Title: Smooth non-decaying solutions to the 2D dissipative quasi-geostrophic equations Abstract: In this talk we explore the two-dimensional dissipative surface quasi-geostrophic (SQG) equation with fractional diffusion of order 2α for α ∈ (1/2,1], focusing on the setting where the initial data does not decay at spatial infinity and periodicity is not assumed. In geophysical applications, […]
Events
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Following Kalashnikov, we recover Givental’s small J function for CP^1 by viewing it as a quiver flag variety.
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We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Morgan Weiler (University of California, Riverside) Title: Anchored symplectic embeddings and 2-parameter persistence Abstract: Symplectic geometry is a generalization of classical mechanics, in which position and momentum coordinates are paired. In two dimensions, symplectic geometry is equivalent to volume-preserving geometry, but in […] |
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This GEMS session will be facilitated by Professor Jemma Lorenat from Pitzer College. Title: Playing with the Rules of Geometries Abstract: This session will explore how a small set of rules can be used to build and investigate geometrical objects. Through drawing, folding, and imagining, we will see how a limited number of possible actions ground a wide range […] |
1 event,We’ll first define the two-point gravitational correlators which appeared last week as descendant Gromov-Witten invariants. By request, we’ll then introduce Gromov-Witten invariants as they appear in the expository work https://arxiv.org/abs/2501.03232 and give CP^1 to demonstrate some of the identities which GW invariants satisfy. If time allows, we’ll also give the small and big quantum cohomology for CP^1. |
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Title: Bi-Lipschitz Invariants Abstract: Consider a finite-dimensional real vector space and a finite group acting unitarily on it. We investigate the general problem of constructing Euclidean stable embeddings of the quotient space of orbits. Our embedding relies on subsets of sorted coorbits with respect to chosen window vectors. Our main injectivity results examine the conditions […] |
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We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Carrie Frizzell (Scripps College) Title: A Primer on Tropical Geometry Abstract: Max-plus and min-plus semifields—coined tropical semifields—appeared in the 1970s in the work of the computer scientist Imre Simon. Since then, the field of tropical geometry has developed rapidly. In this talk, […] |
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The Claremont Topology Seminar, with funding from Pitzer College and the NSF, is pleased to sponsor the N+12th Southern California Topology Colloquium (SCTC). SCTC is a one-day conference primarily attended […] |
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Title: Do Taxes Affect Pre-Tax Income Inequality? Evidence from 100 Years of U.S. States Abstract: We study how U.S. state taxes have affected pre-tax income inequality during the last century. Our primary analysis focuses on the top marginal personal income and corporate income tax, and their effect on top incomes and top income shares within […] |
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We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Iris Yoon (Wesleyan University) Title: Dowker duality, profunctors, and spectral sequences Abstract: I will present three short, new proofs of Dowker duality using various poset fiber lemmas. I will introduce modifications of joins and products of simplicial complexes called relational join and […] |
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Speaker: Iris Yoon, Professor of Mathematics, Wesleyan University Title: How Topology Reveals Structure in Neuroscience Data Abstract: We live in an exciting time where new data is generated at an exponential rate. […] |
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Title: Learning on manifolds without manifold learning Abstract: Function approximation based on data drawn randomly from an unknown distribution is an important problem in machine learning. The manifold hypothesis assumes that the data is sampled from an unknown submanifold of a high dimensional Euclidean space. A great deal of research deals with obtaining information about […] |
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I will present an integral — requiring no character twists — converse theorem for recognizing when is a Dirichlet series with algebraic integer coefficients equal to the L-function of a modular form. This […]
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We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Reginald Anderson (Claremont McKenna College) Title: Kontsevich's Recursive Formula for Rational Plane Curves Abstract: Gromov-Witten theory was […] |
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Speaker: Yimin Xiao, Professor of Statistics and Probability, Michigan State University Title: Brownian Motion, Random Fractals, and Beyond Abstract: Brownian motion is not only a fascinating object in mathematics but […] |
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A big area in combinatorics over the last several decades has been the study of pattern-avoiding permutations, whose enumeration is exciting and mysterious. Alternating sign matrices (ASMs) are a generalization […]
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We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Scott Taylor (Colby College) Title: Genus 1 Bridge Number of Satellite Knots in Lens Spaces Abstract: In […] |
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Speaker: Scott Taylor, Professor of Mathematics, Colby College, Maine Title: Sums and Symmetries Abstract: Adding is one of the fundamental mathematical operations and we like it so much, we can't […] |
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This GEMS session will be facilitated by Professor Bahar Acu from Pitzer College. Title: The Hole Truth: When is a Coffee Mug a Donut? Abstract: In mathematics, topology is the study of properties […] |