID:METU_Math/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/METU_Math/8/
 ">Comeager Isomorphism Classes in Zero-dimensional Dynamics</a>\nby Todor 
 Tsankov (UCB Lyon 1) as part of METU Mathematics General Seminar\n\nLectur
 e held in Zoom (Meeting ID: 870 2331 0873).\n\nAbstract\nIt is often possi
 ble to parametrize a given class of dynamical systems by elements of a Pol
 ish space and then it becomes natural to ask what properties hold "generic
 ally"\, i.e.\, for a comeager set of systems. The most extreme situation i
 s 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 a
 bout this problem in zero-dimensional topological dynamics\, that is\, cou
 ntable group actions on the Cantor space. I will focus on some recent join
 t work with Michal Doucha and Julien Melleray concerning minimal systems.\
 n\nFor the Zoom meeting passcode\, please contact the co-organizer\, Oğuz
  Şavk.\n
LOCATION:https://researchseminars.org/talk/METU_Math/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Holiday (No Seminar)
DTSTART:20260423T124000Z
DTEND:20260423T133000Z
DTSTAMP:20260414T051502Z
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://researchseminars.org/talk/METU_Math/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ödül Tetik (University of Vienna)
DTSTART:20260430T124000Z
DTEND:20260430T133000Z
DTSTAMP:20260414T051502Z
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://researchseminars.org/talk/METU_Math/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:András Stipsicz (Alfréd Rényi Institute of Mathematics)
DTSTART:20260508T124000Z
DTEND:20260508T133000Z
DTSTAMP:20260414T051502Z
UID:METU_Math/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/METU_Math/11
 /">Arf Lectures 2026: Exotica in Dimension Four</a>\nby András Stipsicz (
 Alfréd Rényi Institute of Mathematics) as part of METU Mathematics Gener
 al Seminar\n\nLecture held in Ikeda Seminar Room\, Mathematics Department.
 \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 several surpr
 ising and interesting discoveries since then. In the lecture we will conce
 ntrate on exotica on ‘definite’  four-manifolds\, and indicate their r
 elevance in the ’smooth  four-dimensional Poincaré conjecture’ the la
 st open question in this  circle of problems regarding the topology of sph
 eres.\n
LOCATION:https://researchseminars.org/talk/METU_Math/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Holiday (No Seminar)
DTSTART:20260528T124000Z
DTEND:20260528T133000Z
DTSTAMP:20260414T051502Z
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://researchseminars.org/talk/METU_Math/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bülent Tosun (University of Alabama)
DTSTART:20260521T124000Z
DTEND:20260521T133000Z
DTSTAMP:20260414T051502Z
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://researchseminars.org/talk/METU_Math/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:M. Levent Doğan (Ruhr University Bochum)
DTSTART:20260514T124000Z
DTEND:20260514T133000Z
DTSTAMP:20260414T051502Z
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://researchseminars.org/talk/METU_Math/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Özlem Ejder (Koç University)
DTSTART:20260604T124000Z
DTEND:20260604T133000Z
DTSTAMP:20260414T051502Z
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://researchseminars.org/talk/METU_Math/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erman Işık (Bilkent University)
DTSTART:20260416T124000Z
DTEND:20260416T133000Z
DTSTAMP:20260414T051502Z
UID:METU_Math/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/METU_Math/16
 /">The Growth of Tate-Shafarevich Groups of $p$-supersingular Elliptic Cur
 ves over Anticyclotomic $\\mathbb{Z}_p$-extensions at Inert Primes</a>\nby
  Erman Işık (Bilkent University) as part of METU Mathematics General Sem
 inar\n\nLecture held in Gündüz İkeda Seminar Room\, Mathematics Departm
 ent.\n\nAbstract\nIn this talk\, we will discuss the asymptotic growth of 
 both the Mordell-Weil ranks and the Tate–Shafarevich groups for an ellip
 tic curve $E$ defined over the rational numbers\, focusing on its behaviou
 r along the anticyclotomic $\\mathbb{Z}_p$-extension of an imaginary quadr
 atic $K$. Here\, $p$ is a prime at which $E$ has good supersingular reduct
 ion and is inert in $K$. After reviewing the definition and key properties
  of the plus and minus Selmer groups in Iwasawa theory\, we explain how th
 ese objects can be used to extract arithmetic information about the ellipt
 ic curve $E$.\n\nThe seminar will be also streamed on Zoom.  For the meeti
 ng information\, please contact the co-organizer\, Oğuz Şavk.\n
LOCATION:https://researchseminars.org/talk/METU_Math/16/
END:VEVENT
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