Boston Computation Club - Math Café
Café #1 - January 20
For "homework" read chapters 1 and 2 of Topology: A Categorical Approach and attempt the following:
- 1.1 draw examples
- 1.3 check Zariski Topology property
- 1.10 prove quotient topology characterized by given universal prop
- 2.2 prove or disprove a local consistency property
- 2.9 proof about locally compact Hausdorff spaces
- 2.15 prove or disprove a compactness property
- Optionally, exercises: 1.11, 2.21
Café #2 - February 10th at 1:30-2:30pm EST
We'll start to follow along with the Albin lectures (found here).
For the 10th, aim for listening to the first two lectures + whatever supplemental reading you think might be relevant / helpful from Hatcher (link).
Instead of assigning problems, look at Albin's homework #1 (link) and choose one you think might be tractable to work on. As usual we can discuss on slack or via ad-hoc meetings in the upcoming weeks.
Café #3 - Selected Topics in Kleene Algebra
Cheng hasn't assigned any homework.
Café #4 - Prep for Jean-Eric Pin's Lecture
In preperation for Dr. Jean-Eric Pin's lecture on the Generalized Star Height Problem, we will discuss the following concepts:
- first order logic
- words and languages
- finite deterministic automata
- regular expressions
- free monoids
- monoid morphism
Dr. Pin has provided us with some hand-written nodes
which we can use as a resource.