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1
Workshop I — Statistical Mechanics and Discrete Geometry
25 Mar 2024 - 29 Mar 2024 • Los Angeles, CA, United States
Organizer:
Institute for Pure and Applied Mathematics (IPAM), UCLA
Abstract:
Geometric structures associated with bipartite graphs on surfaces have recently emerged and turn out to be crucial for studying a variety of problems. On the one hand, probabilists working in statistical mechanics are interested in finding appropriate embeddings of planar graphs that lead to discrete complex analysis theories, which are well suited for observing conformally invariant objects in the scaling limit. In the course of doing so, they established deep connections between specific immersions of the underlying graphs, integrability of the models, and Harnack curves. On the other hand, several spaces of geometric objects have recently been found to be parametrized by weighted bipartite graphs on surfaces, relating them to cluster algebras and integrable systems. These include objects from discrete differential geometry (e.g. Q-nets, Darboux maps), positive Grassmannians, and higher Teichmüller spaces. Moreover, connections between knot theory and the dimer model have started to emerge and beg for a better understanding.
Topics:
Part of the Long Program Geometry, Statistical Mechanics, and Integrability
Event listing ID:
1572546
2
AIM Workshop: High-dimensional phenomena in discrete analysis
13 May 2024 - 17 May 2024 • American Institute of Mathematics, Pasadena, California, United States
Organizer:
American Institute of Mathematics (AIM)
Abstract:
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.
Topics:
The main topics for the workshop are: Quantitative estimates on multidimensional Szemerédi-type theorems, Incidence results in higher dimensions, Extremal problems for hypergraphs.
Event listing ID:
1598253
3
The Legacy of Ramanujan 2024 — celebrating the 85th birthdays of George Andrews and Bruce Berndt
06 Jun 2024 - 09 Jun 2024 • Penn State University, State College, PA, United States
Event listing ID:
1589070
Related subject(s):
4
MAQD 2024 — Microlocal analysis and quantum dynamics (in memory of Steve Zelditch).
17 Jun 2024 - 28 Jun 2024 • Evanston, IL, United States
Organizer:
Northwestern University
Abstract:
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”.
Topics:
school and conference
Event listing ID:
1577238
5
AIM Workshop: PDE methods in complex geometry
26 Aug 2024 - 30 Aug 2024 • American Institute of Mathematics, Pasadena, California, United States
Organizer:
American Institute of Mathematics, Pasadena, California
Abstract:
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.
Event listing ID:
1597079
6
Introductory Workshop: Special Geometric Structures and Analysis
03 Sep 2024 - 04 Sep 2024 • Berkeley, California, United States
Organizer:
Simons Laufer Mathematical Sciences Institute (SLMath)
Abstract:
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
Topics:
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
Event listing ID:
1571297
7
Recent Progress on Geometric Analysis and Riemannian Geometry
21 Oct 2024 - 25 Oct 2024 • Berkeley, California, United States
Organizer:
Simons Laufer Mathematical Sciences Institute (SLMath)
Abstract:
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.
Topics:
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
Event listing ID:
1597038
8
Algebraic and Analytic Methods in Combinatorics
17 Mar 2025 - 21 Mar 2025 • Berkeley, California, United States
Organizer:
Simons Laufer Mathematical Sciences Institute (SLMath)
Abstract:
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.
Topics:
extremal combinatorics, extremal graph theory, probabilistic combinatorics, discrete geometry, additive combinatorics, combinatorial geometry, incidence geometry, arithmetic progressions, Discrete analysis
Event listing ID:
1571300
Related subject(s):
9
Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory
07 Apr 2025 - 11 Apr 2025 • Berkeley, California, United States
Organizer:
Simons Laufer Mathematical Sciences Institute (SLMath)
Abstract:
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.
Event listing ID:
1571398
Related subject(s):


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Last updated: 3 January 2024