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MathOverflow : Recent Questions and Answers (Page 28)

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Examples of plane algebraic curves

There are many interesting sequences of polynomials which containpolynomials of arbitrarily high degree, for example classicalorthogonal polynomials. Most of them arise as characteristic polynomialsof some sequences of...

Asked on 02/25/2021 by Alexandre Eremenko

4 answer

Why believe Kontsevich cosheaf conjecture?

Kontsevich cosheaf conjecture roughly states that wrapped Fukaya category can be recovered from local information on the Lagrangian skeleton. What are some reasons why would one believe it? I believe...

Asked on 02/23/2021 by rori

1 answer

Geometric probabilistic problem on triangles on a plane

We are given a triangle $T$ on a plane $P$, with sidelengths $a$, $b$ and $c$, where $c ge b ge a > 0$....

Asked on 02/22/2021 by Penelope Benenati

3 answer

Best texts on Lie groups for number theorists

What are the most comprehensive textbooks on the structure of Lie groups and their infinite-dimensional representations if one is interested in their applications to number theory (so covering discrete subgroups...

Asked on 02/21/2021 by user163784

1 answer

Elementary theory of the category of groupoids?

One axiomatisation of set theory, the Elementary Theory of the Category of Sets, or ETCS for short, comes from category theory and states that sets and functions form a locally...

Asked on 02/21/2021 by Madeleine Birchfield

3 answer

Geometric interpretation for conformally symmetric manifolds

If $(M, g)$ is a pseudo-Riemannian manifold, it's well known that the condition $nabla R=0$ is equivalent to the existence of local geodesic symmetries about each point....

Asked on 02/21/2021 by Ivo Terek

0 answer

Is there a 2-categorical, equivariant version of Quillen's Theorem A?

Quillen's Theorem A says that a functor $F:C to D$ (between 1-categories) induces a homotopy equivalence of classifying spaces $BC simeq BD$ if for every object $d$...

Asked on 02/21/2021 by Vidit Nanda

0 answer

Positive maps on finite group algebras and group homomorphisms

Let $G$, $H$ be finite groups. Consider the group algebra $mathbb{C}G$ acting on $L^2(G)$, making $mathbb{C}G$ into a C* algebra, and the resulting positive elements,...

Asked on 02/20/2021 by Edwin Beggs

2 answer

Does such a function exist?

I am looking for a function with the following property: Let $v_1,v_2$ be two linearly independent vectors in $mathbb{R}^2.$ I am given a smooth function $g:(0,1) rightarrow...

Asked on 02/20/2021 by Sascha

1 answer

Making graphs isomorphic with edge additions/removals

Consider simple graphs on the same vertex set $[n]$. For two graphs $G, H$, let $d(G, H) = min_{H' sim H} |E(G) triangle E(H')|$ — the smallest...

Asked on 02/18/2021 by Mikhail Tikhomirov

1 answer

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