CCA Reading Group: Difference between revisions

From UW-Math Wiki
Jump to navigation Jump to search
(Created page with "This is the page for the Fall 2019 Combinatorial Commutative Algebra Reading Group, which is open to all UW Math grad students, but will require a certain amount of participat...")
 
 
(18 intermediate revisions by 2 users not shown)
Line 1: Line 1:
This is the page for the Fall 2019 Combinatorial Commutative Algebra Reading Group, which is open to all UW Math grad students, but will require a certain amount of participation and work to receive credit.
This is the page for the Fall 2019 Computational Commutative Algebra Reading Group, which is open to all UW Math grad students, but will require a certain amount of participation and work to receive credit.


== Resources ==
== Resources ==
Line 7: Line 7:
== Meeting Schedule ==
== Meeting Schedule ==


10 weeks total, starting week of Sept. 9, adjusting throughout semester.
10 weeks total, starting on Sept. 16, adjusting throughout the semester.


Meetings twice per week for an hour, days and times TBD depending on participants' schedules.
Meetings will be on Mondays at 3:30-5:30pm, split into two sessions, in B129 VV.
 
We will also have an additional problem session (optional) on Thursdays at 2:30-3:30pm in B119 VV.


Exact schedule may vary slightly from week to week as needed.
Exact schedule may vary slightly from week to week as needed.
Line 16: Line 18:
'''Approximate Reading Schedule:'''
'''Approximate Reading Schedule:'''


1. Ch. 2: Grobner Bases, Sections 1-3
'''September 16'''
 
a. Ch. 2: Grobner Bases, Sections 1-3  (Speaker: Caitlyn Booms)
 
b. Ch. 2: Grobner Bases, Sections 4-6  (Speaker: Caitlyn Booms)
 
 
'''September 23'''
 
a. Ch. 2: Grobner Bases, Sections 7-8  (Speaker: Colin Crowley)
 
b. Chapter 2 Exercises
 
 
'''September 30'''
 
a. Ch. 3: Elimination Theory, Sections 1-3   (Speaker: Caitlyn Booms)
 
b. Ch. 3: Elimination Theory, Sections 4-6  (Speaker: Will Hardt)
 
 
'''October 7'''
 
a. Ch. 4: The Algebra-Geometry Dictionary, Sections 1-3  (Speaker: Erika Pirnes)
 
b. Ch. 4: The Algebra-Geometry Dictionary, Sections 4-6  (Speaker: Alex Hof)
 
 
'''October 14'''
 
a. Ch. 4: The Algebra-Geometry Dictionary, Sections 7-9  (Speaker: Ivan Aidun)
 
b. Chapter 3 and 4 Exercises (Led by Maya Banks)


2. Ch. 2: Grobner Bases, Sections 4-6


3. Ch. 2: Grobner Bases, Sections 7-8
'''October 21'''


4. Exercises
a. Guest Lecture: Daniel Erman


5. Ch. 3: Elimination Theory, Sections 1-3
b. Catch up/Problem Session


6. Ch. 3: Elimination Theory, Sections 4-6


7. Ch. 4: The Algebra-Geometry Dictionary, Sections 1-3
'''October 28'''


8. Ch. 4: The Algebra-Geometry Dictionary, Sections 4-6
a. Ch. 5: Polynomial and Rational Functions on a Variety, Sections 1-3  (Speaker: Owen Goff)


8. Ch. 4: The Algebra-Geometry Dictionary, Sections 7-9
b. Ch. 5: Polynomial and Rational Functions on a Variety, Sections 4-6  (Speaker: Erika Pirnes)


9. Catch up/guest lecture


10. Catch up/guest lecture
'''November 4'''


11. Ch. 5: Polynomial and Rational Functions on a Variety, Sections 1-3
a. Ch. 8: Projective Algebraic Geometry, Sections 1-4  (Speaker: John Cobb)


12. Ch. 5: Polynomial and Rational Functions on a Variety, Sections 4-6
b. Ch. 8: Projective Algebraic Geometry, Sections 5-7  (Speaker: Eiki Norizuki)


13. Ch. 8: Projective Algebraic Geometry, Sections 1-4


14. Ch. 8: Projective Algebraic Geometry, Sections 5-7
'''November 18'''


15. Exercises
a. Ch. 9: The Dimension of a Variety, Sections 1-3  (Speaker: Lorenzo Najt)


16. Ch. 9: The Dimension of a Variety, Sections 1-3
b. Ch. 9: The Dimension of a Variety, Sections 4-6  (Speaker: Maya Banks)


17. Ch. 9: The Dimension of a Variety, Sections 4-6


18. Exercises
'''November 25'''


19. Catch up/guest lecture
a. Chapter 5, 8, and 9 Exercises


20. Catch up/guest lecture
b. Chapter 5, 8, and 9 Exercises


== General Meeting Structure ==
== General Meeting Structure ==

Latest revision as of 18:54, 20 November 2019

This is the page for the Fall 2019 Computational Commutative Algebra Reading Group, which is open to all UW Math grad students, but will require a certain amount of participation and work to receive credit.

Resources

We plan to read Cox, Little, and O'Shea's Ideals, Varieties, and Algorithms, which can be found here: [1].

Meeting Schedule

10 weeks total, starting on Sept. 16, adjusting throughout the semester.

Meetings will be on Mondays at 3:30-5:30pm, split into two sessions, in B129 VV.

We will also have an additional problem session (optional) on Thursdays at 2:30-3:30pm in B119 VV.

Exact schedule may vary slightly from week to week as needed.


Approximate Reading Schedule:

September 16

a. Ch. 2: Grobner Bases, Sections 1-3   (Speaker: Caitlyn Booms)
b. Ch. 2: Grobner Bases, Sections 4-6   (Speaker: Caitlyn Booms)


September 23

a. Ch. 2: Grobner Bases, Sections 7-8   (Speaker: Colin Crowley)
b. Chapter 2 Exercises


September 30

a. Ch. 3: Elimination Theory, Sections 1-3   (Speaker: Caitlyn Booms)
b. Ch. 3: Elimination Theory, Sections 4-6   (Speaker: Will Hardt)


October 7

a. Ch. 4: The Algebra-Geometry Dictionary, Sections 1-3   (Speaker: Erika Pirnes)
b. Ch. 4: The Algebra-Geometry Dictionary, Sections 4-6   (Speaker: Alex Hof)


October 14

a. Ch. 4: The Algebra-Geometry Dictionary, Sections 7-9   (Speaker: Ivan Aidun)
b. Chapter 3 and 4 Exercises (Led by Maya Banks)


October 21

a. Guest Lecture: Daniel Erman
b. Catch up/Problem Session


October 28

a. Ch. 5: Polynomial and Rational Functions on a Variety, Sections 1-3   (Speaker: Owen Goff)
b. Ch. 5: Polynomial and Rational Functions on a Variety, Sections 4-6   (Speaker: Erika Pirnes)


November 4

a. Ch. 8: Projective Algebraic Geometry, Sections 1-4   (Speaker: John Cobb)
b. Ch. 8: Projective Algebraic Geometry, Sections 5-7   (Speaker: Eiki Norizuki)


November 18

a. Ch. 9: The Dimension of a Variety, Sections 1-3   (Speaker: Lorenzo Najt)
b. Ch. 9: The Dimension of a Variety, Sections 4-6   (Speaker: Maya Banks)


November 25

a. Chapter 5, 8, and 9 Exercises
b. Chapter 5, 8, and 9 Exercises

General Meeting Structure

This reading group will be structured as follows. Every meeting will have an assigned speaker, who will usually be one of the reading group participants, but could at times be an older grad student or professor. It will be expected that everyone attending will read the assigned sections prior to the meeting. The speaker is expected to additionally work out some examples prior and will be responsible for lecturing on the reading material and guiding the group discussion during the meeting. The schedule will be pretty flexible and will be adjusted throughout the semester. Daniel Erman will be our faculty advisor, and in order to receive credit (up to 3 credits), participants will be expected to attend all meetings, be the speaker twice, and do several exercises. We will also use Macaulay2 during the exercise sessions to get comfortable both computing examples by hand and by using a computer.

If you are interested in joining this reading group or have any questions, please contact Caitlyn Booms at cbooms@wisc.edu by Sept. 4, 2019.