Week of Events
Combinatorics and representation theory of Temperley-Lieb algebras (Zajj Daugherty, CUNY)
Combinatorics and representation theory of Temperley-Lieb algebras (Zajj Daugherty, CUNY)
The classical, one-boundary, and two-boundary Temperley-Lieb algebras arise in mathematical physics related to solving certain rectangular lattice models.They also have beautiful presentations as "diagram algebras", meaning that they have basis elements depicted as certain kinds of graphs, and multiplication rules are given by stacking diagrams and gluing of vertices. In this talk, we will explore […]
Topology Seminar: Jesse Levitt (USC)
Topology Seminar: Jesse Levitt (USC)
Title: Understanding Structure in the Single Variable Knot Polynomials Abstract: We examine the dimensionality and internal structure of the aggregated data produced by the Alexander, Jones, and Z0 polynomials using topological data analysis and dimensional reduction techniques. By examining several families of knots, including over 10 million distinct examples, we find that the Jones data is well described as a three […]
Freeways and Circle Packing
Freeways and Circle Packing
The beauty of mathematics is often encountered when one discovers that two apparently very different phenomena actually share a common origin. I will discuss such a surprising connection between two apparently unrelated mathematical objects. One is purely combinatorial: the number of ways one can drive from USC to the Claremont Colleges. The other one is […]
Regime transitions of liquid films flowing down a fiber (Applied Math Talk given by Prof. Claudia Falcon, UCLA)
Regime transitions of liquid films flowing down a fiber (Applied Math Talk given by Prof. Claudia Falcon, UCLA)
Recent experiments of thin films flowing down a vertical fiber with varying nozzle diameters present a wealth of new dynamics that illustrate the need for more advanced theory. Determining the regime transitions from absolute (Rayleigh- Plateau) instability is useful in the design of heat and mass exchangers for applications that include cooling systems and desalination. We present a […]
GEMS Workshop: Symmetry with Professor Michael Orrison, from Harvey Mudd College
GEMS Workshop: Symmetry with Professor Michael Orrison, from Harvey Mudd College
TOPIC: Symmetry Symmetry seems to be an important idea in mathematics, but how do mathematicians think about symmetry? In this workshop, we’ll talk about mathematical objects called groups, see how they are used to describe symmetry, and then put them to work to help us answer some nontrivial counting problems. WHAT IS GEMS: The Gateway to […]