Meetings/Workshops on Algebra in the United States (USA)
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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.
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.
Ideals, Varieties, Applications — Celebrating the Influence of David Cox
10 Jun 2019 - 14 Jun 2019 • Amherst, MA, United States
Conference topics will include Groebner bases, toric varieties, Cox rings, syzygies, and applications to CAD software.
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.
Floer Homotopy Theory and Low-Dimensional Topology
05 Aug 2019 - 07 Aug 2019 • Eugene, Oregon, United States
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 August 2018