Conferences  >  Mathematics  >  Numerical Analysis and Computational Mathematics  >  China

Select a location
1
Workshop — Recursion Theory and its Applications
15 Oct 2023 - 20 Oct 2023 • Hangzhou, China
Organizer:
Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China
Abstract:
Recursion theory measures the complexity of mathematical objects in terms of what is computable, in other words, what can be determined by a computer with no space or time limitations. We can define, for example, computable sets of natural numbers, computable (continuous) functions on the real numbers, or computably enumerable open subsets of the reals. Adding an oracle---an outside source of information---allows us to extend the reach of recursion theory beyond the computable. For example, every continuous function on the real numbers is a computable function relative to some oracle. For another example, a set of real numbers has Hausdorff dimension zero if and only if there is an oracle relative to which every real in the set can be significantly compressed. In this way, recursion theory offers a fine-grained way to analyze some of the most central notions in mathematics. This has recently led to deep applications to analysis, number theory, and set theory. The focus of this workshop is on understanding and extending these applications of recursion theory.
Event listing ID:
1523383


Conference-Service.com offers, as part of its business activities, a directory of upcoming scientific and technical meetings. The calendar is published for the convenience of conference participants and we strive to support conference organisers who need to publish their upcoming events. Although great care is being taken to ensure the correctness of all entries, we cannot accept any liability that may arise from the presence, absence or incorrectness of any particular information on this website. Always check with the meeting organiser before making arrangements to participate in an event!

No tracking | No pop-ups | No animations
Last updated: 16 November 2022