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Events happening on March 18, 2021

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Mar. 18, 2021 9:10am (Zoom 9…	Ulam Michael Pinsker (Technische Universit�t Wien) X I am going to present the dichotomy conjecture for CSPs of certain infinite templates, motivate this conjecture, and provide a rough overview of what we know about it. The infinite CSP dichotomy conjecture
Mar. 18, 2021 10pm (zoom 938…	Thesis Defenses Braden Balentine (University of Colorado) X We discuss mild solutions to the Navier-Stokes equation on the n-dimensional hyperbolic space $Hn, n≥ 2$ . Substantial results have been already obtained by Pierfelice.� In this talk, we show how to extend the rest of the Fujita-Kato theory of mild solutions from $ℝ^{n}$ to $ℍ^{n}$ . This includes well-posedness results for $L^{n}$ and $Ln∩ Lp$ initial data for $1 < p < n$ , global in time results for small initial data, and $L^{n}$ decay results for both u and $∇ u$ . As part of this, we discuss extending to the hyperbolic space $ℍ^{n}$ known facts in Euclidean space concerning the strong continuity and contractivity of the semigroup generated by the Laplacian.� This work, together with Pierfelice�s, contributes to providing a full theory for mild solutions on $ℍ^{n}$ . This a thesis defense. Well-Posedness and Global in Time Behavior for Mild Solutions to the Navier-Stokes Equation on the Hyperbolic Space with Initial Data in $L^{p}$
Mar. 18, 2021 11pm (Zoom)	Noncomm Geometry Stefano D'Alesio (ETH Zurich) X In this talk, using Van den Bergh' double Poisson structures, I will propose a procedure for noncommutative Poisson reduction, starting from noncommutative Hamiltonian spaces and applying a derived version of `classical' noncommutative Poisson reduction. Working out an example of V. Ginzburg, instead of considering quotients by two-sided ideals generated by noncommutative gauge elements, we lift these to elements in higher homological degrees and introduce a differential to form an analogue of the Koszul complex, and then introduce noncommutative analogues of the BRST generators. I will explain how this is the noncommutative counterpart of the classical BRST complex for representation schemes.� The main examples are moduli spaces of representation of quivers, such as Nakajima quiver varieties. Further research possible is to elaborate a noncommutative derived version of quasi-Poisson reduction, with applications to the moduli spaces of flat connections on Riemann surfaces. Noncommutative derived Poisson reduction

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