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1
AIM Workshop: PDE methods in complex geometry
26 aou 2024 - 30 aou 2024 • American Institute of Mathematics, Pasadena, California, États-Unis
Organisateur:
American Institute of Mathematics, Pasadena, California
Résumé:
This workshop, sponsored by AIM and the NSF, will be devoted to exploring the geometric and analytic regularity of fully nonlinear partial differential equations (PDE) arising from geometry and physics. Ever since Yau's solution to the Calabi conjecture, geometric PDEs, such as the complex Monge-Ampère equations, have been extensively studied from both the geometric and analytic perspective. These equations have profound applications across many areas of mathematics, including differential geometry, metric geometry and algebraic geometry. Notable advancements have been made in this field, including the sharp L∞ estimates of Kolodziej, and Hölder continuity for complex Monge-Ampère equations. The goal is to bring together experts in this field to explore open problems and develop new techniques which are expected to yield solutions to some of the long-standing questions.
Identifiant de l'évènement:
1596980
2
Introductory Workshop: Special Geometric Structures and Analysis
03 sep 2024 - 04 sep 2024 • Berkeley, Californie, États-Unis
Organisateur:
Simons Laufer Mathematical Sciences Institute (SLMath)
Résumé:
This workshop aims to prepare the participants for the main program: Special Geometric Structures and Analysis. There will be introductory lectures to recent results in geometry and analysis; more precisely in Kähler geometry, special holonomy, microlocal analysis and geometric measure theory
Sujets:
Kähler manifolds, Kahler metrics, Einstein metrics, canonical metrics, special holonomy, Calabi-Yau, geometric elliptic and parabolic PDEs, Pluripotential Theory, variational approach, Monge-Ampère equation, area minimizing currents, semicalibrated currents, minimal surfaces
Identifiant de l'évènement:
1571286
3
Recent Progress on Geometric Analysis and Riemannian Geometry
21 oct 2024 - 25 oct 2024 • Berkeley, Californie, États-Unis
Organisateur:
Simons Laufer Mathematical Sciences Institute (SLMath)
Résumé:
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.
Sujets:
mean curvature flow, Ricci flow, fully nonlinear flows, general relativity, mass, Ricci curvature, scalar curvature, sectional curvature, symmetry, Riemannian geometry, groups actions, minimal surfaces, stability, and index
Identifiant de l'évènement:
1596983
4
Harmonic Analysis and Convexity
09 dec 2024 - 13 dec 2024 • Providence, RI, États-Unis
Organisateur:
Institute for Computational and Experimental Research in Mathematics (ICERM)
Résumé:
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.
Contact:
ICERM;     Email.: info@icerm.brown.edu
Sujets:
harmonic analysis, convex geometry, computation and computer-assisted proofs
Identifiant de l'évènement:
1624192
Sujets apparentés:
5
Algebraic and Analytic Methods in Combinatorics
17 mar 2025 - 21 mar 2025 • Berkeley, Californie, États-Unis
Organisateur:
Simons Laufer Mathematical Sciences Institute (SLMath)
Résumé:
Many 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.
Sujets:
extremal combinatorics, extremal graph theory, probabilistic combinatorics, discrete geometry, additive combinatorics, combinatorial geometry, incidence geometry, arithmetic progressions, Discrete analysis
Identifiant de l'évènement:
1571366
6
Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory
07 avr 2025 - 11 avr 2025 • Berkeley, Californie, États-Unis
Organisateur:
Simons Laufer Mathematical Sciences Institute (SLMath)
Résumé:
In recent years techniques from harmonic analysis viz. projection theorems have found striking applications in finitary analysis on homogenous spaces. Such quantitative results have many potential applications to analytic number theory. This workshop will bring together researchers in these areas to further explore these connections.
Identifiant de l'évènement:
1571409


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Dernière mise à jour: 17 juin 2024