An inner amenable group is one in which there is a finitely additive conjugation-invariant probability measure on the non-identity elements. In this talk, we show that inner amenability is not […]
We'll be back next week!
A graphical design is a quadrature rule for a graph inspired by classical numerical integration on the sphere. Broadly speaking, that means a graphical design is a relatively small subset […]
Title: Geometric classification problems with the Bergman metric Abstract: One of the common problems in mathematics is the classification problem: When are two mathematical structures really the same? The classification […]
CCMS Colloquium invites you to a talk by Assistant Professor of Mathematics Robert Cass of Claremont McKenna College: Title: An introduction to the Langlands program Abstract: Class field theory, which was established in the early 20th century, has its origins in Gauss's law of quadratic reciprocity. As such, it allows one to determine whether certain […]
Abstract: The shape of the fluctuations as heat approaches equilibrium in an insulated body are governed by the first Neumann eigenfunction of the Laplacian. Rauch's hot spots conjecture states that the extrema of the first nontrivial Neumann Laplacian eigenfunction for a Lipschitz domain lies on the boundary. While this conjecture is false in general, its […]
A Z-module M in a number field K gives rise to a lattice in the corresponding Euclidean space via Minkowski embedding. Such lattices often carry inherited structure from the number […]
Title: Transfinite Apollonian metric Abstract: The concept of transfinite diameter of compact sets in the complex plane was introduced by Fekete in 1923. It is a generalization of the standard diameter of sets and has found many applications in the study of conformal mappings. The Apollonian metric was introduced by A. Beardon in 1995 and […]
CCMS Colloquium invites you to a talk by Ruby Kim (University of Michigan) Title: Mathematical Models of Circadian Rhythms and Seasonal Timing Abstract: The circadian clock shapes nearly 24-hour periodic rhythms throughout the body, from the activity of individual cells to our daily sleep/wake cycles. These rhythms can be self-sustained (for example, people still show circadian […]
This GEMS session will be facilitated by Professor Chiu-Yen Kao from Claremont McKenna College. Title: Finding Your Optimal Paths Abstract: Path planning plays an important role in many aspects of our daily life, among which are transportation, robotics, and optics. In this session, we will explore the mathematics behind path planning including the Dijkstra's algorithm […]
Abstract: It is common to use adjuvants in immunotherapeutic regimens to strengthen the immune response. However, multiple dosages are required making it inconvenient for the patient. Hydrogels have been proposed as a vehicle to administer adjuvant and antigen in a sustained slow release thus reducing the need for re-administration. In this instance, we use experimental […]
Given any finite set of integer points S, there is an associated function f_S that encodes S, which we call its integer point transform. One can think of this integer […]
