On the geometry of lattice extensions (Max Forst, CGU)
Given a lattice L, an extension of L is a lattice M of strictly greater rank so that L is equal to the intersection of the subspace spanned by L […]
12 events found.
Algebra / Number Theory / Combinatorics Seminar
Events
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Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States
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Properties of redistricting Markov chains (Sarah Cannon, CMC)
Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United StatesMarkov chains have become widely-used to generate random political districting plans. These random districting plans can be used to form a baseline for comparison, and any proposed districting plans that […]
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A tale of two worlds: parking functions & reduction algebras (Dwight Anderson Williams II, Pomona)
Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States"A Tale of Two Cities" is a novel told in three books/parts. Here we describe three projects related both to published work and ongoing pieces: PROJECT 1: In the world […]
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Factoring translates of polynomials (Arvind Suresh, University of Arizona – Tucson)
Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United StatesGiven a degree d polynomial f(x) in Q, consider the subset S_f of Q consisting of rational numbers t for which the translated polynomial f(x) - t factors completely in […]
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Minimal Mahler measure in number fields (Kate Petersen, University of Minnesota Duluth)
Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United StatesThe Mahler measure of a polynomial is the modulus of its leading term multiplied by the moduli of all roots outside the unit circle. The Mahler measure of an algebraic […]
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Partial orders on standard Young tableaux( Gizem Karaali, Pomona)
On ZoomYoung diagrams are all possible arrangements of n boxes into rows and columns, with the number of boxes in each subsequent row weakly decreasing. For a partition λ of n, […]
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Positive semigroups in lattices and totally real number fields (Lenny Fukshansky, CMC)
Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United StatesLet L be a full-rank lattice in R^n and write L+ for the semigroup of all vectors with nonnegative coordinates in L. We call a basis X for L positive […]
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Biquandle arrow weights (Sam Nelson, CMC)
Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United StatesMany knot invariants are defined from features of knot projections such as arcs or crossings. Gauss diagrams provide an alternative combinatorial scheme for representing knots. In this talk we will […]
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Orthogonality defect and coherence of cyclotomic lattices (Lenny Fukshansky, CMC)
Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United StatesThere are two different measures of how far a given Euclidean lattice is from being orthogonal -- the orthogonality defect and the average coherence. The first of these comes from […]
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On zeros of multilinear polynomials (Max Forst, CGU)
Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United StatesConsider rational polynomials in multiple variables that are linear with respect to some of the variables. In this talk we discuss the problem of finding a zero of such polynomials […]
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Robust properties of graphs (Asaf Ferber, UC Irvine)
Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United StatesIn this talk we will consider some notions of `robustness' of graph/hypergraph properties. We will survey some existing results and will try to emphasize the following new result (joint with […]
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The Smith normal form of a polynomial of a random integral matrix (Gilyoung Cheong, UC Irvine)
Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United StatesGiven a prime p, let P(t) be a non-constant monic polynomial in t over the ring of p-adic integers. Let X(n) be an n x n uniformly random (0,1)-matrix over […]