Seminar - The Determinacy of Infinite Games
School of Mathematics and Statistics Research Seminar
Speaker: Juan P. Aguilera
Time:
Thursday 16th July 2026 at 10:00 AM -
11:00 AM
Location:
CO 431 -- the usual seminar room,
Cotton 431
Groups:
"Mathematics"
"Statistics and Operations Research"
Abstract
Please job us at the SMS seminar.
The talk is for non-experts, so everyone is welcome!
Abstract: Descriptive Set Theory is the study of Polish spaces (such as the real numbers) from the point of view of definability, complexity, and structure. In particular, it studies how the properties of simple or “explicit" sets differ from those of complex sets, such as those obtained from the Axiom of Choice. In this talk, we will give an overview of the theory of infinite two-player perfect-information games, including a discussion on the possible existence of winning strategies, and the consequence that these have on the structural and regularity properties of the real numbers.