allenknutsonsclass.blogspot.com

Allen Knutson's class

Math 4370 (spring 2013): Gröbner bases. HW #8, due April 19. HW #7, due 4/11. Monday, April 22, 2013. 1 Let I be an ideal in C[x 1.x n]. Let G I be the sum of all the standard monomials. For example, if I = x-y 2 in C[x,y] with leading term x, then G I = 1/(1-y). Whereas if the leading term is y 2, then G I = (1 y)/(1-x). (Right? A If I is homogeneous, what is the relation of G I and the Hilbert series H I? B Show that G I is always a rational function. B Assuming this for general n, what's its degree?

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Math 4370 (spring 2013): Gröbner bases. HW #8, due April 19. HW #7, due 4/11. Monday, April 22, 2013. 1 Let I be an ideal in C[x 1.x n]. Let G I be the sum of all the standard monomials. For example, if I = x-y 2 in C[x,y] with leading term x, then G I = 1/(1-y). Whereas if the leading term is y 2, then G I = (1 y)/(1-x). (Right? A If I is homogeneous, what is the relation of G I and the Hilbert series H I? B Show that G I is always a rational function. B Assuming this for general n, what's its degree?

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Allen Knutson's class | allenknutsonsclass.blogspot.com Reviews

https://allenknutsonsclass.blogspot.com

Math 4370 (spring 2013): Gröbner bases. HW #8, due April 19. HW #7, due 4/11. Monday, April 22, 2013. 1 Let I be an ideal in C[x 1.x n]. Let G I be the sum of all the standard monomials. For example, if I = x-y 2 in C[x,y] with leading term x, then G I = 1/(1-y). Whereas if the leading term is y 2, then G I = (1 y)/(1-x). (Right? A If I is homogeneous, what is the relation of G I and the Hilbert series H I? B Show that G I is always a rational function. B Assuming this for general n, what's its degree?

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allenknutsonsclass.blogspot.com

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Allen Knutson's class: March 2009

http://www.allenknutsonsclass.blogspot.com/2009_03_01_archive.html

Math 4370 (spring 2013): Gröbner bases. Answers to HW #7. HW #7, due Wednesday 3/11 (corrected). Answers to HW #6 (tiny correction to #1). Answers to HW #5. Tuesday, March 31, 2009. Wednesday, March 25, 2009. I handed out the midterm. If you didn't get one email me. It's due in Anna's basement office Friday 2:30-3:30. If you can't come then email her. Once you start it, you have three hours (consecutive! During which you can't talk to other people about it nor touch a computer, nor use textbooks. The dim...

2

Allen Knutson's class: April 2008

http://www.allenknutsonsclass.blogspot.com/2008_04_01_archive.html

Math 4370 (spring 2013): Gröbner bases. HW #4 due Monday May 5. HW #3 due Wednesday April 30. Answers to practice midterm. Tiny mistake in practice midterm. Practice midterm #1 (which is next Monday). The case of the missing TA. HW #2 due Monday April 14. Friday April 4 and Monday April 7. Tuesday, April 29, 2008. HW #4 due Monday May 5. 76 #4,12,15,19,47. 77 #1,2,5,6,19,30,33,78. Monday, April 28, 2008. Long division of polynomials (i.e. the usual long division algorithm, but with polynomials). Read 7&#...

3

Allen Knutson's class: September 2010

http://www.allenknutsonsclass.blogspot.com/2010_09_01_archive.html

Math 4370 (spring 2013): Gröbner bases. Sunday, September 19, 2010. The notes have been updated. Wednesday, September 08, 2010. The notes for 7310 have been updated. Subscribe to: Posts (Atom).

4

Allen Knutson's class: April 2009

http://www.allenknutsonsclass.blogspot.com/2009_04_01_archive.html

Math 4370 (spring 2013): Gröbner bases. Answers to HW #11. Answers to HW #10. HW #11, due Wed 4/29 (minor corrections to 3b and . Talk next Monday 4/27. Answers to HW #9. HW #10, Due Wed. 4/22. Answers to HW #8. HW #9, due Wednesday 4/15. HW #8, due Wednesday 4/8. Wednesday, April 29, 2009. Answers to HW #11. 1 Let R = F p[x,y], and I generated by y(y-x 2). Show there is no Frobenius splitting on R that compatibly splits I. We can colon out {y} to get {y-x 2}, or {y-x 2} to get {y}. Phi 1(anything) = phi...

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Allen Knutson's class: March 2010

http://www.allenknutsonsclass.blogspot.com/2010_03_01_archive.html

Math 4370 (spring 2013): Gröbner bases. Notes now through Mar 10. Wednesday, March 10, 2010. Notes now through Mar 10. Frobenius splitting done, moving on to Serre duality. Subscribe to: Posts (Atom).

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newmediacurriculum.wordpress.com

Blogs in the Classroom | Use New Media in Curriculum

https://newmediacurriculum.wordpress.com/2009/02/26/blogs-in-the-classroom

Use New Media in Curriculum. Blogs in the Classroom. February 26, 2009 at 8:28 pm. I have searched the web for other educators blogs. Who is using blogs in the classroom? The goal is for you to browse through these class blogs to demonstrate class blog usage for other instructors. The first one I came upon has a math professor in Ithaca, New York. Http:/ allenknutsonsclass.blogspot.com/. Love how english majors are involved in New Media! Http:/ lizkleinfeldclass.blogspot.com/. Entry filed under: Blogs.

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allenknutsonsclass.blogspot.com

Allen Knutson's class

Math 4370 (spring 2013): Gröbner bases. HW #8, due April 19. HW #7, due 4/11. Monday, April 22, 2013. 1 Let I be an ideal in C[x 1.x n]. Let G I be the sum of all the standard monomials. For example, if I = x-y 2 in C[x,y] with leading term x, then G I = 1/(1-y). Whereas if the leading term is y 2, then G I = (1 y)/(1-x). (Right? A If I is homogeneous, what is the relation of G I and the Hilbert series H I? B Show that G I is always a rational function. B Assuming this for general n, what's its degree?

allenknutsonsotherclass.blogspot.com

Allen Knutson's other class

Allen Knutson's other class. Tuesday, April 27, 2010. Lie algebra from Dynkin diagram. Is the construction I gave in class for a Lie algebra given its Dynkin diagram. Next will be some stuff about Weyl groups and Weyl chambers, delaying the fact that simple reflections generate N(T)/T. We're going to do other chapters from here. Posted by Allen Knutson @ 1:36 PM. Wednesday, April 14, 2010. If K is compact with discrete center, pi 1(K) is finite. Hence there are finitely. Posted by Allen Knutson @ 10:21 AM.

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Welcome to Allen and Glenva Kohl Website

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