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This is a collection of open problems from workshop "Differential Geometry, Billiards, and Geometric Optics" at CIRM on October 4-8, 2021.

Dynamical Systems · Mathematics 2021-10-29 M. Bialy , C. Fierobe , A. Glutsyuk , M. Levi , A. Plakhov , S. Tabachnikov

These open problems were presented in the Problem Sessions held during the Tianyuan Workshop on Computability Theory and Descriptive Set Theory, June 16-20, 2025. The problems are organized into sections named after their contributors, in…

The work of Oh and Park ([OP]) on the deformation problem of coisotropic submanifolds opened the possibility of studying a large and interesting class of foliations with some explicit geometric tools. These tools assemble into the structure…

Geometric Topology · Mathematics 2008-05-28 Noah Kieserman

In May 2015, a conference entitled "Groups, Geometry, and 3-manifolds" was held at the University of California, Berkeley. The organizers asked participants to suggest problems and open questions, related in some way to the subject of the…

Geometric Topology · Mathematics 2015-12-16 Kelly Delp , Diane Hoffoss , Jason Fox Manning

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

These are lecture notes from a lecture series given at CIRM in the Fall 2023. They give a down-to-earth introduction to Khovanov and Seidel's categorical representation of Artin-Tits groups, emphasizing the fact that it is all explicitly…

Representation Theory · Mathematics 2024-05-24 Hoel Queffelec

We discuss some diverse open problems in the dimer model, motivated by a geometric viewpoint. This is part of a conference proceedings for the OPAC 2022 conference.

Combinatorics · Mathematics 2024-01-04 Richard Kenyon

The conference `Geometric and Asymptotic Group Theory with Applications (GAGTA) 2023: Groups and Dynamics' took place at the Erwin Schr\"odinger Institute on July 17-21. These are the problems that were proposed during the Problem Session:…

This is a survey of some problems in geometric group theory which I find interesting. The problems are from different areas of group theory. Each section is devoted to problems in one area. It contains an introduction where I give some…

Group Theory · Mathematics 2007-05-23 M. V. Sapir

On June 5, 2007 the second author delivered a talk at the Journees de l'Institut Elie Cartan entitled "Finite symmetry groups in complex geometry". This paper begins with an expanded version of that talk which, in the spirit of the…

Algebraic Geometry · Mathematics 2009-05-11 Kristina Frantzen , Alan Huckleberry

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

This is the expanded version of my talk at the workshop "Groups of Automorphisms in Birational and Affine Geometry", October 29--November 3, 2012, Levico Terme, Italy. The first section is focused on Jordan groups in abstract setting, the…

Algebraic Geometry · Mathematics 2013-10-29 Vladimir L. Popov

This is a problem list in the theory of foliations and laminations of 3-manifolds. The focus is on the relationship of foliations and laminations with other aspects of 3-manifold topology, especially with the Thurston theory of geometric…

Geometric Topology · Mathematics 2007-05-23 Danny Calegari

This article is a collection of contributions from speakers at the 2025 DEAMN [Dynamics of Electrons in Atomic and Molecular Nanoclusters] workshop at the Majorana Centre in Erice. Not ordinary contributions to a conference proceeding, this…

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

The paper gives a collection of open problems on abstract polytopes that were either presented at the Polytopes Day in Calgary or motivated by discussions at the preceding Workshop on Convex and Abstract Polytopes at the Banff International…

Combinatorics · Mathematics 2007-05-23 Egon Schulte , Asia Ivic Weiss

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

These problems were mostly presented at the problem session at the 30th British Combinatorial Conference at Queen Mary University of London on 4 July 2024. Some were contributed later by conference participants. Thank you to all the…

Combinatorics · Mathematics 2024-09-12 Peter J. Cameron

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

This note is based on a lecture delivered by the author at the Second Conference on Differential Geometry, held in Fez in October 2024. It offers an accessible introduction to biharmonic and biconservative submanifolds, exploring the…

Differential Geometry · Mathematics 2025-03-04 Stefano Montaldo
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