Past Events

In this talk, we examine two methods for frequency extrapolation. Frequency extrapolation is the problem of utilizing data processing techniques to obtain the entire spectrum of an objective signal while only a middle band is sampled. This problem is...

An "elliptic sequence" is a solution over an arbitrary integral domain of the recursion W(m+n) W(m-n) = W(m+1) W(m-1) W(n)^2 - W(n+1) W(n-1) W(m)^2, where m and n are integers. The theory of integral elliptic sequences was developed by Morgan Ward in...

How many lines may one arrange through the origin in R10 in such a way that any two of them are at least 89° apart? How about in R57? Or Rn as n tends to infinity? Using this simply stated problem as a point of departure, I will explore various areas...

Complex, multiphase fluids such as suspensions, emulsions, and foams are ubiquitous in industrial processes and consumer products. For example, vesicles and emulsion droplets can be used to stabilize nutraceuticals in foods to produce so-called...

Let F be a finite extension field of {\mathbb Q}_p. Let {\mathcal H} be the pro-p-Iwahori-Hecke algebra for {\rm GL}_n(F), with coefficients in the residue field k of {\mathcal O}_F (or a finite extension of it). We are going to discuss an exact...

Let E be an elliptic curve defined over a finite field with q elements. Hasse’s theorem says that #E(F_q) = q + 1 - t_E where |t_E| is at most twice the square root of q. Deuring uses the theory of complex multiplication to express the number of...

A group is left-orderable if it has a strict total ordering that is invariant under multiplication from the left. For countable groups, this is equivalent to acting on the real line by order-preserving homeomorphisms. A group being circularly...

Let A be an isotropic, sub-gaussian m by n matrix. We prove that the process Z_x = ||A x||_2 – m^(.5) ||x||_2 has sub-gaussian increments. Using this, we show that for any bounded set T in R^n, the deviation of ∥Ax∥2 around its mean is uniformly...

In this talk, I will give an overview of the Drosophila Dorsal Closure phenomenon in which a developing embryo is able to close an opening in the epidermis. I will present recent experimental work and prior modelling efforts. Both of these will...

In this talk, we review some classic iterative processes: Mann iterative process, Ishikawa iterative process, Halpern iterative process, Viscosity iterative process, hybrid projection iterative process, for solutions of operator equations involving...