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It always happens: you have a talk for dinner and nothing prepared. Your signature dish never fails, but you have served it too many times already and youd like to surprise your guests with something new. Try these quick, light and colourful reinterpretations of haute cuisine classics, like (nonabelian) Fourier transforms and the Plancherel theorem for finite groups.
We prove the $r$-spin cobordism hypothesis in the setting of (weak) 2-categories for every positive integer $r$: The 2-groupoid of 2-dimensional fully extended $r$-spin TQFTs with given target is equivalent to the homotopy fixed points of an induced
We define a large new class of conformal primary operators in the ensemble of Brownian loops in two dimensions known as the ``Brownian loop soup, and compute their correlation functions analytically and in closed form. The loop soup is a conformally
Given a simply connected manifold M such that its cochain algebra, C^star(M), is a pure Sullivan dga, this paper considers curved deformations of the algebra C_star({Omega}M) and consider when the category of curved modules over these algebras become
We provide an algebraic formulation of C.Rovellis relational quantum theory that is based on suitable notions of non-commutative higher operator categories, originally developed in the study of categorical non-commutative geometry. As a way to implem
The fully compressible semi-geostrophic system is widely used in the modelling of large-scale atmospheric flows. In this paper, we prove rigorously the existence of weak Lagrangian solutions of this system, formulated in the original physical coordin