Blogs about: Algebraic Geometry
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B-N-R Part 3: PPAV's and some details
Now, we continue our tour through Beauville, Narasimhan, Ramanan. We’ve talked about Twisted Endomorphisms and we’ve talked about the Generalized Theta Divisor on the Moduli Space of Vect… more →
Rigorous Trivialities
Localization and the strong Nullstellensatz
Qiaochu Yuan wrote 7 hours ago: A basic idea in topology and analysis is to study a space by restricting attention to arbitrarily sm … more →
MaxSpec is not a functor
Qiaochu Yuan wrote 1 day ago: For commutative unital C*-algebras and for finitely-generated reduced integral -algebras, we have se … more →
Affine varieties and regular maps
Qiaochu Yuan wrote 2 days ago: I have to admit I’ve been using somewhat unconventional definitions. The usual definition of a … more →
Sheaf cohomology
Akhil Mathew wrote 1 week ago: To continue, I am now going to have to use the language of sheaves. For it, and for all details I wi … more →
Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields
JSE wrote 1 week ago: Now I’ll say a little bit about the actual problem treated by the new paper with Venkatesh and … more →
Ordinary vs generalized cohomology theories
Andreas Holmstrom wrote 2 weeks ago: Introduction When trying to classify or organize cohomology theories “found in nature” w … more →
Motivating the Zariski Topology
intoverflow wrote 2 weeks ago: Act I: Where polynomials take over It is a large theme in commutative algebra that the only thing st … more →
The braid group, analytic number theory, and Weil's three columns
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JSE wrote 2 weeks ago: This post is about a new paper of mine with Akshay Venkatesh and Craig Westerland; but I’m not … more →
Set-valued tableaux and Grothendieck polynomials
Steven Sam wrote 2 weeks ago: Last time, I discussed a bit about the relationship between the Chow groups of a nonsingular variety … more →
The ideal-variety correspondence
Qiaochu Yuan wrote 3 weeks ago: I guess I didn’t plan this very well! Instead of completing one series I ended one and am righ … more →
The Noetherian condition as compactness
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Qiaochu Yuan wrote 3 weeks ago: Let’s think more about what an abstract theory of unique factorization of primes has to look l … more →
The weak Nullstellensatz and affine varieties
Qiaochu Yuan wrote 3 weeks ago: Hilbert’s Nullstellensatz is a basic but foundational theorem in commutative algebra that has … more →
Finite field counts and the Grothendieck ring of varieties
Steven Sam wrote 1 month ago: Lately some of us at MIT have been thinking about counting -rational points on some classes of varie … more →
Grothendieck
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futbolusa wrote 1 month ago: Considering I started down the applied mathematics approach, especially considering I feel I was mor … more →
Chow rings and K-theory
Steven Sam wrote 1 month ago: I want to write a post about the set-valued tableaux of Buch and how they are related to Schur polyn … more →
Random pro-p groups, braid groups, and random tame Galois groups
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JSE wrote 1 month ago: I’ve posted a new paper with Nigel Boston, “Random pro-p groups, braid groups, and rando … more →
Exceptional sequences for the Grassmannian
Steven Sam wrote 1 month ago: Let K be a field of characteristic 0, and let V be a vector space over K of dimension n, and pick k … more →
Hyperbolic polynomials and their cones
Đặng Tuấn Hiệp wrote 2 months ago: We will consider a homogeneous multivariate polynomial of degree . Here homogeneous of degree means … more →
Quadrics in characteristic 2
nasqret wrote 2 months ago: I am struggling with the following problem: Consider te polynomial with coefficients where char and … more →
