During the special event

I gave the short lecture + conversation

combatir la nada / combattre le néant / fighting emptiness

(text read here)

During the special event

I gave the short lecture + conversation

combatir la nada / combattre le néant / fighting emptiness

(text read here)

For the Paris Logic Seminar, I gave the lecture

Partitions of well-founded trees and two connections with model theory.

**Abstract**: in 2003, Komjath and Shelah proved a partition theorem on scattered order types; these in turn could be understood as partition relations for classes of well-founded trees. Recently, two different kinds of applications of the same partition relation have been used in infinitary logic and in model theory: one by Väänänen and Velickovic on games related to Shelah’s logic , another by Shelah and myself on the “canonical tree” of an AEC (a generalization of the Scott sentence for an abstract elementary class). I will describe the Komjath-Shelah result in the first part and then narrow in the applications (with more details on the second one, from some recent joint work with Shelah).

I was invited to speak at the conference On the Infinite – An Interdisciplinary Symposium, at the Institut Henri Poincaré in Paris in October 2017.

My slides: Infinity, between E-mergence and De-finition.