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Now showing items 1-10 of 181

#### Which algebraic K3 surfaces cover an enriques surface

(Bilkent University, 2018-09)

We partially determine the necessary and su cient conditions on the entries of
the intersection matrix of the transcendental lattice of algebraic K3 surface with
Picard number 18 (X) 19 for the surface to doubly ...

#### Analysis on self-similar sets

(Bilkent University, 2020-08)

Self-similar sets are one class of fractals that are invariant under geometric similarities. In this thesis, we study on self-similar sets. We give the deﬁnition of a self-similar set K and present the proof the existence ...

#### Lebesgue constants on cantor type sets

(Bilkent University, 2020-09)

The properties of compact subsets of the real line which are in the class of
Bounded Lebesgue Constants (BLC) are investigated. Knowing that any such
set must have 1-dimensional Lebesgue measure zero and nowhere density, ...

#### Deformations of some biset-theoretic categories

(Bilkent University, 2020-09)

We define the subgroup category, a category on the class of finite groups where the
morphisms are given by the subgroups of the direct products and the composition
is the star product. We also introduce some of its ...

#### The geometry of sheaves on sites

(Bilkent University, 2021-01)

In this work, we study doing geometry on sheaves on sites. Categories of our sites consist of objects that are building blocks for a given geometry. Generalized spaces then will be sheaves on these sort of sites. Next we ...

#### Cohomology of infinite groups realizing fusion systems

(Bilkent University, 2019-09)

Given a fusion system F defined on a p-group S, there exist infinite group
models, constructed by Leary and Stancu, and Robinson, that realize F. We
study these models when F is a fusion system of a finite group G. If ...

#### Generic initial ideals of modular polynomial invariants

(Bilkent University, 2020-07)

We study the generic initial ideals (gin) of certain ideals that arise in modular invariant theory. For all the cases where an explicit generating set is known, we calculate the generic initial ideal of the Hilbert ideal ...

#### Constructions and simplicity of the Mathieu groups

(Bilkent University, 2020-08)

Of the 26 sporadic finite simple groups, 5 were discovered by E. Mathieu in 1861
and 1873 [1], [2]. These Mathieu groups are the focus of this thesis, where we will
prove their simplicity using elementary methods. E. ...

#### Extremal problems on Bergman spaces A¹α and Besov spaces

(Bilkent University, 2022-05)

Extremal problems in different function spaces have long been investigated. Ferguson provides a method, using Bergman projections, to solve certain types of extremal problems in Bergman spaces for 1 < p < ∞ in his work ...

#### Haar systems on locally compact groupoids

(Bilkent University, 2022-07)

Haar systems are generalizations of Haar measures on groups to groupoids. Naturally, important research directions in the field try to generalize the well known existence of a Haar measure on a locally compact group to the ...