Difference sets in higher dimensions (David Conlon, Cal Tech)
Let d >= 2 be a natural number. We determine the minimum possible size of the difference set A-A in terms of |A| for any sufficiently large finite subset A […]
12 events found.
Algebra / Number Theory / Combinatorics Seminar
Events
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On Zoom
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Questions on Symmetric Chains (Shahriar Shahriari, Pomona)
On ZoomThe set of subsets {1, 3}, {1, 3, 4}, {1, 3, 4, 6} is a symmetric chain in the partially ordered set (poset) of subsets of {1,...,6}. It is a […]
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Niho’s last conjecture (Daniel Katz, Cal State Northridge)
On ZoomA power permutation of a finite field F is a permutation of F whose functional form is x -> x^d for some exponent d. Power permutations are used in cryptography, […]
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Frame coherence and nearly orthogonal lattices (Lenny Fukshansky, CMC)
On ZoomA frame in a Euclidean space is a spanning set, which can be overdetermined. Large frames are used for redundant signal transmission, which allows for error correction. An important parameter […]
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Recent trends in using representations in voting theory – committees and cyclic orders (Karl-Dieter Crisman, Gordon College)
On ZoomOne of the most important axioms in analyzing voting systems is that of "neutrality", which stipulates that the system should treat all candidates symmetrically. Even though this doesn't always directly […]
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Gap theorems for linear forms and for rotations on higher dimensional tori (Alan Haynes, University of Houston)
On ZoomThis talk is based on joint work with Jens Marklof, and with Roland Roeder. The three distance theorem states that, if x is any real number and N is any […]
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Equidistribution of norm 1 elements in cyclic number fields (Kate Petersen, University of Minnesota Duluth)
On ZoomBy Hilbert’s theorem 90, if K is a cyclic number field with Galois group generated by g, then any element of norm 1 can be written as a/g(a). This gives […]
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Continuous extensions of Ramanujan-expandable arithmetic functions (Matthew Fox, Perimeter Institute for Theoretical Physics and Chai Karamchedu, Sandia National Labs)
On ZoomWe describe a natural way to continuously extend arithmetic functions that admit a Ramanujan expansion and derive the conditions under which such an extension exists. In particular, we show that […]
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Peg solitaire in multiple colors on graphs (Tara Davis, Hawaii Pacific University and Roberto Soto, Cal State Fullerton)
On ZoomPeg solitaire is a popular one person board game that has been played in many countries on various board shapes. Recently, peg solitaire has been studied extensively in two colors on […]
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Covering by polynomial planks (Alexey Glazyrin, University of Texas Rio Grande Valley)
On ZoomIn 1932, Tarski conjectured that a convex body of width 1 can be covered by planks, regions between two parallel hyperplanes, only if the total width of planks is at […]
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Geometrization of Markov numbers (Oleg Karpenkov, University of Liverpool)
TBAIn this talk we link discrete Markov spectrum to geometry of continued fractions. As a result of that we get a natural generalization of classical Markov tree which leads to […]
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A conjugacy criterion for two pairs of 2 x 2 matrices over a commutative ring (Bogdan Petrenko, Eastern Illinois University)
On ZoomI will explain how to apply presentations of algebras (together with some classical results from non-commutative algebra) to obtain some 5 polynomial invariants telling us when two pairs of 2x2 […]