Viewing archives for Workshop

Amenability, Coarse Embeddability and Fixed Point Properties

The main theme of the workshop is the spectrum of analytic properties running from Kazhdan’s property (T) at one end to von Neumann’s amenability at the other, that forms a foundational organizing structure for infinite groups and spaces. These properties can be described both analytically, via unitary representation theory, and geometrically, using embedding properties for discrete spaces. Connections with probability and combinatorics will likewise be addressed during the meeting.

CMI Enhancement and Partnership Program

Details

Venue: MSRI

Geometric Group Theory and Low-Dimensional Topology

This advanced school and workshop will focus on themes at the cutting edge of research in geometry and topology and its connections with group theory.  It will expose students, post docs, and researchers to various key roles that geometric group theory has played in recent advances in low-dimensional topology and geometry.  These include, but are not limited to, the role of virtually special groups, representations of Kleinian groups in SL(2,C) and generalizations (e.g. Higher Teichmüller Theory), the mapping class group and its recent role in low dimensional geometry and topology and group theory connections with Heegaard Floer theory through left-orderability.

CMI Enhancement and Partnership Program

Details

Venue: Abdus Salam International Centre for Theoretical Physics, Trieste, Italy

Geometric Flows in Riemannian and Complex Geometry

This workshop will concentrate on parabolic methods in both Riemannian and complex geometry.  Topics will include:

  • Ricci flow. Analytic questions about Ricci flow in three dimensions. Possible applications of Ricci flow to 4-manifold topology. Ricci flow in higher dimensions under curvature assumptions.
  • Kähler-Ricci Flow. Applications to the Kähler-Einstein problem. Connections to the minimal model program. Study of Kähler-Ricci solutions and limits of Kähler-Ricci flow.
  • Mean curvature flow. Singularity analysis. Generic mean curvature flow.
  • Other geometric flows such as Calabi flow and pluriclosed flow.

CMI Enhancement and Partnership Program

Details

Venue: MSRI

Kähler Geometry, Einstein Metrics, and Generalizations

The workshop will integrate elements from complex differential geometry with Einstein metrics and their generalizaitons.  Topics will include:

  • Existence of Kähler metrics and extremal Kähler metrics. Notions of stability in algebraic geometry such as Chow stability, K-stability, b-stability, and polytope stability. Kähler-Einstein metrics with conical singularities along a divisor.
  • Calabi-Yau metrics and collapsed limit spaces. Connections with physics and mirror symmetry.
  • Einstein metrics and their moduli spaces, ε-regularity, noncompact examples such as ALE, ALF, and Poincaré-Einstein metrics. Generalizations of the Einstein condition, such as Bach-flat metrics and Ricci solutions.
  • Sasaki-Einstein metrics and metrics with special holonomy. New examples and classification problems.

CMI Enhancement and Partnership Program

Details

Venue: MSRI

AIMS Conference on Quadratic Differentials

Holomorphic differentials on Riemann surfaces have long held a distinguished place in several areas of low dimensional geometry, dynamics and representation theory.  More recently they have emerged in intriguing ways in the study of billiards in polygons, special (so-called Hitchin) components of representation varieties, stability conditions on Fukaya-type categories, spectral networks, and asymptotic properties of Higgs bundle moduli spaces.  This workshop will bring together a small number of experts at the forefront of these diverse areas to explore common themes and in particular to investigate the use of techniques that could potentially cross disciplinary boundaries.

CMI Enhancement and Partnership Program

Details

Venue: African Institute for Mathematical Sciences

Women in Topology

The Women in Topology network is an international group of female mathematicians interested in homotopy theory whose main goal is to increase the retention of women in the field by providing both unique collaborative research opportunities and mentorship between colleagues.  This meeting will be organized as an afternoon of short talks from participants, followed by two days of open problem seminars and working groups designed to stimulate new collaborations, as well as to strengthen those already ongoing among the participants.

CME Enhancement and Partnership Program

Details

Venue: MSRI

Geometric Functional Analysis and Applications Workshop

This is the main workshop of the program “Geometric Functional Analysis and Applications”. It will focus on the main topics of the program, including: convex geometry, asymptotic geometric analysis interaction with computer science, signal processing, random matrix theory and other aspects of probability.

CMI Enhancement and Partnership Program

Details

Venue: MSRI

Recent Developments in Harmonic Analysis

This topical workshop will bring together researchers from the forefront of the field of harmonic analysis to discuss recent breakthroughs.  Topics will include: 

  • Restriction, Kakeya, and geometric incidence problems
  • Analysis on nonhomogenous spaces
  • Weighted estimates
  • Quantitative rectifiability and other topics in PDE

CMI Enhancement and Partnership Program

Details

Venue: MSRI

Constructions and Obstructions in Birational Geometry

The main aims of this workshop include reviewing the most important recent developments in birational geometry, relating to the explicit methods and toric varieties and degenerations on the Constructions side, and Chow groups, derived categories and the Grothendieck ring of varieties on the Obstructions side, and subsequently initiating the discussion between experts, leading to further progress in these two neighboring fields.  

Professor Claire Voisin (Collège de France) will give the Clay Lecture at this event.

CMI Enhancement and Partnership Program

Details

Venue: ICMS, Edinburgh

Nairobi Workshop in Algebraic Geometry

CMI Enhancement and Partnership Program

Details

Venue: University of Nairobi

Emergent Trends in Complex Function Theory

This workshop will be held in conjunction with CRM’s Intensive Research Program Spaces of Analytical Functions: Approximation, Interpolation, Sampling.  The Program will bring together leading experts in topical domains in Complex Analysis, Functional Analysis, and Approximation Theory working in approximation, interpolation and sampling problems in spaces of analytic functions and in their applications to spectral theory, Gabor analysis and random analytic functions. This field is an example of a fruitful interplay of complex analysis, abstract functional analysis and operator theory. The workshop Emergent Trends in Complex Function Theory  will contain three advanced courses consisting of three one-hour lectures each, up to six one-hour invited talks, and contributed talks delivered, mainly, by promising young mathematicians.

CMI Enhancement and Partnership Program

Details

Venue: Centre de Recerca Mathemàtica, Bellaterra, Spain

Women in Numbers Europe 3

The aim of this workshop is to allow young women doing research in numbers theory — graduate students, post docs, junior faculty — to initiate collaborations with confirmed researchers in the area.  Addiitonally, senior faculy will have the orpportuynity to enlarge or strengthen their research network and gain new mentorship opportunities.  A broad spectrum of topics in algebraic and analytic number theory and arithmetic geometry will be covered, including abelian varieties, K3 surfaces, Teichmüller curves, L-functions, modular curves, and arithmetic dynamics.

CMI Enhancement and Partnership Program

Details

Venue: La Hublais Center, Rennes