We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Will Hoffer (UC Riverside) Title: Tube Formulae for Fractal Snowflakes Abstract: Fractals like the von Koch snowflake have rough boundaries, often having nowhere defined tangent lines/spaces. However, there is a tool useful for probing the edges of such fractals: tubular neighborhoods. In this […]
Speaker: Jessica Sidman, Professor of Mathematics and Computer Science, Amherst College Title: Frameworks in Motion: Design, Theory, and Fabrication Abstract: What do your umbrella, a folding gate, and a scissor lift have in common? They all involve frameworks made of rigid parts attached at flexible joints and are designed to move with one degree of freedom. […]
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 […]
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, a conjecture going back long before Hilbert. Indeed, the invention of algebraic topology grew out of an effort to understand how the roots of a […]
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 courses and (time permitting) leading to a brief discussion of an open question on the size of exceptional sets in divergence examples and some progress […]
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 ideas of what computers are capable of. However, few people have any sense of how this technology works. Through hands-on activities participants will learn about […]
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 diagrammatically by using skein relations, which encode the representation theory of SL(2). By considering the vector space spanned by links drawn on a surface and […]
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 function from the real line to itself that you iterate and study the orbits of points. This theorem is fascinating because of its very simple […]
