0x010088F6312065A70A44B630A6848498EAD80093CFEAFE161DC94D83C7C5C9A5A748B8

This is not relevant, as there are no previous comments.

This course is a topics course in algebraic topology. That means that it is run semi-reguarly, with a different topic (and perhaps format) as to the last time. As such, it is hard to compare to the previous time it was run (which does also not seem to appear in Kasper; I think it was run as MA8403). So I will only comment on the goals of the course: 1. Knowledge. The student has knowledge of advanced topics in algebraic topology.2. Skills. The student is able to apply his or her knowledge of algebraic topology to formulate and solve problems of a geometric-topological nature. The course covered equiviarant homotopy. I am confident that the students who took the course now have the ability to attend a research level talk on equivariant homotopy theory, or begin to read modern papers featuring equivariant homotopy. In fact, all students who took the course for credit were required to read, and give a talk, on a research paper in equivariant homotopy. All students did this successfully. I did notice a large difference in the quality between the bachelor/master students who took the course, and the PhD students. This may be something for lecturers in the future to be aware of.

Due to the small size of the class, there was no reference group. Instead, I met with the students 3 times during the semester to get feedback. The main comments were as follows:<ul><li>The students appreciated having lectures recorded.</li><li>The students appreciated having typed lecture notes. </li><li>The students liked that we spend an hour each week on exercises. </li><li>The majority of the students said that the course was difficult, but not unreasonably so, and as it was a PhD level course, this was expected. </li></ul>

NTNU:TIA:REST

Institutt for matematiske fag

Department of Mathematical Sciences

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Engelsk

Norsk

Anbefalte forkunnskaper

Avhenger av emnets spesifikke tema, men emnet vil vanligvis i det minste bygge på TMA4190 Introduksjon til topologi, MA3403 Algebraisk topologi 1, og MA3408 Algebraisk topologi 2.

Faglig innhold

Emnet tar sikte på å gi en solid bakgrunn for studier i topologi, samt videreutvikle de geometriske ideer og algebraiske metoder. Emnet gir støtte for studier innen relaterte emner i algebra og geometri. Emner som kan behandles er produkter og potens operasjoner, K-teori, bordismeteori og mange andre. 

Kursmateriell

Læringsutbytte

1. Kunnskap. Studenten kjenner videregående emner innen algebraisk topologi. 2. Ferdigheter. Studenten kan anvende sin kunnskap i algebraisk topologi til å formulere og løse problemer av geometrisk-topologisk natur.

Læringsformer og aktiviteter

Læringsformer og aktiviter kan avhenge av foreleser. Emnet kan gis på engelsk. Dersom det melder seg få studenter, vil kurset kun gis som ledet selvstudium.

Videregående algebraisk topologi

Matematikk

Matematiske fag - doktorgrad (ph.d.)

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Videregående algebraisk topologi - MA8406