Hiroshima University Syllabus

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Japanese
Academic Year 2023Year School/Graduate School Graduate School of Advanced Science and Engineering (Master's Course) Division of Advanced Science and Engineering Mathematics Program
Lecture Code WSA71001 Subject Classification Specialized Education
Subject Name 数学特別講義(数論力学系入門)
Subject Name
(Katakana)
スウガクトクベツコウギ
Subject Name in
English
Special Lectures in Mathematics
Instructor MATSUZAWA YOSUKE,SHIMADA ICHIROU
Instructor
(Katakana)
マツザワ ヨウスケ,シマダ イチロウ
Campus Higashi-Hiroshima Semester/Term 1st-Year,  Second Semester,  3Term
Days, Periods, and Classrooms (3T) Inte
Lesson Style Lecture Lesson Style
(More Details)
 
Mainly lectures, blackboard used.
Face-to-face or online, depending on the situation.  
Credits 1.0 Class Hours/Week   Language of Instruction J : Japanese
Course Level 5 : Graduate Basic
Course Area(Area) 25 : Science and Technology
Course Area(Discipline) 01 : Mathematics/Statistics
Eligible Students
Keywords Height function, Algebraic varieties, Dynamical degrees, Self-maps. 
Special Subject for Teacher Education   Special Subject  
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students)
 
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students)
 
Class Objectives
/Class Outline
I will introduce height functions, which is a tool
to measure the arithmetic complexity of rational points,
and discuss several problems in arithmetic dynamics where height functions
play an important role. 
Class Schedule 1 Absolute values and height functions
2 Canonical height functions
3 Dynamical degrees and Kawaguchi-Silverman conjecture
4 Integral points in orbits
5 Several problems in arithmetic dynamics
 
Text/Reference
Books,etc.
No specific textbooks.  
PC or AV used in
Class,etc.
 
(More Details)  
Learning techniques to be incorporated  
Suggestions on
Preparation and
Review
It would be helpful if you have some knowledge about
absolute values on number fields, although I do not assume you do.
Deepen your understanding referring to the lecture notes.
 
Requirements  
Grading Method Grading will be based on the students' efforts during the lecture and reports.
I will present some problems during the lecture. 
Practical Experience  
Summary of Practical Experience and Class Contents based on it  
Message  
Other   
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. 
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