Konferenzen  >  Mathematik  >  Geometrie und Topologie

The Hausdorff Research Institute for Mathematics (HIM)

Analytic questions of a discrete nature are ubiquitous in many areas of mathematics and theoretical computer science. The purpose of this conference is to bring together a diverse group of experts working, broadly, on Discrete Analysis with particular emphasis on questions having a geometric component. The topics will include Boolean analysis, vector-valued harmonic analysis, metric embeddings, geometry of graphs and groups, and aspects of discrete probability and theoretical computer science.

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Institute for Computational and Experimental Research in Mathematics (ICERM)

In recent years, there has been a significant increase in the interaction between harmonic analysis and convex geometry, leading to solutions for several longstanding open problems, the discovery of new phenomena, as well as many new intriguing open questions. These connections were studied during the Fall 2022 ICERM semester program Harmonic Analysis and Convexity. The objective of this workshop is to revisit and review the results produced during the semester and the subsequent year. The primary areas of focus for the workshop will encompass: The Fourier approach to Geometric Tomography; Volume and Duality; the Bellman technique for extremal problems in harmonic analysis; Convexity of solutions to Hamilton–Jacobi–Bellman equations; as well as numerical computations and computer-assisted proofs: Exploring the use of computational methods for theoretical aspects, including optimal algorithms, as well as practical implementation.

ICERM;     Email: info@icerm.brown.edu

harmonic analysis, convex geometry, computation and computer-assisted proofs

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Isaac Newton Institute for Mathematical Sciences

Equivariant techniques have played a critical role in the proofs of several major results and developments in algebraic topology over the past decade. Examples include the solution of the famous Kervaire invariant one problem, computations of previously inaccessible homotopy groups of spheres based on the motivic Adams spectral sequence, and the new equivariant approach to THH, TC, and algebraic K- theory. The programme will unite experts and young researchers who apply homotopic methods in algebra (operads), algebraic topology, and algebraic geometry (motivic homotopy theory) around the common theme of equivariant methods. Though these methods have already led to significant breakthroughs, their potential is clearly far from exhausted. We foresee that this programme will incite further developments and greater synergies between equivariant homotopy theory and the themes of the programme centred around three workshops: "Operads and calculus", "Chromatic and motivic homotopy theory" and "THH, TC and algebraic K- theory".

Algebra,    Kurse und Veranstaltungen für Studenten der Mathematik

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The aim of the project is to reinforce the collaboration between scientists from austrian research institutions and international institutions around the topic of infinite dimensional geometry. Direct applications of the theoretical aspects of infinite dimensional geometry to numerical schemes for solving partial differential equations coming from hydrodynamics, as well as medical applications of shape analysis are part of the program. The programme will last five 5 weeks, each devoted to different topic ranging from abstract theoretical questions to very concrete applications (e.g. medical).

Kurse und Veranstaltungen für Physikstudenten,    Mathematische Physik

Institute for Computational and Experimental Research in Mathematics (ICERM)

Given an incidence structure, one may model a variety of geometric problems. This Semester Program will revolve around two fundamental examples and their applications to modern challenges in the study, analysis, and design of materials. (1) Packings and patterns of circles where the underlying combinatorics are mixed with advanced geometric concepts and strong links are made to discrete differential geometry. (2) The rigidity and flexibility of bar-joint structures where real algebraic geometry is intertwined with sparse graph theory and matroidal techniques. A prime objective of the program is to advance the applicability of these topics to fundamental applications, most notably in statistical physics and materials science.

The program will integrate diverse fields of discrete mathematics, geometry, theoretical computer science, mathematical biology, and statistical and soft matter physics. Various workshops will be designed to attract both theoretical and applied practitioners and to stimulate the cross-fertilization of ideas between these disparate communities.

ICERM;     Email: info@icerm.brown.edu

Metallurgie und Werkstoffkunde,    Thermodynamik, Hydrodynamik und Statistische Mechanik

The SCGAS is an annual conference on geometric analysis and related fields hosted jointly by UC Irvine and UC San Diego.

The 2025 SCGAS conference will feature the following speakers:

Simon Brendle (Columbia University)

Alice Chang (Princeton University)

Pengfei Guan (McGill University)

Lan-Hsuan Huang (University of Connecticut)

Christos Mantoulidis (Rice University)

Valentino Tosatti (New York University)

Ryan Unger (Stanford University)

Differential Geometry, Geometric Analysis

Analysis,    Infinitesimalrechnung, Differentialgleichungen, Integralrechnung

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

University of Potsdam

The meeting is part of a series of meetings initiated by Professor Schulze devoted to micro-local, singular and global analysis and their interactions with geometry and mathematical physics.

Analysis,    Mathematische Physik

Institute for Computational and Experimental Research in Mathematics (ICERM)

This workshop brings together researchers from three distinct streams of mathematics: the classical rigidity theory of bar-joint and tensegrity frameworks in combinatorics and discrete geometry; the theory of generalized circle packing that arose from the study of 3-manifolds in geometric topology, extending to sphere packing and jamming; and discrete differential geometry. A scattering of results in recent years has started to forge connections among these fields. The main aim of the workshop is to encourage their cross-fertilization, with particular emphasis on the rigidity of inversive distance packings. Participants will attend presentations on cutting-edge research and initiate new collaborations.

ICERM;     Email: info@icerm.brown.edu

Angewandte Mathematik (allgem.),    Metallurgie und Werkstoffkunde

Joint Research Center for Advanced and Fundamental Mathematics for Industry

Faculty of Mathematics at the Universität Regensburg

Algebra,    Analysis

Institute for Computational and Experimental Research in Mathematics (ICERM)

This workshop will be centered on recent advances in graph rigidity and interactions between rigidity, algebraic statistics, and matroid theory. Three major advances are the recent resolution of the matroid maximality conjecture, the newly developed link to maximum likelihood estimation in Gaussian graphical models, and the recent positive resolution of Lovasz and Yemini's connectivity conjecture for generic rigidity. The workshop will showcase a diverse sample of current work addressing fundamental problems in graph rigidity, algebraic matroids, and algebraic statistics.

ICERM;     Email: info@icerm.brown.edu

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

CIRM – Centre International de Rencontres Mathématiques

The idea of making space noncommutative is probably as old as quantum mechanics, but it has developed considerably since the mid 80’s in various directions, from pure mathematics to theoretical physics, yielding some phenomenological predictions in high energy physics. The aim of this conference is the interplay between noncommutative geometry and physics.

Isaac Newton Institute for Mathematical Sciences

Algebra,    Kurse und Veranstaltungen für Studenten der Mathematik

Institute for Computational and Experimental Research in Mathematics (ICERM)

The geometric arrangement of a material’s constituents plays an important role in governing its behavior. Concepts from discrete mathematics to describe these geometric arrangements, including notions of rigidity and flexibility, can bring fundamental insight into how a material might respond to stress, be designed, be reconfigured, etc. Beyond materials, the notions of network rigidity can be applied to more abstract networks and geometries, such as those found in data science. This workshop aims to build connections between the field of mathematical rigidity theory, other topics in applied mathematics, and related areas of science and engineering.

ICERM;     Email: info@icerm.brown.edu

Graphentheorie und Kombinatorik,    Chemikalien und Materialwissenschaft

CIRM – Centre International de Rencontres Mathématiques

Friezes, introduced 50 years ago by Coxeter, are patterns of integers defined by a simple, local condition. They consist of a finite (or infinite) number of rows written in a lattice, starting with a row of 0s and a row of 1s and satisfying a local SL2-rule: for any four neighbours a, b, c, d forming a diamond we require ad − bc = 1. Since the discovery of links to cluster algebras of type A, a plethora of generalisations have been studied in the last decades. With this workshop, we will provide a platform to establish new links between friezes and research areas in geometry, algebra and combinatorics.

Algebra,    Graphentheorie und Kombinatorik

Isaac Newton Institute for Mathematical Sciences

Algebra,    Kurse und Veranstaltungen für Studenten der Mathematik

CIRM – Centre International de Rencontres Mathématiques

This big event will be the concluding conference of the semester. As is, presentations will cover a wide variety of topics from Real Algebraic Geometry and Birational Geometry. Most of the targeted speaker will be experts of the three subdomains we discuss in the project and some people are already involved in the other events but we want also to bring these subjects to a larger audience and some speakers will discuss of hot subjects from other parts of Real Algebraic Geometry and Birational Geometry.

CIRM – Centre International de Rencontres Mathématiques

The interactions between dynamics and geometry in dimensions up to three are fertile, they have been at the origin of many recent discoveries. A particularly nice example is the genericity of the set of three-dimensional Reeb flows admitting infinitely many periodic orbits. These interactions are also at the heart of a number of current research programs around the world in various directions. Transverse geometric structures (possibly singular), for example, represent a promising line of work for the study of Anosov flows in dimension three. Methods and concepts from one-dimensional dynamical systems, singular geometric structures on surfaces (of which translation surfaces are the paradigmatic example) and three-dimensional flows are fundamental. These ideas permeate a large part of mathematics, inspiring many higherdimensional notions, but are not as well-known as they should be by a wider public of young researchers in geometry and dynamics. The aim of this summer school is to help filling this gap, through three in-depth mini-courses on circle diffeomorphisms, translation surfaces and the dynamics of three-dimensional Reeb flows.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Isaac Newton Institute for Mathematical Sciences

Equivariant homotopy theory in context

Algebra,    Kurse und Veranstaltungen für Studenten der Mathematik

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

The Fields Institute for Research in Mathematical Sciences

Homotopy theory is in the midst of a renaissance as its usefulness in other areas of mathematics is becoming increasingly recognised. From polyhedral products in geometric group theory, to combinatorial methods in group theory, to topological properties of manifolds and spaces of embeddings, to Morava K-theory in symplectic geometry, to simplicial methods in topological data analysis, to a host of applications in mathematical physics - and these name only a few areas of interaction - homotopy theory over the past ten to fifteen years has significantly extended its reach. This program will assemble a wide range of leading experts to discuss the state of the art in current research, both in terms of core fundamental problems and crossover to other areas, and explore exciting new directions.

The Fields Institute for Research in Mathematical Sciences

This workshop will accelerate development of new directions in chromatic and unstable homotopy theory and in the homotopy theory of polyhedral products. Key will be the exploration of areas of interaction: unstable homotopy theory and polyhedral products have substantial existing intersection while recent developments in chromatic homotopy theory suggest exciting new intersections with unstable homotopy theory and polyhedral products.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Interactions between Group Theory and Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Interactions between Group Theory and Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

Kurse und Veranstaltungen für Studenten der Mathematik,    Gruppentheorie

The Fields Institute for Research in Mathematical Sciences

Group theory and topology have a long and rich history of interaction. This workshop will bring together experts working on different aspects of this interaction in order to share ideas and boost the development of new methods that can be applied to the topology of configuration spaces, braid groups, mapping class groups and manifolds, and spaces of commuting elements.

Gruppentheorie,    Kurse und Veranstaltungen für Studenten der Mathematik

The René 25 conference will bring together renowned international researchers in mathematics to celebrate the research interests of René Schoof, which include the fields of algebraic number theory, arithmetic algebraic geometry, computational number theory and coding theory.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Neuronale Netze und Künstliche Intelligenz, Maschinelles Lernen,    Optimierungsrechnung, Entscheidungsunterstützung

Banach Center

Analysis,    Statistik, Spieltheorie

Isaac Newton Institute for Mathematical Sciences

Our meeting will bring together researchers in various fields of mathematics such as Geometry, Combinatorics and Algebra. Through scientific talks new directions will be given and open problems will be proposed aiming at new collaborations among the participants.

Geometry, Combinatorics, Commutative Algebra.

Graphentheorie und Kombinatorik,    Algebra