Week of Events
Applied Math Seminar — Illia Karabash (IAMM of NAS of Ukraine and TU Dortmund)
Applied Math Seminar — Illia Karabash (IAMM of NAS of Ukraine and TU Dortmund)
Title: 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 […]
Gap theorems for linear forms and for rotations on higher dimensional tori (Alan Haynes, University of Houston)
Gap theorems for linear forms and for rotations on higher dimensional tori (Alan Haynes, University of Houston)
This 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 […]
Two-Bridge Knots Admit no Purely Cosmetic Surgeries (Thomas Mattman, California State University, Chico)
Two-Bridge Knots Admit no Purely Cosmetic Surgeries (Thomas Mattman, California State University, Chico)
(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 […]
On sparse geometry of numbers (Prof. Lenny Fukshansky)
On sparse geometry of numbers (Prof. Lenny Fukshansky)
Title: 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 […]