# Ahmad Barhoumi: Painlevé-III D6 -> D8 Confluence via Bäcklund Transformations

**Time: **
Tue 2023-09-26 13.15 - 14.15

**Location: **
KTH, E34

**Participating: **
Ahmad Barhoumi (KTH)

**Abstract.**

In this talk, I will describe an approach to studying the large-n behavior near the origin of solutions to P-III constructed in this way with a generic choice of seed function. One of the main findings is that the limiting function, under appropriate scaling) solves the "double-degenerate" version of P-III, known as P-III(D8). This talk is based on the preprint arXiv:2307.11217, joint with Oleg Lisovyy, Peter Miller, and Andrei Prokhorov.