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Algebraic Number Theory

Master's level | 7.5 credits | Course code: MMA350
Spring 2020
50% Day
Göteborg
Period: 20 January 2020 - 22 March 2020
INSTRUCTION LANGUAGE: English
2) Only EU/EEA citizens and students with approved residence permit in Sweden can apply

About the Course

Algebraic number theory is the part of number theory that uses methods from algebra to answer questions about integers in general and number fields in particular. The subject has inspired the Langlands Program, which won the Abel Prize, and is fundamental to parts of algebraic geometry. An important concept is algebraic integers, which concern the relationship between ordinary integers and rational numbers. But in most number fields, unique factorization of integers as a product of primes does not work.

In this course you will study algebraic integers and fractional ideals which work as "ideal numbers" in number fields. You will also learn how different factorization of ideals and integers can be.

More Information

http://www.chalmers.se/sv/in...

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Course Syllabus

MMA350

Requirements and Selection

Requirements: General entry requirements and the equivalent of 90 credits in mathematics and basic Galois theory equivalent to parts of the course MMA310 Galois Theory. In Galois theory, the requirements are: knowledge of separable field extensions, the fundamental theorem of Galois theory, the existence of the algebraic extension of the rational numbers, and the embedding of number fields therein.

Selection: All eligible applicants who have applied before the deadline will be granted a place.

Tuition Fee

Application fee: 900 SEK
Full course cost: 14 550 SEK
First payment: 14 550 SEK

EU/EEA citizens, Swedish residence permit holders and exchange students do not pay fees. More information on: http://www.universityadmissions.se

Study Guidance

svl.math@gu.se, tel: 031-772 3505

Department

Department of Mathematical Sciences
41296 Göteborg

Visiting address: Chalmers Tvärgata 3

Phone: 0317721000

Page Manager: Pontus Sundén
Last update: 6/15/2018 12:12 PM

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Page Manager: Pontus Sundén|Last update: 10/16/2018
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Denna text är utskriven från följande webbsida:
http://utbildning.gu.se/education/courses-and-programmes/course_detail/?courseid=MMA350
Utskriftsdatum: 2019-11-21