Events
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Emmy Noether Room, Estella 1021, Pomona College, 610 N. College Ave., Claremont, CA, United States
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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 apply (such as in primary systems or those with intentional incumbent protection), it is extremely important both in theory and practice.If the voting systems in […]
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On Invariants for Surface-Links in Entropic Magmas via Marked Graph Diagrams (Seonmi Choi, Kyungpook Natl U, Korea)
ZoomM. Niebrzydowski and J. H. Przytycki defined a Kauffman bracket magma and constructed the invariant P of framed links in 3-space. The invariant is closely related to the Kauffman bracket polynomial. The normalized bracket polynomial is obtained from the Kauffman bracket polynomial by the multiplication of indeterminate and it is an ambient isotopy invariant for […]
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Solving the Race in Backgammon (Prof. Arthur Benjamin)
Zoom meeting , United StatesTitle: Solving the Race in Backgammon Speaker: Prof. Arthur Benjamin Smallwood Family Professor of Mathematics Harvey Mudd College Abstract: Backgammon is perhaps the oldest game that is still played today. It is a game that combines luck with skill, where two players take turns rolling dice and decide how to move their checkers […]
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Modeling Zoonotic Infectious Diseases from Wildlife to Humans (Prof. Linda J. S. Allen)
Zoom meeting , United StatesTitle: Modeling Zoonotic Infectious Diseases from Wildlife to Humans Speaker: Prof. Linda J. S. Allen, P. W. Horn Distinguished Professor Emeritus Texas Tech University Abstract: Zoonotic infectious diseases are diseases transmitted from animals to humans. It is estimated that over 60% of human infectious diseases are zoonotic. The Centers for Disease Control and Prevention has identified eight priority zoonoses […]
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Applied Math Seminar — Illia Karabash (IAMM of NAS of Ukraine and TU Dortmund)
Emmy Noether Room, Estella 1021, Pomona College, 610 N. College Ave., Claremont, CA, United StatesTitle: Pareto optimization of resonances and optimal control methods Abstract: First successes in fabrication of high-Q optical cavities two decades ago led to active applied physics and numerical studies of optimization problems involving resonances. The questions is how to design an open resonator that has an eigenvalue as close as possible to the real line […]
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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 positive integer, the points x, 2x, … , Nx modulo 1 partition the unit interval into component intervals having at most 3 distinct lengths. We […]
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Two-Bridge Knots Admit no Purely Cosmetic Surgeries (Thomas Mattman, California State University, Chico)
Zoom(Joint with Ichihara, Jong, and Saito). We show that two-bridge knots admit no purely cosmetic surgeries, ie no pair of distinct Dehn surgeries on such a knot produce 3-manifolds that are homeomorphic as oriented manifolds. Our argument is based on a recent result by Hanselman and a study of signature and finite type invariants of […]
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On sparse geometry of numbers (Prof. Lenny Fukshansky)
Shanahan B460 (HMC) and Zoom - HybridTitle: On sparse geometry of numbers Speaker: Prof. Lenny Fukshansky, Department of Mathematics, Claremont McKenna College Abstract: Geometry of Numbers is an area of mathematics pioneered by Hermann Minkowski at the end of the 19th century. He achieved stunning success introducing a novel geometric framework into the study of algebraic numbers, prompting mathematicians of later generations to compare […]
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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 rise to a natural height function on elements of norm 1. I’ll discuss equidistribution problems and show that these norm 1 elements are equidistributed (in […]
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Systematically Detecting Flypes and Hexagonal Mosaics (Hugh Howards, Wake Forest University)
ZoomWe talk about building knots using mosaics which were as introduced as a way of modeling quantum knots by Lomonaco and Kauffman and a newer variant, hexagonal mosaics, introduced by Jennifer McLoud-Mann. In the process we find a new bound on crossing numbers for hexagonal mosaics and find an infinite family of knots which do […]
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CCMS Field Committee Meeting
Shanahan B460, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United StatesThe Field Committee Meeting is our chance to socialize with our colleagues and coordinate our course offerings for the coming academic year (2022-2023). Please come to discuss course offerings and other synergistic items. Refreshments in the Shanahan sunken courtyard at HMC starting at 4:00, meeting in Shanahan B460 at 4:20. We will be back in […]