bio | website | math.jhu.edu/~beardsle |
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location | Baltimore, MD | |
age | 27 | |
visits | member for | 4 years |
seen | 19 hours ago | |
stats | profile views | 2,327 |
Learning.
Dec 16 |
comment |
textbooks on modern algebraic geometry for 21st-century starters
I might add that without a good understanding of homological algebra, really important concepts like sheaf cohomology and derived functors aren't going to make much sense. For that, I strongly recommend Charles Weibel's book. It's encyclopedic and well written. The only drawback is that some of his terminology is non-standard. |
Dec 16 |
comment |
textbooks on modern algebraic geometry for 21st-century starters
Ultimately, it really really really depends on what you want to do. You may be the sort of person who can just start memorizing a lot of terminology and abstract nonsense, but if you have no intuition for what a scheme is, you're unlikely to be able to prove very much about schemes. On the other hand, I came from topology, and it was very useful for me to be able to just thing about a stack from the category theory perspective. So it might be worth it to provide some context in your question. |
Dec 16 |
comment |
Coaction of a group
Generally if a group $G$ acts on a ring $A$ then there is a coaction $A\to C(G)\otimes A$. In other words, the dual of the group ring is a Hopf-algebra and coacts on the thing that $A$ acts on. |
Dec 16 |
comment |
Coaction of a group
Do you mean to write "naturally induced coaction" or something? What do you want to have naturally induced on $A\otimes C(G)$? |
Dec 13 |
awarded | Yearling |
Dec 8 |
awarded | Announcer |
Dec 8 |
comment |
Uniqueness of Complex Orientation of Morava K-theory
Wow @Neil this is an incredible answer. Thank you so much. It seems surprising to me that every FGL over $K(n)_\ast$ induces a map of ring spectra $MU\to K(n)$. This cannot be true for complex orientations in general, can it? In other words, for a ring spectrum R it is not the case that an FGL on $R_\ast$ induces a complex orientation on $R$. |
Dec 8 |
accepted | Uniqueness of Complex Orientation of Morava K-theory |
Dec 6 |
asked | Uniqueness of Complex Orientation of Morava K-theory |
Dec 2 |
awarded | Nice Question |
Dec 1 |
revised |
Thom Spectra and Hopf-Galois Extensions of Ring Spectra
fixed a minor error in notation |
Nov 30 |
accepted | Thom isomorphism from the ABGHR perspective |
Nov 30 |
comment |
Thom isomorphism from the ABGHR perspective
Does that spectrum map you describe, $Mf\to R$ need to be multiplicative? |
Nov 30 |
accepted | Cohomology of Formal Groups |
Nov 30 |
accepted | Hopf-algebras in associative ring spectra |
Nov 30 |
revised |
Hopf-algebras in associative ring spectra
deleted 85 characters in body |
Nov 30 |
revised |
Thom isomorphism from the ABGHR perspective
added 76 characters in body |
Nov 30 |
revised |
Thom isomorphism from the ABGHR perspective
added 1 character in body |
Nov 30 |
asked | Thom isomorphism from the ABGHR perspective |
Nov 17 |
comment |
Hopf-algebras in associative ring spectra
Actually this answer is rife with mistakes and misunderstandings. I'll try to update it soon... |