Topic outline

  • General

    Teaching staff:

    Alexander Engström (Lectures on Thursdays and Fridays)
    Milo Orlich (Exercise sessions on Mondays) <milo.orlich@aalto.fi>

    Zoom link: https://aalto.zoom.us/j/63586423480

    The lectures will be online. 

    The exercise sessions will be held in person in lecture hall Y405 and can be followed on Zoom at the same time. Remember to wear a face mask if you wish to attend the exercise sessions in person. You may also ask questions on Zulip.

    Zulip link: https://ms-e1144.zulip.cs.aalto.fi/join/4o34bicstefhbhz43grxgxuk/

    Exercises, examination and grading:

    Your final grade is determined by the results of your submitted exercises, and in exceptional cases an oral exam with the lecturer. On Thursday afternoon and Friday morning you will hear about some new material on the lectures. Start trying to solve your weekly exercises about it immediately! You will most likely run into some trouble and questions — that’s part of the process. On late Monday afternoon you should attend the exercise session and bring your questions. That session is a golden opportunity to get help in internalising the material. On Thursday at noon is the deadline to submit the exercise solutions on MyCourses. They should be written up properly in LaTeX, but you may include hand-drawn scanned figures to save time. Anything submitted late is void. You are encouraged to talk to each other about algebraic geometry, but the exercise solutions have to be completed individually. If the lecturer is not convinced about your contribution, there will be an oral exam to determine your grade.

    Tentative Schedule:


    All classes and related homework after the first week postponed by one week due to computer problems. The lectures for the last week are not postponed but cancelled.


    Week 44

    Monday 16-18: A recap of MS-E1143 - Algebraic Geometry 1

    Thursday 14-16, Friday 8-10: Chapter 6. Morphisms of schemes

     

    Week 45

    Monday 16-18: Exercise session focused on Exercise set 1.

    Thursday 12: Deadline to hand in Exercise set 1.

    Thursday 14-16, Friday 8-10: Chapter 7. Useful classes of morphisms of schemes


    Week 46

    Monday 16-18: Exercise session focused on Exercise set 2.

    Thursday 12: Deadline to hand in Exercise set 2.

    Thursday 14-16, Friday 8-10: Chapter 8. Closed embeddings and related notions


    Week 47

    Monday 16-18: Exercise session focused on Exercise set 3.

    Thursday 12: Deadline to hand in Exercise set 3.

    Thursday 14-16, Friday 8-10: Chapter 9. Fibered products of schemes, and base change


    Week 48

    Monday 16-18: Exercise session focused on Exercise set 4.

    Thursday 12: Deadline to hand in Exercise set 4.

    Thursday 14-16, Friday 8-10: Chapter 10. Separated and proper morphisms, and (finally!) varieties


    Week 49

    Tuesday 16-18: Exercise session focused on Exercise set 5.

    Thursday 12: Deadline to hand in Exercise set 5.

    Thursday 14-16, Friday 8-10: An outlook towards geometric properties of schemes



    NB: Students from the University of Helsinki are welcome!