Akademik Dersler - Tanıtım


Code - Course Title	MAT637 - Fuchsian Groups
Course Type	Elective Courses
Language of Instruction	Türkçe
Laboratory + Practice	3+0
ECTS	7.5
Course Instructor(s)	PROFESÖR ALİ DENİZ
Mode of Delivery	The mode of delivery of this course is face to face.
Prerequisites	There is no pre-requisite for this course.
Courses Recomended	Abstract Algebra 1-2, Metric and Topological Spaces, Hyperbolic Geometry
Recommended Reading List	A. F. Beardon, The Geometry of Discrete Groups, Springer 1983.
Assessment methods and criteria	Written Exam
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Hyperbolic Geometry, Hyperbolic metric, geodesics
Week - 2	Isometries of hyperbolic plane
Week - 3	Hyperbolic Area and The Gauss Bonnet Formula
Week - 4	Definition of Fuchsian group and some examples
Week - 5	The group PSL(2,R)
Week - 6	Discrete groups
Week - 7	Algebraic properties of Fuchsian groups
Week - 8	Fundamental region of a Fuchsian group
Week - 9	Dirichlet region and the construction of Dirichlet region for a Fuchsian group
Week - 10	Isometric circles
Week - 11	Ford fundamental region
Week - 12	The geometry of Fuchsian groups
Week - 13	Geometrically finite Fuchsian groups
Week - 14	Co-compakt Fuchsian Groups

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
Toplam (%)		0