Week of Events
Applied Math Seminar — Applied Attractions at Claremont Colleges
Applied Math Seminar — Applied Attractions at Claremont Colleges
During this student-centered Applied Math Seminar, there will be discussion and presentation about upcoming courses in applied mathematics to help students make their enrollment choices for Fall 2022 and beyond.
Geometrization of Markov numbers (Oleg Karpenkov, University of Liverpool)
Geometrization of Markov numbers (Oleg Karpenkov, University of Liverpool)
In 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 an efficient computation of Markov minima for all elements in generalized Markov trees.
Cusps in Convex Projective Geometry (Martin Bobb, IHES)
Cusps in Convex Projective Geometry (Martin Bobb, IHES)
Convex real projective structures generalize hyperbolic structures in a rich way. We will discuss a class of manifolds introduced by Cooper Long and Tillmann, which include finite-volume cusped hyperbolic manifolds and other manifolds with well-controlled ends. These manifolds have nice deformation theoretic properties, and we will conclude with an existence theorem for novel structures on […]
Geometry of continued fractions (Prof. Oleg Karpenkov)
Geometry of continued fractions (Prof. Oleg Karpenkov)
Title: Geometry of continued fractions Speaker: Oleg Karpenkov, Department of Mathematical Sciences, University of Liverpool Abstract: In this talk we introduce a geometrical model of continued fractions and discuss its appearance in rather different research areas: -- values of quadratic forms (Perron Identity for Markov spectrum) -- the 2nd Kepler law on planetary motion -- Global relation […]