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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Algebra / Number Theory / Combinatorics Seminar
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 […]
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 […]
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 […]
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 […]
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 […]
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 […]
Noise stability of ranked choice voting (Steven Heilman, USC)
Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United StatesGiven votes for candidates, what is the best way to determine the winner of the election, if some of the votes have been corrupted or miscounted? As we saw in […]
Discrete Calculus through generating functions (Wai Yan Pong, Cal State Dominguez Hills)
Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United StatesDiscrete Calculus studies discrete structures, such as sequences and graphs, using techniques similar to those used in Calculus for continuous functions. The basic idea of generating functions is to associate […]
Systems of homogeneous polynomials over finite fields with maximum number of common zeros (Sudhir Ghorpade, IIT Bombay)
Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United StatesIt is elementary and well known that a nonzero polynomial in one variable of degree d with coefficients in a field F has at most d zeros in F. It […]
Bias in cubic Gauss sums: Patterson’s conjecture (Alex Dunn, CalTech)
Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United StatesWe prove, in this joint work with Maksym Radziwill, a 1978 conjecture of S. Patterson (conditional on the Generalized Riemann Hypothesis) concerning the bias of cubic Gauss sums. This explains […]
Towers and elementary embeddings in total relatively hyperbolic groups (Christopher Perez, Loyola University New Orleans)
Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United StatesIn a remarkable series of papers Zlil Sela classified the first-order theories of free groups and torsion-free hyperbolic groups using geometric structures he called towers, and independently Olga Kharlampovich and […]