In this talk, we explore sequences and their autocorrelation functions. Knowing the autocorrelation function of a sequence is equivalent to knowing the magnitude of its Fourier transform. Resolving the lack of phase information is called the phase problem. We say that two sequences are equicorrelational to mean that they have the same aperiodic autocorrelation function. […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Orsola Capovilla-Searle (UC Davis) Title: Exact Lagrangian fillings of Legendrian links Abstract: An important problem in contact topology is to understand Legendrian submanifolds; these submanifolds are always tangent to the plane field given by the contact structure. Legendrian links arise as wavefronts in […]
Speaker:Jesse Wolfson, UC Irvine Title: Braids, Polynomials, and Hilbert’s 13th Problem Abstract: There are still completely open fundamental questions about polynomials in one variable. One example is Hilbert’s 13th Problem, […]
Title: Exceptional Sets for Divergent Fourier Series Abstract: A survey of some old and newer results on divergent Fourier series with some comments on how they relate to undergraduate analysis […]
This GEMS session will be facilitated by Professor David Bachman from Pitzer College. Title: How does ChatGPT work? Abstract: In 2022 ChatGPT took the world by storm and challenged our […]
The classical Noether-Lefschetz Theorem states that a suitably general algebraic surface S of degree d ≥ 4 in complex projective 3-space P3 contains no curves besides complete intersections, that is, […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Vijay Higgins (UCLA) Title: Webs and skein algebras Abstract: The Jones polynomial of a link can be computed […]
Speaker: Michelle Manes, AIM Title: Dynamical Systems and the Period 3 Implies Chaos Theorem Abstract: Sharkovskii’s theorem, sometimes called "period 3 implies chaos," concerns a one-dimensional real dynamical system: a […]
Integer partitions are ubiquitous in mathematics, arising in subjects as disparate as algebraic combinatorics, algebraic geometry, number theory, representation theory, to mathematics physics. Many of the deepest results on partitions have their origin in the work of Ramanujan. In this lecture, we will describe a completely new and unexpected role for partitions that also arises […]
We welcome all undergraduate/graduate students and faculty to attend the Topology Seminar! Speaker: Claudio Gomez-Gonzales (Carleton College - UC Irvine) Title: How hard could it be? A tour of resolvent degree Abstract: Solving algebraic equations are among the oldest problems in mathematics. In this talk, we offer a concrete, visual, and historical introduction to resolvent […]
