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Below are the problems that I formulated at Open Problems Session of {\it Workshop on Group Actions on Rational Varieties}, McGill University and University of Montreal, Canada, March 2002. To appear in: "Affine Algebraic Geometry"…

Algebraic Geometry · Mathematics 2007-05-23 Vladimir L. Popov

We describe a list of open problems in random matrix theory and the theory of integrable systems that was presented at the conference Asymptotics in Integrable Systems, Random Matrices and Random Processes and Universality, Centre de…

Mathematical Physics · Physics 2017-03-16 Percy Deift

These notes are a summary of the problem session discussions at various CANT (Combinatorial and Additive Number Theory Conferences). Currently they include all years from 2009 through 2019 (inclusive); the goal is to supplement this file…

Number Theory · Mathematics 2025-05-29 Steven J. Miller

The analysis of configurable systems, i.e., systems those behaviors depend on parameters or support various features, is challenging due to the exponential blowup arising in the number of configuration options. This volume contains the…

Software Engineering · Computer Science 2023-10-31 Maurice H. ter Beek , Clemens Dubslaff

This document presents a series of open questions arising in matrix computations, i.e., the numerical solution of linear algebra problems. It is a result of working groups at the workshop Linear Systems and Eigenvalue Problems, which was…

The TTE approach to Computable Analysis is the study of so-called representations (encodings for continuous objects such as reals, functions, and sets) with respect to the notions of computability they induce. A rich variety of such…

Computational Complexity · Computer Science 2023-06-22 Carsten Rösnick-Neugebauer

This file is composed of questions that emerged or were of interest during the workshop "Interactions between Descriptive Set Theory and Smooth Dynamics" that took place in Banff, Canada on 2022.

We survey recent developments in the theory of achievement sets and present a substantial collection of open problems.

Classical Analysis and ODEs · Mathematics 2025-12-22 Szymon Głąb , Franciszek Prus-Wiśniowski

In connection to the development of the field of Combinatorics on Words, we present a list of open problems and conjectures that were stated during the ten last meetings WORDS. We wish to continually update the present document by adding…

Formal Languages and Automata Theory · Computer Science 2017-05-12 Jean Néraud

Problems presented at the open-problem session of the 14th Annual ACM Symposium on Computational Geometry are listed.

Computational Geometry · Computer Science 2009-09-25 Pankaj K. Agarwal , Joseph O'Rourke

This is a list of problems that were collected from participants at the Comparative Prime Number Theory Symposium held at UBC from June 17 to June 21, 2024. Its goal is to stimulate research and future collaborations in this growing field.…

Number Theory · Mathematics 2024-07-08 Alia Hamieh , Habiba Kadiri , Greg Martin , Nathan Ng

Open problems from the 15th Annual ACM Symposium on Computational Geometry.

Computational Geometry · Computer Science 2007-05-23 Erik D. Demaine , Joseph O'Rourke

We give a selection of major open problems involving selective properties, diagonalizations, and covering properties for sets of real numbers. This is a revision of the version published as a chapter in the book \textbf{Open Problems in…

General Topology · Mathematics 2011-10-19 Boaz Tsaban

We survey results on the formalization and independence of mathematical statements related to major open problems in computational complexity theory. Our primary focus is on recent findings concerning the (un)provability of complexity…

Computational Complexity · Computer Science 2025-04-08 Igor C. Oliveira

This volume of the Electronic Proceedings in Theoretical Computer Science (EPTCS) contains extended abstracts of talks to be presented at the Seventh International Conference on Computability and Complexity in Analysis (CCA 2010) that will…

Computational Complexity · Computer Science 2010-06-04 Xizhong Zheng , Ning Zhong

We describe a list of open problems in random matrix theory and integrable systems which was presented at the conference ``Integrable Systems, Random Matrices, and Applications'' at the Courant Institute in May 2006.

Mathematical Physics · Physics 2007-12-07 Percy Deift

To enable the study of open sets in computational approaches to mathematics, lots of extra data and structure on these sets is assumed. For both foundational and mathematical reasons, it is then a natural question, and the subject of this…

Logic · Mathematics 2020-10-02 Dag Normann , Sam Sanders

This article contains a collection of problems contributed during the course of the conference.

Algebraic Topology · Mathematics 2009-03-31 Carles Broto , Nguyen H V Hung , Nicholas J Kuhn , John H Palmieri , Stewart Priddy , Nobuaki Yagita

This is a survey of open problems in different parts of combinatorial and additive number theory. The paper is based on lectures at the Centre de Recerca Matematica in Barcelona on January 23 and January 25, 2008.

Number Theory · Mathematics 2016-12-30 Melvyn B. Nathanson

This is a renovated list of open problems, to appear in: "Affine Algebraic Geometry" conference Proceedings volume in Contemporary Mathematics series of the Amer. Math. Soc. Ed. by Jaime Gutierrez, Vladimir Shpilrain, and Jie-Tai Yu.

Algebraic Geometry · Mathematics 2007-05-23 Mikhail Zaidenberg
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