Abstract: For several years I ran a blog called Visual Insight, which was a place to share striking images that help explain topics in mathematics. In this talk I’d like to show you some of those ...

Most representations are not permutation representations, since every permutation representation has a vector fixed by all elements of G G, namely the vector that’s the sum of all elements of X X. In ...

Earlier this month the Mathematics Institute at Uppsala University hosted a conference called Categorification in Algebra and Topology, clearly a theme close to our collective heart. As yet there are ...

Jan 24, 2008 On how integration and transgression of differential forms is realized in terms of inner homs applied to transport n-functors and their corresponding Lie oo-algebraic connection data.

Oct 9, 2007 On weak Lie n-algebras, differential graded Clifford algebra and Roytenberg’s work on weak Lie 2-algebras.

Oct 20, 2007 On the general ideal of integrating Lie n-algebras in the context of rational homotopy theory, and about Sullivan’s old article on this issue in particular. Sep 8, 2023 From a logical ...

Cauchy distributions form a convolution semigroup, i.e. μt + s = μt * μs. This is because to hit a plane at distance t + s the Brownian motion has to hit a parallel plane at distance t first, and then ...

Applied category theorists are flocking to AI, because that’s where the money is. I avoid working on it, both because I have an instinctive dislike of ‘hot topics’, and because at present AI is mainly ...

There’s an obvious map β: A(G) → R(G) \beta : A (G) \to R (G) , since any action of G G on a finite set gives a permutation representation of G G on the vector space with basis X X.

Hello unknown@157.55.39.57. So nice of you to stop by. I'm a member of the Theory Group here at UT. I've been at UT since September 1994. Before coming here, I was an Assistant Professor in the theory ...