There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.
Nikolai Ivanovich Lobachevsky
YAKLAŞAN SEMİNERLER
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Yozgat Bozok University Mathematics Department General Seminars
Matematik ve Fiziğin Görkemli Buluşması: Maxwell Denklemleri.
Muharrem Kırak, Yozgat Bozok Üniversitesi
Maxwell denklemleri Lorentz kuvveti yasası ile birlikte klasik elektrodinamik, klasik optik ve elektrik devrelerine kaynak oluşturan bir dizi kısmi türevli (diferansiyel) denklemlerden oluşur. Bu alanlar modern elektrik ve haberleşme teknolojilerinin temelini oluşturmaktadır. Bu seminerde Maxwell denklemleri matematik ve fizik bakış açısından el...Detay »
Middle East Technical University Institute of Applied Mathematics Seminars
BSDE with Singular Terminal Conditions
Alexandre Popier, Department of Mathematics, Le Mans University
In this talk, we first motivate the use of singular terminal conditions: final trace of the solution of some semilinear PDEs or optimal control problems with constraints. Then we present some results concerning the existence of minimal supersolutions for a wide class of generators. Finally, we explain how the continuity problem (continuity of the solution at...Detay »
Bilkent University Algebra Seminars
Unital biinvariant bases in source algebras of blocks
Matthew Gelvin, Bilkent University
Every finite-dimensional algebra over an infinite field has a basis consisting of units. If the algebra is interior for a finite p-group D, we say that it is a bipermutation D-algebra if there is a basis that is invariant under left and right D-multiplication. Such a basis may be viewed as a (D, D)-biset, and if the basis can be chosen to consist of units, i...Detay »
Boğaziçi University Mathematics Colloquium
Invariants of Hyperbolic 3-manifolds in Relative Group Homology
José Luis Cisneros-Molina, Mathematics Institute, UNAM
Let G be a discrete group. It is well known that the homology groups of G have both algebraic and topological definitions. Now consider a subgroup H of G. In the literature there are two versions of relative homology groups for the pair (G,H), the theory by Adamson generalizes in a natural way the algebraic definition, while the theory by Takasu generalizes ...Detay »
Sabancı University Algebra Seminars
On nilpotent automorphism groups of function fields
Burçin Güneş, Sabancı University
We study the automorphisms of a function field of genus g ≥ 2 over an algebraically closed field of positive characteristic p. More precisely, we show that the order of a nilpotent subgroup G of its automorphism group is bounded by 16(g − 1) when G is not a p-group. We show that if |G| = 16(g − 1), then g − 1 is a power of 2. Furthermore, we prov...Detay »
İstanbul University Mathematics Department Seminars
Asymptotic Generalized Fermat's Last Theorem over Number Fields
Yasemin Kara, Boğaziçi Üniversitesi
Recent work of Freitas and Siksek showed that an asymptotic version of Fermat’s Last Theorem (FLT) holds for many totally real fields. This result was extended by Deconinck to the generalized Fermat equation of the form Ax^p + By^p + Cz^p = 0, where A, B, C are odd integers belonging to a totally real field. Later Şengün and Siksek showed that the asympt...Detay »
Mimar Sinan Fine Arts University Mathematics Department General Seminars
Computational aspects and equations of the multi-Rees algebras
Babak Jabarnejad, University of Arkansas, Fayetteville
The Rees algebra $R[It]$ plays an important role in commutative algebra because it encodes the asymptotic behavior of the ideal I. An important problem in the theory of Rees algebras is to determine defining equations of the Rees algebras. More generally, given any ideals $I_1,\dots,I_r$ in a ring $R$, one would like to describe defining equations of the mul...Detay »
Çankaya University Mathematics Department Seminars
State dependent and Time varying Nonlinearity in Unit root testing (non-convergent stochastic differ ...
Tolga Omay, Atılım Üniversitesi
This study explores the methods to de-trend the smooth structural break processes while conducting the unit root tests. Two most commonly applied approaches for modeling smooth structural breaks namely the smooth transition and the Fourier functions are considered. We perform a sequence of power comparisons among alternative unit root tests that accommodate ...Detay »
Gebze Technical University Mathematics Department General Seminars
Classification Problem for the Linearization of Nonlinear Differential Equations
Saadet Özer, Istanbul Technical University
If a given set of differential equations involves some arbitrary parameters of independent, dependent variables and their derivatives, we have a “family of equations”. Almost all equations in classical physics can be written as family of equations as the behavior of certain materials differ by some parameters which express the physical properties of the...Detay »
Bilkent University Analysis Seminars
Distance of the set of commutators to the identity
Aurelian Gheondea, Bilkent Üniversitesi
According to a classical theorem of Wintner and Wielandt, the equation [A,B]=I does not have any solution A and B in the algebra of linear bounded operators B(H) on a Hilbert space H, where [A,B]=AB-BA denotes the commutator of A and B, and I denotes the identity operator on H. We present a survey of known results for the estimation of the distance from the ...Detay »
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