Topology Qual Prep Seminar Summer 2021
Exam Date and Time: September 21st, 1:00 PM
Part A, Point Set Topology
Part C, Differential Topology
Meetings
Tuesday/Thursday 8:30-9:50 am
Office Hours
Monday 9-10, Friday 12-1
Mock Qual #0
(2019 Qualifying Exam)
Meeting 1, July 27th
Today we got to know each other, talked about some expectations for the seminar, and then did a few problems from the part A section of the "Exercises to know" list
Meeting 2, July 29th
Discussed solutions to the above worksheet
Meeting 3, Aug 3rd
Solution for Exercises to know B11
Spent some time talking about mock qual 0 and then discussed some part B questions from "Exercises to know"
Meeting 5, Aug 10th
Went over a few questions from this year's differential topology final exam.
Meeting 6, Aug 12th
Discussed problems to the above worksheet
Meeting 7, Aug 17th
We talked about some solutions to Mock Qual #1
Aug 19th
No meeting today
Meeting 8, Aug 24th
Several people presented solutions and problems from Mock Qual 2 during the discussion today. I emailed a link to sign up for problems.
Meeting 9, Aug 26th
We spent today talking about Mock Qual 2, Question 5.
Meeting 10, Aug 31th
Several people presented solutions and problems from Mock Qual 3 during the discussion today. I emailed a link to sign up for problems.
Correction: At the end of the video I say every simply connected space is contractible. This is false! S² is a counterexample.
Meeting 11, Sep 2nd
We covered some of the older problems from past mock quals and exercises to know.
Meeting 12, Sep 7th
Notes from the day (Errors in Solution to Q7)
We talked about some of the questions on Mock Qual 4.
Meeting 13, Sep 9th
Today we talked about a "grab bag" of problems, mostly things requested by attendees of the seminar.
This is the last official day of the seminar.
Meeting 14, Sep 14th
We turned this meeting into an office hour, so there's no recording. We discussed questions 8 through 11 in the above worksheet with applications of Homology and some Seifert–Van Kampen examples.
(This is a make up meeting, due to missing August 19th.)
Extra Office Hours
Monday, Sep 13th 9:00
Thursday, Sep 16th 8:30
Maybe another hour, depending on demand.