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Recent progress on geometric analysis and Riemannian geometry
Organizers: LEAD Lan-Hsuan Huang (University of Connecticut), Andre Neves (University of Chicago), Richard Schoen (Stanford University), LEAD Catherine Searle (Wichita State University), Guofang Wei (University of California, Santa Barbara)<p>The Hopf fibration of <span class="math-tex">\(S^3 \space by \space S^1\)</span></p>This workshop will bring together researchers at the frontiers of geometric analysis and Riemannian geometry, with a focus on recent advances on geometric flows, geometric problems in mathematical relativity, global Riemannian geometry, and minimal submanifolds. These areas have shown highly intriguing interactions in recent years and we expect this workshop will provide a unique opportunity to facilitate these emerging links.
Updated on Aug 13, 2024 05:45 PM PDT -
Geometry and analysis of special structures on manifolds
Organizers: Anna Fino (Università di Torino; Florida International University), Mark Haskins (Duke University), Tristan Riviere (ETH Zurich), Neshan Wickramasekera (University of Cambridge)The analysis of solutions to nonlinear geometric PDEs with higher-dimensional singular sets has seen some notable recent advances, but many fundamental questions still remain open. This workshop will bring together a wide array of researchers working in differential geometry, gauge theory, nonlinear PDEs, microlocal analysis, the calculus of variations and geometric measure theory, with the goal of describing recent advances, advertising recent technical breakthroughs and forging new connections.
Updated on Aug 13, 2024 05:51 PM PDT -
Connections Workshop: Probability and Statistics of Discrete Structures
Organizers: Christina Goldschmidt (University of Oxford), Po-Ling Loh (University of Cambridge), Kavita Ramanan (Brown University), Dana Randall (Georgia Institute of Technology), LEAD Nike Sun (Massachusetts Institute of Technology)AI-generated interpretation of a random networkThis two-day workshop will bring together researchers from discrete mathematics, probability theory, theoretical computer science, and statistics to explore topics at their interface. The focus will be on probability and statistics of random discrete structures, as well as their applications, including in computer science and physical systems. The workshop will celebrate academic and gender diversity, bringing together women and men at junior and senior levels of their careers from mathematics, physics, and computer science.
Updated on May 30, 2023 03:32 PM PDT -
Introductory Workshop: Probability and Statistics of Discrete Structures
Organizers: Louigi Addario-Berry (McGill University), LEAD Shankar Bhamidi (University of North Carolina), Christina Goldschmidt (University of Oxford), Dana Randall (Georgia Institute of Technology), Perla Sousi (University of Cambridge), Remco van der Hofstad (Technische Universiteit Eindhoven)Visualization of a network constructed using simple probabilistic rules, showing the emergence of hubs and other macroscopic network phenomenon. From https://graph-tool.skewed.deNetworks, graph driven algorithms, and dynamics on graphs such as epidemics, random walks and centrality measures all play a major role, both in our daily lives as well as many scientific and engineering disciplines. This introductory workshop will bring together experts and junior researchers in combinatorics, probability, and statistics to share a broad vision of major challenges and objectives, with a primary focus on models of random graphs and their limits, network inference, dynamic processes on networks and algorithms and optimization on random structures.
Updated on May 30, 2023 11:38 AM PDT -
Connections Workshop: Extremal Combinatorics
Organizers: Julia Böttcher (London School of Economics and Political Science), Anita Liebenau (UNSW Sydney), LEAD Maya Stein (Universidad de Chile)This workshop will bring together promising early-career researchers in extremal combinatorics so that they can meet with, forge connections with, and be inspired by the leading figures in the area. The workshop will include lectures, time for collaborative research, and an informal panel discussion session on career issues. This workshop is open to all mathematicians.
Updated on Aug 22, 2024 08:10 AM PDT -
Introductory Workshop - Graph Theory: Extremal, Probabilistic and Structural
Organizers: LEAD Penny Haxell (University of Waterloo), Michael Krivelevich (Tel Aviv University), Alex Scott (University of Oxford)This workshop will feature leading experts in several major areas of graph theory, including extremal, probabilistic and structural aspects of the field. Introductory lectures will form an important part of the program, providing background and motivation, and aimed at a general mathematical audience. Complementing these, research talks will share exciting recent developments in graph theory.
Updated on Aug 18, 2024 05:24 PM PDT -
Algebraic and Analytic Methods in Combinatorics
Organizers: Janos Pach (Alfréd Rényi Institute of Mathematics), Andrew Suk (University of California, San Diego), LEAD Yufei Zhao (Massachusetts Institute of Technology)A degree 7 curve passing through 35 points in the planeMany exciting breakthroughs in combinatorics involve innovative applications of techniques from a wide range of areas such as harmonic analysis, polynomial and linear algebraic methods, spectral graph theory, and representation theory. This workshop will present recent developments in this area and facilitate discussions of research problems.
Updated on Aug 13, 2024 04:44 PM PDT -
Detection, Estimation, and Reconstruction in Networks
Organizers: Po-Ling Loh (University of Cambridge), Gabor Lugosi (ICREA), Sofia Olhede (École Polytechnique Fédérale de Lausanne (EPFL)), Roberto Oliveira (Institute of Pure and Applied Mathematics (IMPA)), LEAD Miklos Racz (Northwestern University)Recovering communities in a network.In a growing number of applications, one needs to analyze and interpret data coming from massive networks. The statistical problems arising from such applications lead to important mathematical challenges: building novel probabilistic models, understanding the possibilities and limitations for statistical detection and inference, designing efficient algorithms, and understanding the inherent limitations of fast algorithms. The workshop will bring together leading researchers in combinatorial statistics, machine learning, and random graphs in the hope of cross-fertilization of ideas.
Updated on Aug 13, 2024 04:45 PM PDT -
Connections Workshop: Kinetic theory & Stochastic Partial Differential Equations
Organizers: LEAD Raluca Balan (University of Ottawa), Francois Golse (Centre de Mathématiques Laurent Schwartz, École Polytechnique), Qin Li (University of Wisconsin-Madison), Xiaoming Song (Drexel University), Rongchan Zhu (Beijing Institute of Technology)The Connections workshop will bring together leading experts working at the intersection of kinetic theory and stochastic partial differential equations (SPDEs).
Updated on Jul 24, 2024 09:38 AM PDT -
Introductory Workshop: Kinetic theory & Stochastic Partial Differential Equations
Organizers: Davar Khoshnevisan (University of Utah), Qin Li (University of Wisconsin-Madison), LEAD Konstantin Matetski (Michigan State University), Andrea Nahmod (University of Massachusetts, Amherst), Chiara Saffirio (Universität Basel), Xiangchan Zhu (Chinese Academy of Sciences)Parameter scan for deploying external electric field to control two-stream instability for Vlasov-Poisson.The goal of the workshop is to introduce non-experts to two active research areas: kinetic theory and stochastic partial differential equations. Kinetic theory studies the properties of interacting particle systems modeling various processes in non-equilibrium statistical mechanics. Stochastic partial differential equations describe dynamics subjected to random noises. The methods from the two areas complement each other in studies of the phenomena arising in physics, economics, life sciences, etc.
Updated on Jul 30, 2024 09:11 AM PDT -
Recent Trends in Stochastic Partial Differential Equations
Organizers: Sandra Cerrai (University of Maryland), LEAD Ilya Chevyrev (University of Edinburgh), Yu Deng (University of Chicago), Martina Hofmanova (Universität Bielefeld)The motion of a random string.The workshop aims to bring together researchers working on different facets of stochastic PDEs. The field of stochastic PDEs has seen many new techniques recently appear to tackle different problems, including renormalization, large scale and long-time behaviours, stochastic fluid dynamics, and homogenization. The goal of the workshop is to facilitate discussions and allow different communities to engage with one another one.
Updated on Aug 01, 2024 09:24 AM PDT -
Introductory Workshop: Topological and Geometric Structures in Low Dimensions & Geometry and Dynamics for Discrete Subgroups of Higher Rank Lie Groups
Organizers: Federica Fanoni (University of Warwick), Steven Frankel (Washington University), LEAD Yair Minsky (Yale University), Amir Mohammadi (University of California, San Diego), Andrés Sambarino (Université de Paris VII (Denis Diderot) et Université de Paris VI (Pierre et Marie Curie)), Barbara Schapira (Université de Picardie (Jules Verne)), Genevieve Walsh (Tufts University)The joint introductory workshop for the programs in Geometry and Dynamics for Discrete Subgroups of Higher Rank Lie Groups and Topological and Geometric Structures in Low Dimensions will feature lectures introducing subjects of interest to both programs, including Teichmuller Theory, geometry in higher rank, foliations and flows, Anosov groups and thermodynamic formalism, mapping class groups, counting and equidistribution, and related topics. Minicourses will be targeted at early career researchers as well as specialists looking to find connections between the different subjects.
Updated on Jul 23, 2024 02:18 PM PDT -
Recent progress in topological and geometric structures in low dimensions
Organizers: Kenneth Bromberg (University of Utah), Sergio Fenley (Florida State University), Autumn Kent (University of Wisconsin-Madison), LEAD Kathryn Mann (Cornell University), Kasra Rafi (University of Toronto)Foliations around a pseudo-Anosov singularity (Image credit: Chi Cheuk Tsang)This workshop will bring together ideas from diverse areas of mathematics that meet in the setting of geometry and topology in low dimensions. This includes the study of flows, foliations, and fibrations of three-manifolds and the related study of geometry (e.g. hyperbolic or conformal structures) of the manifolds and of the leaves or fibers, and their mapping class groups. This is a rich and interconnected area and many adjacent topics will also be featured.
Created on Jul 22, 2024 11:35 AM PDT -
Homogeneous Dynamics and Anosov representations
Organizers: LEAD Marc Burger (ETH Zürich), Simion Filip (University of Chicago), Ursula Hamenstädt (Rheinische Friedrich-Wilhelms-Universität Bonn), Fanny Kassel (Institut des Hautes Études Scientifiques (IHES)), Hee Oh (Yale University), Jean-François Quint (CNRS - Université de Montpellier)Limit set of an Anosov representationThis workshop will focus on recent advances on geometric and dynamical approaches to the study of discrete subgroups of higher rank Lie groups and their deformation spaces. The goal will be to present results and exchange ideas from different areas of mathematics, and we hope to create bonds between several different mathematical communities.
Updated on Jul 24, 2024 09:47 AM PDT
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