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Now showing items 1-10 of 18

#### Monoid actions, their categorification and applications

(Bilkent University, 2017-01)

We study actions of monoids and monoidal categories, and their relations with (co)homology theories. We start by discussing actions of monoids via bi-actions. We show that there is a well-defined functorial reverse action ...

#### Concrete sheaves and continuous spaces

(Bilkent University, 2015)

In algebraic topology and differential geometry, most categories lack some good
”convenient” properties like being cartesian closed, having pullbacks, pushouts,
limits, colimits... We will introduce the notion of continuous ...

#### Monodromy groups of real Enriques surfaces

(Bilkent University, 2012-09)

In this thesis, we compute the monodromy groups of real Enriques surfaces.
The principal tools are the deformation classification of such surfaces and a modified
version of Donaldson’s trick, relating real Enriques ...

#### Fusion systems in group representation theory

(Bilkent University, 2013)

Results on the Mackey category MF corresponding to a fusion system F and
fusion systems defined on p-permutation algebras are our main concern.
In the first part, we give a new proof of semisimplicity of MF over C by ...

#### Obstructions for constructing g-equivariant fibrations

(Bilkent University, 2011)

#### Essays in collective decision making

(Bilkent University, 2014-10)

Four different problems in collective decision making are studied, all of which
are either formulated directly in a game-theoretical context or are concerned with
neighboring research areas.
The rst two problems fall ...

#### Piatetski-shapir prime number theorem and chebotarev density theorem

(Bilkent University, 2015-07)

Let K be a nite Galois extension of the eld Q of rational numbers. In this
thesis, we derive an asymptotic formula for the number of the Piatetski-Shapiro
primes not exceeding a given quantity for which the associated ...

#### 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 ...

#### Gibbs measures and phase transitions in various one-dimensional models

(Bilkent University, 2013)

In the thesis, limiting Gibbs measures of some one dimensional models are investigated
and various criterions for the uniqueness of limiting Gibbs states are considered.
The criterion for models with unique ground state ...

#### Bases in banach spaces of smooth functions on cantor-type sets

(Bilkent University, 2013)

We construct Schauder bases in the spaces of continuous functions C
p
(K) and in
the Whitney spaces E
p
(K) where K is a Cantor-type set. Here different Cantortype
sets are considered. In the construction, local ...