The goal of this workshop is to bring together researchers in algebraic geometry, cohomological methods, and analytic methods to study connections between these perspectives in Diophantine geometry.
CMI Enhancement and Partnership Program
Venue: American Institute of Mathematics
The workshop aims to promote research and leadership among female number theorists within a supportive environment.
Number theory has its roots in the study of the integers, but the great variety of tools and techniques motivated by these ancient questions are now allowing us to address questions intimately connected to a wide variety of fields, from geometry to physics and information theory. This workshop is a continuation of the previous two successful BIRS workshops for women in numbers. It will bring together women at all stages in their research careers, from senior faculty to graduate students, to do new research in some of the most important and vibrant areas of modern number theory, and to continue to build a thriving community of women working in the area.
CMI Enhancement and Partnership Program
Venue: BIRS
A focused workshop on recent research in geometric representation theory and related physics.
CMI Enhancement and Partnership Program
Venue: Punta Arenas, Chile
CMI Enhancement and Partnership Program
Venue: CIRM, Luminy
There has been exciting progress recently on two (three ?) connected topics: the extension of the Taylor-Wiles method to situations where the standard (im)parity condition fails, and the relation of deformation theory (starting with Hida’s idea) with the Leopoldt conjecture. The salient points are the paper(s) of Calegari and Geraghty, Calegari’s paper on stable (completed) homology for congruence groups, and the Khare-Thorne paper on Leopoldt; the construction of new Galois representations by Harris-Lan-Thorne-Taylor and Scholze, in particular for torsion classes, is also a crucial advance. Finally, Calegari’s paper reveals new relations with problems in K-theory on which our kowledge does not seem to have improved much since the Batelle meetings.
This workshop will be limited to the researchers involved in these developments. The aim is to obtain an up-to date integrated picture of these developments as well as their interrelations. Connected theories such as completed cohomology should be reviewed, as well as some complements in K-theory.
CMI Enhancement and Partnership Program
Venue: CIRM, Marseille
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
Venue: MSRI
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
Venue: Abdus Salam International Centre for Theoretical Physics, Trieste, Italy
This workshop will concentrate on parabolic methods in both Riemannian and complex geometry. Topics will include:
CMI Enhancement and Partnership Program
Venue: MSRI
The workshop will integrate elements from complex differential geometry with Einstein metrics and their generalizaitons. Topics will include:
CMI Enhancement and Partnership Program
Venue: MSRI
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
Venue: African Institute for Mathematical Sciences
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
Venue: MSRI
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
Venue: MSRI