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1
AIM Workshop: High-dimensional phenomena in discrete analysis
13 mai 2024 - 17 mai 2024 • American Institute of Mathematics, Pasadena, California, États-Unis
Organisateur:
American Institute of Mathematics (AIM)
Résumé:
This workshop, sponsored by AIM and the NSF, will be devoted to the study of high-dimensional phenomena in discrete analysis and will touch upon themes in additive combinatorics, discrete geometry and extremal combinatorics. Each of these areas, which share many common techniques and ideas, have experienced enormous growth and seen the solution to longstanding problems in recent years. The goal of this workshop is to bring together a range of researchers with expertise in each of these areas to find common ground, start new collaborations and make progress on some of the fundamental questions in these areas.
Sujets:
The main topics for the workshop are: Quantitative estimates on multidimensional Szemerédi-type theorems, Incidence results in higher dimensions, Extremal problems for hypergraphs.
Identifiant de l'évènement:
1598319
2
The Legacy of Ramanujan 2024 — celebrating the 85th birthdays of George Andrews and Bruce Berndt
06 jui 2024 - 09 jui 2024 • Penn State University, State College, PA, États-Unis
Identifiant de l'évènement:
1589092
3
MAQD 2024 — Microlocal analysis and quantum dynamics (in memory of Steve Zelditch).
17 jui 2024 - 28 jui 2024 • Evanston, IL, États-Unis
Organisateur:
Northwestern University
Résumé:
Microlocal Analysis and Quantum Dynamics 2024 is supported by the RTG “Dynamics: Classical, Modern, and Quantum”. The events are part of Northwestern’s 2023-2024 Emphasis Year, “Asymptotics in Geometry and Analysis: the Mathematics of Steve Zelditch”.
Sujets:
school and conference
Identifiant de l'évènement:
1577205
4
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:
1597013
5
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
6
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:
1596994
7
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:
1571344
8
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:
1571310


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