Meetings/Workshops on Algebra in the United States (USA)
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AIM Workshop: Nonlocal differential equations in collective behavior
18 Jun 2018 - 22 Jun 2018 • American Institute of Mathematics, San Jose, United States
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.
Summer Graduate School: Derived Categories
25 Jun 2018 - 06 Jul 2018 • Mathematical Sciences Research Institute, Berkeley, United States
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.
Permutation Patterns 2018
09 Jul 2018 - 13 Jul 2018 • Dartmouth College, Hanover, NH, United States
Topical Workshop: SageDays@ICERM: Combinatorics and Representation Theory
23 Jul 2018 - 27 Jul 2018 • ICERM/ Brown University, Providence, Rhode Island, United States
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.
Sagemath, sage, combinatorics, algebra, representation theory
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
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.
Nonlinear Algebra (Semester Program)
05 Sep 2018 - 07 Dec 2018 • ICERM/ Brown University, Providence, Rhode Island, United States
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.
AIM Workshop: Boltzmann Machines
17 Sep 2018 - 21 Sep 2018 • American Institute of Mathematics, San Jose, United States
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.
Semester Program Workshop: Core computational methods
17 Sep 2018 - 21 Sep 2018 • ICERM/ Brown University, Providence, Rhode Island, United States
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.
nonlinear algebra, algorithms, numerical algebraic geometry, symbolic computation, combinatorial methods
AIM Workshop: Categorified Hecke algebras, link homology, and Hilbert schemes
01 Oct 2018 - 05 Oct 2018 • American Institute of Mathematics, San Jose, United States
This workshop, sponsored by AIM and the NSF, will be devoted to the representation theory of the type A Hecke algebras, their categorifications and connections to the Hilbert scheme of points and link invariants.
Conference on Diophantine m-tuples and Related Problems II
15 Oct 2018 - 17 Oct 2018 • Purdue University Northwest, Westville/Hammond Ind, United States
The conference will be dedicated to Diophantine m-tuples and related problems. However, other aspects of Diophantine equations may appear as well.
Semester Program Workshop: Real algebraic geometry and optimization
15 Oct 2018 - 19 Oct 2018 • ICERM/ Brown University, Providence, Rhode Island, United States
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.
real algebraic geometry and optimization, computational tools for semi-algebraic sets, semidefinite programming techniques for polynomial optimization
Semester Program Workshop: Nonlinear algebra in applications
12 Nov 2018 - 16 Nov 2018 • ICERM/ Brown University, Providence, Rhode Island, United States
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.
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.
Sixth Abel Conference: A Mathematical Celebration of Robert P. Langlands
14 Nov 2018 - 16 Nov 2018 • University of Minnesota in Minneapolis, MN, United States
AIM Workshop: Sarnak's conjecture
10 Dec 2018 - 14 Dec 2018 • American Institute of Mathematics, San Jose, United States
This workshop, sponsored by AIM and the NSF, will be devoted to the recent progress on Chowla and Sarnak's conjectures on the Liouville function.
Derived Algebraic Geometry
22 Jan 2019 - 24 May 2019 • Mathematical Sciences Research Institute, Berkeley, United States
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.
Birational Geometry and Moduli Spaces
22 Jan 2019 - 24 May 2019 • Mathematical Sciences Research Institute, Berkeley, United States
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.
Introductory Workshop: Derived Algebraic Geometry and Birational Geometry and Moduli Spaces
31 Jan 2019 - 08 Feb 2019 • Mathematical Sciences Research Institute, Berkeley, United States
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.
Braids, Resolvent Degree and Hilbert's 13th Problem
19 Feb 2019 - 21 Feb 2019 • Institute for Pure and Applied Mathematics (IPAM),, United States
Derived Algebraic Geometry and its Applications
25 Mar 2019 - 29 Mar 2019 • Mathematical Sciences Research Institute, Berkeley, United States
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.
AIM Workshop: Problems on holomorphic function spaces and complex dynamics
08 Apr 2019 - 12 Apr 2019 • American Institute of Mathematics, San Jose, United States
This workshop, sponsored by AIM, AWM, and the NSF, will be devoted to the interplay of various aspects of complex function theory, including Hardy Spaces of holomorphic functions, Bergman Spaces and Fatou-Bieberbach domains, and holomorphic dynamics in higher dimensions.
Recent Progress in Moduli Theory
06 May 2019 - 10 May 2019 • Mathematical Sciences Research Institute, Berkeley, United States
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.
AIM Workshop: Smooth concordance classes of topologically slice knots
03 Jun 2019 - 07 Jun 2019 • American Institute of Mathematics, San Jose, United States
This workshop, sponsored by AIM and the NSF, will be devoted to the study of smooth concordance classes of topologically slice knots.
AIM Workshop: Shape optimization with surface interactions
17 Jun 2019 - 21 Jun 2019 • American Institute of Mathematics, San Jose, United States
This workshop, sponsored by AIM and the NSF, will be devoted to identifying and attacking "hot" open problems in the spectral shape optimization characterized by an interplay between the geometry and singularly supported potentials.
AIM Workshop: Equilibrium states for dynamical systems arising from geometry
15 Jul 2019 - 19 Jul 2019 • American Institute of Mathematics, San Jose, United States
This workshop, sponsored by AIM and the NSF, will address questions of existence and uniqueness of equilibrium states, and their statistical properties, for dynamical systems arising from geometry, particularly geodesic flows.
AIM Workshop: Zeros of random polynomials
12 Aug 2019 - 16 Aug 2019 • American Institute of Mathematics, San Jose, United States
This workshop, sponsored by AIM and the NSF, will be devoted to the zero distribution of random polynomials spanned by various deterministic bases.
Illustrating Mathematics (Semester Program)
04 Sep 2019 - 06 Dec 2019 • ICERM/ Brown University, Providence, Rhode Island, United States
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.
Geometry and Topology, Algebra and Number Theory, Dynamics and Probability,
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Last updated: 28 May 2018