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6 - 11 June 2022, 2nd Conference on Ultrafilters & Ultraproducts across mathematics and related topics (ULTRAMATH 2022), Pisa (Italy) and/or Virtual
The International Conference "ULTRAMATH 2022" aims to present recent results in the whole spectrum of mathematics which are grounded on the use of ultrafilters and ultraproducts. Its main goals:
- Disseminate information about the various techniques related to the use of ultrafilters and ultraproducts, and their potential to attack open problems.
- Bring together researchers with different backgrounds, and encourage their collaborations and interactions, especially on topics connecting different areas of mathematics.
This is the second edition of "UltraMath", after the one held in Pisa in 2008. After two years of postponement, we are strongly committed to holding this 2022 edition with the physical presence of lecturers and participants. We will make every effort to ensure that this is done safely; in the unfortunate case of a new emergency due to the pandemic, UltraMath 2022 will take place anyway as a hybrid or as an online event, depending on the situation.
Participants are invited to submit abstracts. Abstracts should be written in LaTeX (also plain text files are ok) and fit on at most one page when processed. The covered topics of UltraMath 2022 include (but are not limited to): Additive and Combinatorial Number Theory, Combinatorics and Ramsey Theory, Algebra and Geometry, General Topology, Measure Theory, Ergodic Theory and Dynamics, Functional Analysis and Metric Spaces, Nonstandard Analysis and Model Theory, Generalized Spaces and Differential Equations, and Set Theory.
Greater prominence will be given to those results that satisfy (most of) the following conditions:
- The results can be formulated and presented in non-specialist terms, and be in principle understandable by any practicing mathematician.
- The usage of ultrafilters/ultraproducts is important (or even essential) in obtaining these results.
- The results connect different areas of mathematics.
- The results reveal new facets of known important topics.
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