Tameness is a generalized notion of finiteness that is restricting the geometric complexity of sets and functions. The underlying mathematical foundation lies in tame geometry, which is built from o-minimal structures introduced in...
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Chip-firing games on finite graphs provide a combinatorial analog of the theory of special divisors on algebraic curves. Each chip configuration determines two numbers: the degree and rank, analogous to...
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A slope p/q is said to be characterising for a knot K if the oriented homeomorphism type of the manifold obtained by performing Dehn surgery of slope p/q on K...
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Soon after the discovery of high temperature superconductivity in the cuprates, Anderson proposed a connection to quantum spin liquids. But observations since then have shown that the low temperature phase...
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What do you picture when you think of exp(z), a group of 2x2 matrices, a smooth map, or infinity itself? In this talk we will discuss the practice of mathematical...
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Lascoux, Leclerc, and Thibon defined a remarkable family of symmetric functions that are $q$-deformations of products of skew Schur functions. These LLT polynomials $G_{\lambda}(x;q)$ can be indexed by a tuple...
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In their seminal work, Diaconis and Shahshahani used representation theory of the symmetric group to diagonalize the transition matrix of random transpositions. More recently, Dieker and Saliola introduced another technique...
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I will show how methods from derived algebraic geometry can be used to give a uniform definition of generating series of cycles on integral models of Shimura varieties of Hodge...
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Abstract: TBA The Math Picture Language seminar will be held at 9:30 a.m. Boston time. Click the link for a Zoom Link for Tuesday Math Picture Language Seminars. Recorded seminars can be viewed...
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