Konferenzen zum Thema Geometrie und Topologie in den Vereinigten Staaten (USA)

This program is devoted to the investigation of universal analytic and geometric objects that arise from natural probabilistic constructions, often motivated by models in mathematical physics. Prominent examples for recent developments are the Schramm-Loewner evolution, the continuum random tree, Bernoulli percolation on the integers, random surfaces produced by Liouville Quantum Gravity, and Jordan curves and dendrites obtained from random conformal weldings and laminations. The lack of regularity of these random structures often results in a failure of classical methods of analysis. One goal of this program is to enrich the analytic toolbox to better handle these rough structures.

Kurse und Veranstaltungen für Studenten der Mathematik,    Algebra

SMCG is sponsored by the National Science Foundation and by The University of Texas at Dallas.

University of Iowa, Department of Mathematics

Some datasets are too small for standard statistical/data analysis to accurately characterize the data. Others are extremely large and data size reduction methods may be needed. One solution is to use topological data analysis to simplify and/or visualize data. This workshop will include both tutorials and research talks on topological techniques for visualizing data.

topological data analysis, TDA mapper, computational topology, persistent homology

This conference is in the primary algebraic research areas of Michael J. Larsen: Algebraic Number Theory, Arithmetic Geometry and Group Theory. The talks will be aimed at a broad swath of algebraists at all levels. It is our hope to foster interactions across these areas in the spirit of Michael’s own body of work. There will be a contributed talks session (20-30 minutes) for young mathematicians and a professional development workshop.

Algebra,    Zahlentheorie, Arithmetik

Greg Friedman, Texas Christian University

The 39th Annual Workshop in Geometric Topology will be held online June 6-8, 2022. The featured speaker will be Jessica Purcell of Monash University, who will give a series of three one-hour lectures on using hyperbolic geometry as a tool to study 3-manifolds and knot theory. Participants are invited to contribute talks of 20 minutes. Contributed talks need not be directly related to the topic of the principal lectures. Title and abstracts must be submitted by May 6. Talks will be selected in a way that provides a balanced collection of topics and respects the historical traditions of the workshop. Earlier responses may be given some preference. Applicants will be notified whether their talk has been accepted by May 23.

Tel.: [817-257-6343];     Email: g.friedman@tcu.edu

3-manifolds, hyperbolic geometry, knot theory, geometric topology

A conference on the interactions between geometry, arithmetic, and groups will be held at the University of Texas, Austin, June 20-24, 2022, celebrating the accomplishments and influences of Alan W. Reid.

Gruppentheorie,    Zahlentheorie, Arithmetik

CCAAGS-22 aims to bring together researchers working in the creative mixture of combinatorial and computational ideas in applied algebraic geometry. Part of this event will celebrate Bernd Sturmfels and his contributions to the field.

Graphentheorie und Kombinatorik,    Algebra

Western Washington University

Join us for a five-day workshop hosted by Western Washington University. Mornings will be dedicated to talks, and in the afternoons, participants will work on open problems related to 4-manifold trisections in small groups.

Email: zupan@unl.edu

trisections, 4-manifolds, low-dimensional topology

Texas A&M University

The topic of this concentration week is metric geometry, to be held in-person at Texas A&M University in College Station, Texas. The conference will feature a variety of short research talks by participants as well as three mini-courses. Talks in any area broadly construed as metric geometry are welcome. Such areas include, but are not limited to, random geometries, metric graph theory, geometric group theory, and geometric functional analysis. The main goals of the conference are to provide a platform for participants to circulate their research achievements, expose them to new research topics, and open doors for future collaborations.

Part of the 2022 Texas A&M Workshop in Analysis and Probability

Mathematical Sciences Research Institute (MRSI)

The summer school will lead participants from appealing, simple-to-state problems at confluence of combinatorics, geometry, and topology to sophisticated topological methods that are required for their resolution. In recent years topological methods have found numerous novel applications in mathematics and beyond, such as in data science, machine learning, economics, the social sciences, and biology. The problems we will discuss are particularly well-suited to rapidly put students in a position to approach related research questions.

Mathematical Sciences Research Institute (MRSI)

The goal of this summer school is to give students crash courses in tropical and logarithmic geometry, with a particular focus on the applications in enumerative geometry and moduli theory.

Kurse und Veranstaltungen für Studenten der Mathematik,    Algebra

University of California Davis

Each day will be dedicated to a specific topic. Mornings will consist of three research talks on this topic, focusing on recent developments and useful techniques for doing research. The first talk will be given by one of the leading mentors, the other two talks will be given by participants. Afternoons will consist of research working groups, where participants break into groups to do research on open problems.

University of California Davis

Each day will be dedicated to a specific topic. Mornings will consist of three research talks on this topic, focusing on recent developments and useful techniques for doing research. The first talk will be given by one of the leading mentors, the other two talks will be given by participants. Afternoons will consist of research working groups, where participants break into groups to do research on open problems.

Texas A&M University, College Station, TX

The goal of this in-person conference is to bring together researchers studying nonsmooth spaces from different perspectives, facilitating the exchange of ideas, problems, and mathematical techniques. Perspectives coming from probability, analysis on metric spaces, and Banach space theory are of particular emphasis. Interactions among these different fields have already proven exceptionally fruitful. For example, a famous fractal space constructed by Laakso to answer a purely metric measure theoretic question inspired a similar construction (pictured above) eventually used to characterize superreflexivity in Banach spaces. Later, uniform q-convexity, a quantitative refinement of superreflexivity, was metrically characterizing using Markov convexity – a measurement of the diffusivity of Markov processes in a metric space. Together with many more examples, these show how shared geometric objects play important roles in each subject while being viewed through different lenses. More interactions of this type will be necessary to solve important open problems, such as analyst’s traveling salesman-type problems and metric characterizations of other Banach properties.

Statistik, Spieltheorie ,    Analysis

Valdosta State University

The Department of Mathematics at the Valdosta State University is pleased to announce the VSU CBMS Conference on Topological Data Analysis and Persistence Theory which will be held from August 8 to August 12, 2022. The main goal of this conference is to provide an introduction to topological data analysis (TDA) and persistence theory (PT) to a broader audience. TDA and PT are relatively recent methods useful for finding important features in large data sets using ideas from traditionally theoretical branches of mathematics such as algebra and topology.

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will bring together experts and active researchers in geometric partial differential equations that are working on problems in conformal geometry and related topics. The goal is to to take advantage of the pattern of rich interactions between these research fields.

Asymptotic analysis on asymptotically hyperbolic manifolds, The anti-de Sitter/conformal field theory correspondences in mathematical physics correspondences in mathematical physics, Partial differential equations in conformal geometry

Infinitesimalrechnung, Differentialgleichungen, Integralrechnung,    Mathematische Physik

Aspen Center for Physics

We plan to bring together experts in condensed matter, quantum field theory and topology to forge new advances at the interface of these subjects, with mutually reinforcing ideas from physics and mathematics in vigorous exchange and contraposition as part of an intense workshop.

Mathematische Physik,    Teilchenphysik und Felder

The Simons SCGP-Workshops---21_webCenter for Geometry and Physics, Stony Brook University

Over the past ten years tremendous progress has been achieved in quantum field theory thanks to the realization that symmetries can be interpreted in terms of the action of topological defects on the space of operators. This gives a generalization of the notion of symmetries, explicitly realized in many instances exploiting Lagrangian field theory techniques, uncovering a rich and unexpected landscape of physical effects. The product rules for symmetry defects are organized by higher structures, and moreover examples of non-invertible symmetry defects have been found, indicating that global symmetries are categorical. Thanks to geometric field theory methods in string theory, an understanding of generalized global symmetries for field theories without a conventional Lagrangian formulation is at reach in terms of appropriate defect groups, determined exploiting the dynamics of membranes in the string theory realization.

Teilchenphysik und Felder,    Mathematische Physik

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to exploring and solidifying connections between the mathematical study of higher categories and the exotic physics of topologically ordered systems.

Teilchenphysik und Felder,    Analysis

Mathematical Sciences Research Institute (MRSI)

The workshop will focus on the interaction between homotopy theory and symplectic topology and low dimensional topology that is mediated by Floer theory. Among the topics covered are foundational questions, applications to concrete geometric questions, and the relationship with finite dimensional approaches.

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to recent developments in the study of Lagrangian Floer theory of symmetric products of Riemann surfaces and Hilbert schemes of symplectic 4-manifolds, and their applications both to symplectic topology and the low dimensional topology.

Mathematical Sciences Research Institute (MSRI)

This workshop will highlight talks on various aspects of Diophantine Geometry. The goal of the workshop is to bring together researchers at different career stages and of various backgrounds in order to establish new collaborations and mentoring relationships.

Mathematical Sciences Research Institute (MSRI)

This workshop will feature expository lectures about current developments in Diophantine geometry. This includes the uniform Mordell—Lang for rational points on curves, the Andre—Oort conjecture for special points on Shimura varieties, and effective results via Chabauty method, and related topics in Arakelov theory, unlikely intersections, arithmetic statistics, arithmetic dynamics, and p-adic Hodge theory.

Algebra,    Zahlentheorie, Arithmetik

Mathematical Sciences Research Institute (MSRI)

The topical workshop will be dedicated to Shouwu Zhang, to mark the occasion of his 60th birthday, and to honour his numerous beautiful contributions to the theory of Shimura varieties and special values of L-functions. It will highlight cutting edge work on topics such as the construction of Euler systems; relations between special cycles on Shimura varieties and L-functions, such as generalized Gross-Zagier formulas and the Tate conjecture; the construction of Galois representations in cohomology; and related aspects of the theory of automorphic forms.

UC Santa Barbara, Kavli Institute for Theoretical Physics (KITP)

Recent developments in several disparate areas make it a pressing and opportune time to confront the interplay between topology, symmetry and interactions. This conference will catalyze the discussion on this broad topic by highlighting a burst of recent advancements, both theoretical and experimental, along this direction. An important goal is to enhance cross-talk between the weakly and strongly correlated communities interested in topology that have not yet had adequate interactions with each other. The conference will bring participants up to speed in this rapidly growing field and sharpen the central questions that will be discussed in the remainder of the associated program.

Festkörperphysik,    Mathematische Physik

UC Santa Barbara, Kavli Institute for Theoretical Physics (KITP)

Nanoparticle assembly is a hierarchical approach to functional materials. It operates at the mesoscale where elementary building blocks still feel their atomic nature and can profit from quantum function but at the same time are flexible enough in shape and interaction to permit high structural complexity. The realization of nanoparticle assemblies requires the convergence of and communication among several scientific disciplines: chemistry for synthesis, materials science for characterization, chemical engineering for up-scaling, and physics for a theoretical description and quantum phenomena. The goal of the conference will be to provide a coherent view of the current state of the field, bringing together researchers with different expertise and background. It should catalyze the development of new methods, both theoretical, computational and experimental, and define the basic science in this field. A focus will be recent developments but also a look forward: What should be the focus for the next decade and beyond? What are they key physics concepts that need to be developed and from where will the new game-changing technological advances emerge?

Clusterphysik, Nanowerkstoffe, Graphen und Fullerene,    Mathematische Physik