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| 1 | +## June 3rd, 9:00 AM |
| 2 | +#### M2 Workshop @ Madison |
| 3 | +* Book Accomodations |
| 4 | +What **hotel/apartment** are we staying at? |
| 5 | +* Book St. Olaf Van → Driver: [_Sam_](strom9@stolaf.edu) |
| 6 | +* CLEAR schedules June 29th - July 5th |
| 7 | +This means you don't get to celebrate America. |
| 8 | + |
| 9 | +#### Full Project Goals |
| 10 | +* Tulane ... and on Invariant Rings repo |
| 11 | +* Checkon what is on Tulane Repo |
| 12 | +* Follow up with participants at Tulane (Orbit Sum → Sam) |
| 13 | +* Talk to Prof. Mastroeni |
| 14 | +* Skew Invariants? (I have no idea what this means ) |
| 15 | + |
| 16 | +#### Overview of Tasks for Week 1 |
| 17 | +We will try and achieve goals for **Mathematical Theory development**, **Coding**, and **Professional Development** by the end of the week. |
| 18 | +##### <u>Math Theory</u> |
| 19 | +* Define **Invariant Ring** |
| 20 | + \+ Do initial exercises with invariant rings |
| 21 | +* Invairnat Theory in **M2** |
| 22 | +* Prepare **Representation Theory** |
| 23 | +* Prepare for **Gröbner Basis** for next week |
| 24 | +##### <u>Coding</u> |
| 25 | +* Learn **M2** Language |
| 26 | + → Tutorials on Web |
| 27 | +* M2 Codespace |
| 28 | + → Tutorials on our book |
| 29 | +* First chapters of GitHub for Mathematicians |
| 30 | + * Gordie works on local PreTeX setup |
| 31 | +* PreTeX language |
| 32 | +* PreTeX codespace |
| 33 | +##### <u>Professional</u> |
| 34 | +* GitHub Education |
| 35 | +* Update GitHub profile |
| 36 | +* Professional Development workshop on Wednesday 12-1 |
| 37 | +* Fix typos, give feedback on papers |
| 38 | + |
| 39 | +## June 3rd, 12:00 PM |
| 40 | +#### Book Topics |
| 41 | +We will cover the various topics that the new textbook should cover to educate new people on the processes for this CURI Project. |
| 42 | +* Representation Theory |
| 43 | +* Abelian Case → <span style="color:green">How do you make the action diagonal <u>in M2</u>?</span> |
| 44 | +* Examples |
| 45 | + → Math \& Code |
| 46 | +* Permutation Action |
| 47 | +* Algorithms \& Degree Bounds |
| 48 | +* Gröbner Bases, and <span style="color:red"> Elimination Theory</span> |
| 49 | +* Skew Invariants |
| 50 | +* <span style="color:blue"> Separate Section: </span> Subspace arrangement approach |
| 51 | + |
| 52 | +Here are some additional notes on actually defining our behavior in our skew commutative ring: |
| 53 | + |
| 54 | + |
| 55 | + |
| 56 | +It's important to note that we define our wedge operation as: |
| 57 | + |
| 58 | + |
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