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Matrices in companion rings and their Smith forms, with applications to group theory and algebraic topology – Vanni Noferini (University of Essex and Aalto University)

In group theory, various properties of the abelianization of a cyclically presented group can be deduced by the Smith normal form of an integer circulant matrix. Motivated by this fact, we present a number of results on the Smith form of matrices…

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Embedding properties of network realizations of reduced order models with applications to inverse scattering and data science – Vladimir Druskin (Worcester Polytechnic Institute)

Continued fractions are known since antiquity as the most compact representations of numbers. At the end of the 19th century Stieltjes connected them with physics. This connection gave rise to network syntheses in the first half of the 20th century…

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Elliptic equations in unbounded cylinders with nonpositive zero order terms and applications to wave homogenization. – Juan Casado-Diaz (Universita’ di Siviglia)

We investigate the existence of solution for a linear elliptic problem posed in an unbounded cylinder where due to the presence of a nonpositive zero order term Lax-Milgram’s theorem does no apply. Since the domain is unbounded, Fredholm theory does…

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Existence and uniqueness for crystalline mean curvature flows with general mobilities – Marcello Ponsiglione (Universita’ di Roma La Sapienza)

In this seminar we will discuss weak formulations for crystalline mean curvature flows, providing existence and uniqueness of the geometric evolution up to fattening. In particular, we show that the Almgren-Taylor-Wang scheme starting from any given…

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