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Q&A for professional mathematicians
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Hottest Questions Today - MathOverflow
Skip to main content Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, ...
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Let $A$ be a $C^*$-algebra and $(a_{ij}) \in M_n(A)$ be a positive matrix. Does there exist a constant $C \ge 0$ (not depending on the $a_{ij}$) such that $$\lVert(a_{ij})\rVert \le C \Bigl\lVert\s...
Mathoverflow.net news digest
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0 days
What are the terms in the Eagon Northcott complex?
Let $E \to F$ be a map of vector bundles on a scheme $X$ of ranks $e, f$ (actually, I hope $X$ may be a stack here). Suppose $e \leq f$. I want to describe the locus $D \subseteq X$ where $E \to F$ drops rank, i.e., when its rank is at most $e-1$. (I...
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9 years
Examples of math hoaxes/interesting jokes published on April Fool's day?
What are examples of math hoaxes/interesting jokes published on April Fool's day?
For a start P=NP.
Added 2026-04-01 Anything new in 2026? -
0 days
Examples of cocomplete categories without equalizers
What are some examples of cocomplete categories without equalizers? And what are some examples of cocomplete categories without binary products?
They must exist, but at the moment I don't know any. Of course, you may also list examples of complete categories without coequalizers (resp., binary coproducts).... -
0 days
Interpretations of the tangent Chern numbers of the complex projective spaces $C...
I've identified the generating functions for the tangent Chern numbers of the complex projective spaces $CP^n$ given in "Algebraic topology of the Lagrange inversion" by Victor Buchstaber and Alexander Veselov as
$$C^{\tau}(CP^n) = (n+1) \cdot N_{n+1}(t_1,t_2,...,t_n)$$...
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