Alberto Bressan, Penn State University Modeling Traffic Flow Giovedì 12 Giugno 2025, ore 15:30 aula U5-3014 del Dip. di Matematica e Applicazioni, Università Bicocca |
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Cristina Trombetti, Università degli Studi di Napoli Federico II Some free boundary problems in thermal insulation Venerdì 23 Maggio 2025, ore 11:30 precise Aula B.5.4, quinto piano, ed. 14 "La Nave", Politecnico di Milano |
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Armen Shirikyan, University of Cergy-Pontoise Gallavotti–Cohen fluctuation theorem: Universal law of non-equilibrium statistical mechanics. Mercoledì 26 Febbraio 2025, ore 16:00 precise Aula seminari MOX, sesto piano del Dipartimento di Matematica, Edificio 14 "La Nave", Politecnico di Milano |
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Camillo de Lellis, IAS Princeton Area-minimimizing currents mod an integer Martedì 25 Febbraio 2025, ore 14:30 precise Aula C04, via Mangiagalli 25 |
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Abstract
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Currents mod p are a suitable generalization of classical chains mod p, i.e. of finite combinations of smooth submanifolds with coefficients in the cyclic group $\mathbb Z_p$. By the pioneering work of Federer and Fleming it is possible to minimize the area in this context and, for instance, represent mod $p$ homology classes with area minimizers. For $p>2$ typically (i.e. away froma small set of exceptional points) one would expect such minimizers to be a union of smooth minimal surfaces joining together (``in multiples of $p$'s'') at some common boundary. This is however surprisingly challenging to prove, especially for even $p$'s, and up until recently only known for $p=3$ and $4$ in codimension $1$. In this talk I will explain the outcome of a series of more recent works (some joint of the speaker with Hirsch, Marchese, Stuvard and Spolaor, some by Wickramasekera and Minter-Wickramasekera, and some joint of the speaker with Minter and Skorobogatova) which confirms this picture, with varying degrees of precision in
a variety of situations. |
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Andrea Mondino, University of Oxford Smooth and non-smooth aspects of Ricci curvature lower bounds Mercoledì 02 Ottobre 2024, ore 16:00 precise Sala del Consiglio (piano 7) |
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Enrico Valdinoci, University of Western Australia Nonlocal minimal surfaces: regularity, stickiness, sheeting phenomena Venerdì 21 Giugno 2024, ore 11:00 precise Sala Consiglio, settimo piano, Dipartimento di Matematica, Edificio 14 "La Nave", Politecnico di Milano |
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