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Abstract: In this talk, we will describe a well/ill-posedness result for the 2D incompressible Euler equations. We investigate solutions in a setting logarithmically smoother than previously done, in a hope to identify the key dynamics leading to a breakdown of regularity in 2D fluid flow. When order of the logarithmic derivative is sufficiently large one […] |
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A low autocorrelation binary sequence of length $\ell$ is an $\ell$-tuple of $+1$s and $-1$s that does not strongly resemble any translate of itself. Such sequences are used in communications and remote sensing for synchronization and ranging, where translation represents time delay. A single number that indicates how good a sequence is for such purposes, […] |
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Abstract: An isometry between two normed vector spaces is a linear map that preserves the norm (i.e., the length of each output agrees with the length of its input). For the classical $p$-norms, isometries have a very concrete description when $p\neq 2$: they are given by signed permutations of the coordinates. In this talk, I […] |
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CCMS Colloquium invites you to a talk by Puttipong Pongtanapaisan (Pitzer) Title: Derivatives and the Shape of Graphs Abstract: Reading the title of this talk, perhaps you think you are going to hear about Calculus I. I stole the title from a section of Stewart’s popular calculus book. But actually, I am going to talk […] |
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This GEMS session will be facilitated by Evan Rosenman from Claremont McKenna College Title: Fair Votes? The Mathematics of Elections and Redistricting Abstract: How do we know if an election is fair? […] |
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In this talk, I'll attempt to give a friendly introduction to tropical linear series and explore their relationship to matroid theory. Along the way, we'll stop to admire the beautiful view from enumerative geometry and combinatorics. This is joint work with Chih-Wei Chang, Matthew Dupraz, Hernan Iriarte, David Jensen, Sam Payne, and Jidong Wang, and also with […] |
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This one-day workshop assembles diverse perspectives from the history and philosophy of mathematics to examine ways in which mathematics interacts and expands across other fields of study. Please RSVP here […] |
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Abstract: We study the optimization of Steklov eigenvalues with respect to a boundary density function ρ on a bounded Lipschitz domain. We investigate the minimization and maximization of a Steklov […] |
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Inspired by the categorification program for a numerical invariant of three-manifolds, series invariants for closed manifolds and for knot complements were introduced. This in turn motivated an extension of the […] |
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Abstract: Turbulence influences our lives in a multitude of ways, ranging from the mundane (when we stir milk into our coffee) to the spectacular (the formation of galaxies). It is […] |
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