Calendar

Posted September 24, 2026

Discussion and Training in Combinatorics

Hailey Garcia, Louisiana State University
Wild and Domestic Combinatorial Species

Many everyday combinatorial objects, from graphs to permutations, can be realised as a structure known as a combinatorial species. Intuition for these species is varied, with some species simple to define axiomatically, others algorithmically, and still others through functional equations. We discuss the basic operations and definitions of combinatorial species, especially exploring their close relationship with generating functions. We demonstrate instructive examples, and, time permitting, a particular species encountered in the wild.

Event contact: jgarc86@lsu.edu

Posted August 26, 2026
Last modified September 28, 2026

Informal Analysis Seminar Questions or comments?

Hayden Bromley, Louisiana State University
A Peridynamic Field Theory for Damage and Plasticity in Quasi-Brittle Materials.

A field theory developed from a peridynamic approach and designed for predicting damage and plasticity in quasi-brittle materials will be presented. The model is developed from a nonlocal form of the elastic wave equation wherein we replace spatial differential operators with integral operators. Damage and plasticity are captured through a history-dependent two point phase field, so that no separate evolution equation for the phase field is needed. A detailed look at how the model is formulated will be given as well as a terse outline showing well-posedness of a solution. After this, numerical results will be presented exhibiting agreement with experiments both qualitatively and quantitatively. This is joint work with Robert Lipton.

Event contact: Laura Kurtz

Posted August 27, 2026

Informal Geometry and Topology Seminar Questions or comments?

Evan Short, Louisiana State University
TBD

TBD