Meetings/Workshops on Algebra in the United States (USA)

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1
New Methods for Zimmer's Conjecture
22 Jan 2018 - 26 Jan 2018 • Institute for Pure and Applied Mathematics (IPAM) , United States
Abstract:
The purpose of this workshop is to bring focused attention on a recent breakthrough by Brown, Fisher and ZIM2018_imageHurtado on Zimmer's Conjecture. The conjecture concerns low dimensional actions of lattices in higher rank Lie groups and was made in 1983. Many approaches to the conjecture have been proposed in the intervening years, but progress has been minimal. The recent breakthrough both dramatically improves the state of knowledge and involves many novel ideas and contributions from various areas of mathematics.
Event listing ID:
982433
2
AIM Workshop: Classification of Group von Neumann Algebras
29 Jan 2018 - 02 Feb 2018 • American Institute of Mathematics, San Jose, United States
Abstract:
This workshop, sponsored by AIM and the NSF, will be devoted to developing new ideas and approaches to the classification of group and group-action von Neumann algebras.
Event listing ID:
965985
3
The Homological Conjectures: Resolved!
12 Mar 2018 - 16 Mar 2018 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract:
The homological conjectures in commutative algebra are a network of conjectures that have generated a tremendous amount of activity in the last fifty years. They had largely been resolved for commutative rings that contain a field, but, with the exception of some low dimensional cases, several remained open in mixed characteristic---until recently, when Yves Andr? announced a proof of Hochster's Direct Summand Conjecture. The progress comes from systematically applying Scholze's theory of perfectoid spaces, which had already shown its value by solving formidable problems in number theory and representation theory. One of the goals of the workshop is to cover the ingredients going into the proofs of the Direct Summand Conjecture.
Event listing ID:
967655
4
32nd Automorphic Forms Workshop
18 Mar 2018 - 22 Mar 2018 • Tufts University, Medford, United States
Abstract:
Over the last 30 years, the Annual Workshop on Automorphic Forms and Related Topics has remained a small and friendly conference, recognized for both its high-quality research talks and its supportive atmosphere for junior researchers. Participants present cutting-edge research in all areas related to automorphic forms. These include mock modular forms, Maass wave forms, elliptic curves, Siegel and Jacobi modular forms, special values of L-functions, random matrices, quadratic forms, applications of modular forms, and many other topics. For the first time, the conference begins with a graduate student bootcamp on March 18, 2018. Support is available for junior participants; email:organizers@automorphicformsworkshop.org for more information.
Event listing ID:
966681
5
Quantitative Linear Algebra
18 Mar 2018 - 15 Jun 2018 • Institute for Pure and Applied Mathematics (IPAM),, United States
Abstract:
The program lies at the juncture of mathematics and theoretical computer science in a quest for quantitative answers to finite-dimensional questions. The program brings together topics from a number of important directions, including discrepancy theory, spectral graph theory, random matrices, geometric group theory, ergodic theory, von Neumann algebras, as well as specific research directions such as the Kadison-Singer problem, the Connes embedding conjecture and the Grothendieck inequality. A very important aspect of the program is its aim to deepen the link between research communities working on some infinite-dimensional functional analysis problems that occur in geometric group theory, ergodic theory, von Neumann algebras; and some quantitative finite-dimensional ones that occur in spectral graph theory, random matrices, combinatorial optimization, and the Kadison-Singer problem.
Event listing ID:
982549
6
Quantitative Linear Algebra Tutorials
20 Mar 2018 - 23 Mar 2018 • Institute for Pure and Applied Mathematics (IPAM),, United States
Abstract:
The program opens with four days of tutorials that will provide an introduction to major themes of the entire program and the four workshops. The goal is to build a foundation for the participants of this program who have diverse scientific backgrounds.
Event listing ID:
982460
7
Algebraic geometry and its broader implications
23 Mar 2018 - 25 Mar 2018 • Chicago, IL, United States
Abstract:
Algebraic geometry and its broader implications : a celebration of Robin Hartshorne's 80th and the book's 40th birthday, at the University of Illinois at Chicago.
Event listing ID:
965561
Related subject(s):
8
AIM Workshop: Arborealization of singularities of Lagrangian skeleta
26 Mar 2018 - 30 Mar 2018 • American Institute of Mathematics, San Jose, United States
Abstract:
This workshop, sponsored by AIM and the NSF, will be devoted to the study of Weinstein manifolds from the perspective of their skeleta.
Event listing ID:
965944
9
Semester Program Workshop: Computation and Optimization of Energy, Packing, and Covering
09 Apr 2018 - 13 Apr 2018 • ICERM/Brown University, Providence, United States
Abstract:
The packing and covering of equal geometric shapes, such as spheres or convex polyhedra, are classical geometric optimization problems. They have a long mathematical tradition and were for instance part of Hilbert's famous twenty-three problems for the twentieth century. Nevertheless, seemingly simple packing and covering problems are still extremely hard to solve and generally, far from a solution. Likewise, minimal energy problems for pair potentials, of which best-packing is a special case, have many such unresolved questions.
Event listing ID:
966937
10
Workshop I: Expected Characteristic Polynomial Techniques and Applications
09 Apr 2018 - 13 Apr 2018 • Institute for Pure and Applied Mathematics (IPAM),, United States
Abstract:
A central goal of the program is to further connections between problems in infinite and finite dimensional linear algebra. This workshop will focus on the expected characteristic polynomials of finite-dimensional random matrices, which have played a crucial role in several recent results in this area (including the solution of the Kadison-Singer problem) and seem to offer a middle ground between the two settings. One one hand, their zeros turn out to be related to estimates in asymptotic random matrix theory, von Neumann algebras, and Free Probability theory; on the other hand, they can also be used to control the eigenvalues of the finite random matrices in question, which might come from another area such as spectral graph theory or frame theory.
Event listing ID:
982523
11
Semester Program Workshop: Computational Challenges in the Theory of Lattices
23 Apr 2018 - 27 Apr 2018 • ICERM/Brown University, Providence, United States
Abstract:
This workshop will focus on the computational aspects of the theory of Euclidean lattices and on their applications to other areas in mathematics and computer science. It will put emphasis on computational challenges on lattice problems that have recently arisen from unexpected connections to other domains such as algebraic topology, automorphic forms, or cryptography. A major goal of this workshop is to bring together researchers from different areas, working with Euclidean lattices, and to facilitate their interactions. Topics will include the reduction theory of lattices and its applications, Voronoi algorithms and their use to compute the cohomology of arithmetic groups, the classification of lattice genera and the computation of spaces of modular forms, the algorithmic aspects of lattice based cryptography, in particular the relationship between the security of cryptographic primitives and the hardness of lattice problems.
Event listing ID:
966969
12
AIM Workshop: Steklov Eigenproblems
30 Apr 2018 - 04 May 2018 • American Institute of Mathematics, San Jose, United States
Abstract:
This workshop, sponsored by AIM and the NSF, will focus on the geometric and computational aspects of the Steklov eigenproblems.
Event listing ID:
965980
13
Workshop II: Approximation Properties in Operator Algebras and Ergodic Theory
30 Apr 2018 - 05 May 2018 • Institute for Pure and Applied Mathematics (IPAM),, United States
Abstract:
Modeling non-commutative phenomena in finite dimensional matrix algebras is a central theme of the program Quantitative Linear Algebra. This workshop will focus on a variety of concrete questions around this theme, coming from several directions, such as operator algebras, quantum information theory, geometric group theory, ergodic theory, etc. This workshop will include a poster session; a request for poster titles will be sent to registered participants in advance of the workshop.
Event listing ID:
979286
14
AIM Workshop: Symplectic four-manifolds through branched coverings
14 May 2018 - 18 May 2018 • American Institute of Mathematics, San Jose, United States
Abstract:
This workshop, sponsored by AIM and the NSF, will be devoted to studying problems in the topology of symplectic four-manifolds by using connections with gauge theory, holomorphic curves, and algebraic geometry. The focus will be on concretely building connections between these areas and symplectic topology while working directly on specific problems in symplectic topology posed throughout the workshop.
Event listing ID:
965990
15
Vertex operator algebras, number theory, and related topics on the occasion of Geoffrey Mason's 70th Birthday
11 Jun 2018 - 15 Jun 2018 • California State University, Sacramento, United States
Abstract:
The conference will be held at California State University, Sacramento from June 11th to June 15th, 2018 and will include 40 presenters covering a range of topics related to the intersection of vertex operator algebras, number theory, and conformal field theory. This will include topics such as Lie algebras, modular and other automorphic forms, quantum groups, representation theory, group theory, and theoretical physics, as well as applications of these areas. Due to the rapidly changing landscape of these fields, and in particular, their intersection with theoretical physics, this conference serves as a timely and important opportunity for the research community to share and disseminate knowledge in order to advance new research developments. An important theme that will be highlighted is the interplay between the theory of VOAs and automorphic forms.
Event listing ID:
983041
16
AIM Workshop: Nonlocal differential equations in collective behavior
18 Jun 2018 - 22 Jun 2018 • American Institute of Mathematics, San Jose, United States
Abstract:
This workshop, sponsored by AIM and the NSF, will be devoted to the qualitative behaviour of some nonlocal equations, mainly stemming from collective behavior models and kinetic theory.
Event listing ID:
966037
17
Summer Graduate School: Derived Categories
25 Jun 2018 - 06 Jul 2018 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract:
The goal of the school is to give an introduction to basic techniques for working with derived categories, with an emphasis on the derived categories of coherent sheaves on algebraic varieties. A particular goal will be to understand Orlov's equivalence relating the derived category of a projective hypersurface with matrix factorizations of the corresponding polynomial.
Event listing ID:
881772
18
Topical Workshop: SageDays@ICERM: Combinatorics and Representation Theory
23 Jul 2018 - 27 Jul 2018 • ICERM/ Brown University, Providence, Rhode Island, United States
Abstract:
The workshop will partially consist of talks, presentations, and active demonstrations on some of the relevant mathematical topics, using SageMath, and coding within SageMath. The rest of the workshop will be devoted to coding sprints, time where people can work (either individually or in groups) on code or applying SageMath. The nature of the talks on the underlying mathematics will vary from introductory to specialized and will be aimed at the interests of those participating. Similarly, the presentations on SageMath will include introductory tutorials and extend to development in SageMath.
Topics:
Sagemath, sage, combinatorics, algebra, representation theory
Event listing ID:
1000171
Related subject(s):
19
AIM Workshop: Stein's method and applications in high-dimensional statistics
06 Aug 2018 - 10 Aug 2018 • American Institute of Mathematics, San Jose, United States
Abstract:
This workshop, sponsored by AIM and the NSF, is devoted to the applications of Stein's method to address modern, practical questions in high-dimensional mathematical statistics. The overarching theme of the workshop will be the development of new methods in high dimensional data analysis by applying recent advances in probabilistic methods.
Event listing ID:
965981
20
Nonlinear Algebra (Semester Program)
05 Sep 2018 - 07 Dec 2018 • ICERM/ Brown University, Providence, Rhode Island, United States
Abstract:
The theory, algorithms, and software of linear algebra are familiar tools across mathematics, the applied sciences, and engineering. This ubiquity of linear algebra masks a fairly recent growth of nonlinear algebra in mathematics and its applications to other disciplines. The proliferation of nonlinear algebra has been fueled by recent theoretical advances, efficient implementations of core algorithms, and an increased awareness of these tools.
Topics:
nonlinear algebra
Event listing ID:
1000217
21
AIM Workshop: Boltzmann Machines
17 Sep 2018 - 21 Sep 2018 • American Institute of Mathematics, San Jose, United States
Abstract:
This workshop, sponsored by AIM and the NSF, will be devoted to the mathematics of Boltzmann machines. Researchers have been employing tools in information theory, algebra, combinatorics, geometry, and optimization to understand these models. The result is a situation where further progress probably requires a more intimate merger of these tools.
Event listing ID:
965976
22
Semester Program Workshop: Core computational methods
17 Sep 2018 - 21 Sep 2018 • ICERM/ Brown University, Providence, Rhode Island, United States
Abstract:
This workshop will focus on core algorithms in the three crucial areas in nonlinear algebra: numerical algebraic geometry, symbolic computation, and combinatorial methods. There have been tremendous advances in algorithms in these areas. As applications become more sophisticated, and require more computing resources, the basic algorithms and implementations need to step up to match the demand from applications. This workshop will bring together experts to exchange ideas on new algorithms that are needed and on improvement of existing ones. It will incite collaboration on hybrid algorithms involving computational methods from the three areas. Examples of open problems to be addressed include: certification of numerical methods, and combining numerical, symbolic and combinatorial methods to allow a much larger reach for decomposition algorithms.
Topics:
nonlinear algebra, algorithms, numerical algebraic geometry, symbolic computation, combinatorial methods
Event listing ID:
1000279
23
Semester Program Workshop: Real algebraic geometry and optimization
15 Oct 2018 - 19 Oct 2018 • ICERM/ Brown University, Providence, Rhode Island, United States
Abstract:
This workshop will focus on techniques and structures in real algebraic geometry and optimization, including computational tools for semi-algebraic sets, semidefinite programming techniques for polynomial optimization, and applications of these tools to problems in computer vision. Real algebraic geometry provides powerful tools to analyze the behavior of optimization problems, the geometry of feasible sets, and to develop new relaxations for hard non-convex problems. On the other hand, numerical solvers for semidefinite programs have led to new fast algorithms in real algebraic geometry. Algebraic methods over the real numbers are essential for many real-world applications. This workshop aims to explore the cutting edge of techniques in real algebraic geometry and convex optimization as well as applications of these tools to problems in computer vision and other information sciences.
Topics:
real algebraic geometry and optimization, computational tools for semi-algebraic sets, semidefinite programming techniques for polynomial optimization
Event listing ID:
1000701
24
Semester Program Workshop: Nonlinear algebra in applications
12 Nov 2018 - 16 Nov 2018 • ICERM/ Brown University, Providence, Rhode Island, United States
Abstract:
Applications often pose many algorithmic, computational, and theoretical challenges, and overcoming these challenges has been a driving force behind many recent innovations in nonlinear algebra. This workshop will bring together mathematicians and practitioners with a focus on recently developed methods that have been motivated by solving problems arising in applications. Three key hallmarks of the methods presented are efficient computation of solutions, exploitation of structure, and reformulation of numerically unstable systems. Some of the topics planned for discussion include algebraic cryptanalysis and coding theory, chemical reaction networks, computational biology, computer-aided geometric design, applications of enumerative and tropical geometry, gauge and string theory in physics, and applications to statistics such as probabilistic graphical models and singular learning theory.
Topics:
nonlinear algebra, algebraic cryptanalysis and coding theory, chemical reaction networks, computational biology, computer-aided geometric design, applications of enumerative, tropical geometry, gauge and string theory, probabilistic graphical models, singular learning theory.
Event listing ID:
1000788
25
Derived Algebraic Geometry
22 Jan 2019 - 24 May 2019 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract:
Derived algebraic geometry is an extension of algebraic geometry that provides a convenient framework for directly treating non-generic geometric situations (such as non-transverse intersections in intersection theory), in lieu of the more traditional perturbative approaches (such as the "moving" lemma). This direct approach, in addition to being conceptually satisfying, has the distinct advantage of preserving the symmetries of the situation, which makes it much more applicable. In particular, in recent years, such techniques have found applications in diverse areas of mathematics, ranging from arithmetic geometry, mathematical physics, geometric representation theory, and homotopy theory. This semester long program will be dedicated to exploring these directions further, and finding new connections.
Event listing ID:
881846
Related subject(s):
26
Birational Geometry and Moduli Spaces
22 Jan 2019 - 24 May 2019 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract:
Birational Geometry and Moduli Spaces are two important areas of Algebraic Geometry that have recently witnessed a flurry of activity and substantial progress on many fundamental open questions. In this program we aim to bring together key researchers in these and related areas to highlight the recent exciting progress and to explore future avenues of research. This program will focus on the following themes: Geometry and Derived Categories, Birational Algebraic Geometry, Moduli Spaces of Stable Varieties, Geometry in Characteristic p>0, and Applications of Algebraic Geometry: Elliptic Fibrations of Calabi-Yau Varieties in Geometry, Arithmetic and the Physics of String Theory.
Event listing ID:
881812
Related subject(s):
27
Introductory Workshop: Derived Algebraic Geometry and Birational Geometry and Moduli Spaces
31 Jan 2019 - 08 Feb 2019 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract:
The workshop will survey several areas of algebraic geometry, providing an introduction to the two main programs hosted by MSRI in Spring 2019. It will consist of seven expository mini-courses and seven separate lectures, each given by top experts in the field. The focus of the workshop will be the recent progress in derived algebraic geometry, birational geometry, and moduli spaces. The lectures will be aimed at a wide audience including advanced graduate students and postdocs with a background in algebraic geometry.
Event listing ID:
967630
Related subject(s):
28
Derived Algebraic Geometry and its Applications
25 Mar 2019 - 29 Mar 2019 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract:
This workshop will bring together researchers at various frontiers, including arithmetic geometry, representation theory, mathematical physics, and homotopy theory, where derived algebraic geometry has had recent impact. The aim will be to explain the ideas and tools behind recent progress and to advertise appealing questions. A focus will be on moduli spaces, for example of principal bundles with decorations as arise in many settings, and their natural structures.
Event listing ID:
967758
Related subject(s):
29
Recent Progress in Moduli Theory
06 May 2019 - 10 May 2019 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract:
This workshop will be focused on presenting the latest developments in moduli theory, including (but not restricted to) recent advances in compactifications of moduli spaces of higher dimensional varieties, the birational geometry of moduli spaces, abstract methods including stacks, stability criteria, and applications in other disciplines.
Event listing ID:
967695
30
Illustrating Mathematics (Semester Program)
04 Sep 2019 - 06 Dec 2019 • ICERM/ Brown University, Providence, Rhode Island, United States
Abstract:
The Illustrating Mathematics program brings together mathematicians, makers, and artists who share a common interest in illustrating mathematical ideas via computational tools. The goals of the program are to: introduce mathematicians to new computational illustration tools to guide and inform their research; spark collaborations among and between mathematicians, makers and artists; and find ways to communicate research mathematics to as wide an audience as possible.
Topics:
Geometry and Topology, Algebra and Number Theory, Dynamics and Probability,
Event listing ID:
1000203

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Last updated: 19 December 2017