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Representation Theory And Flag Varieties

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 Proceedings from an AMS Special Session capture innovative advances in representation theory and flag/quiver variety geometry. Contributions explore generalized Shubert calculus, quantum K-theory, Springer fibers, and geometric Langlands, unveiling profound links between algebra, geometry, and mathematical physics.
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The Ideal Theory And Arithmetic Of Rings, Monoids, And Semigroups

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 International talks in Palermo spark new insights into algebraic structures, uniting experts on arithmetic and ideal theories. The discussions delve into commutative monoids, semigroups, rings, and non-unique factorizations while exploring monoid rings, numerical monoids, and integer-valued polynomials.
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Quantum Groups, Hopf Algebras, And Applications - In Memory Of Earl Jay Taft

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 Proceedings of an AMS Special Session uncover fresh insights into quantum groups and Hopf algebras through research linking finite groups, tensor categories, and topology. Articles extend to quantum field theory and condensed matter physics, honoring a visionary pioneer and sparking new discussions.
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Recent Progress In Function Theory And Operator Theory

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 Contains the proceedings of the AMS Special Session on Recent Progress in Function Theory and Operator Theory, held virtually on April 6, 2022. The research papers in this volume deal with the interplay between function theory and operator theory and the way in which they influence each other.
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Current Trends In Dynamical Systems, Fractal Geometry, And Their Applications

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 Based on AMS session talks, this volume explores the interplay of dynamical systems, ergodic theory, fractal geometry, operator theory, and symbolic dynamics. It presents techniques including relative topological pressure, a dual-operator framework for diffusion, and models in measurable dynamics.
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Higher Segal Spaces And Applications

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 Featuring proceedings from a January 2024 workshop in Banff, this volume explores cutting-edge insights into higher Segal spaces and their versatile roles in algebra, geometry, combinatorics, and beyond. Expertly crafted expository papers bridge homotopy theory and higher category theory for both newcomers and specialists.
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Linear Algebra, Matrices, And Their Applications

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 Fifteen articles presented at ICLAA 2023 in Manipal, India, delve into recent advances in linear algebra, covering developments in matrix theory, linear operators in Banach algebras, game theory, and optimal designs. Expository contributions also spotlight emerging research directions and intriguing open problems.
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Inverse Problems, Geometric And Topological Aspects Of Representation Theory, And Low-Dimensional Topology

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 Highlights from an AMS Special Session on inverse problems, this collection presents rigorous research on quantum invariants, Khovanov homology, quantum groups, topological field theories, and tensor networks. It serves as a resource for those exploring low-dimensional topology, mathematical physics, and algebraic geometry.
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Modern Algebra Volume 2 - Groups And Algebras

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 An international online meeting held from July 3â€"7, 2024 united over 350 mathematicians from nearly 40 countries amid wartime challenges. The 14th Ukraine Algebra Conference featured 150 talks and generated two volumes of proceedings, exploring developments in Representation Theory and in Groups and Algebras.
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Arithmetic, Geometry, Cryptography, And Coding Theory 2021

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 Illustrates the fruitful interaction between abstract theory and explicit computations, covering a large range of topics, including Belyi maps, Galois representations attached to elliptic curves, reconstruction of curves from their Jacobians, isogeny graphs of abelian varieties, hypergeometric equations, and Drinfeld modules.
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Quaternion Fusion Packets

by Michael Aschbacher

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 Provides a characterization of the 2-fusion systems of the groups of Lie type and odd characteristic, a result analogous to the Classical Involution Theorem for groups. The theorem is the most difficult step in a two-part program.
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Identification And Control - Some New Challenges

by Stephane Gerbi

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 Covers developments in control theory and inverse problems, including the problem of CalderÃ³n, which consists of determining a conductivity appearing in an elliptic equation from excitation and measurements on a part of the boundary of the domain, and an introduction to the mathematical analysis of inverse spectral problems of Borg- Levinson type.
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Lie Groups, Number Theory, And Vertex Algebras

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 Presents the proceedings of the conference â€˜Representation Theory XVIâ€™, held in June 2019. The articles address selected aspects of representation theory of reductive Lie groups and vertex algebras, and are written by prominent experts in the field as well as junior researchers.
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Geometry At The Frontier - Symmetries And Moduli Spaces Of Algebraic Varieties

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 Articles in this volume are based on lectures given at three conferences on Geometry at the Frontier, held at the Universidad de la Frontera, Pucon, Chile in 2016, 2017, and 2018. The papers cover recent developments on the theory of algebraic varieties - in particular, of their automorphism groups and moduli spaces.
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Representations Of Algebras, Geometry And Physics

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 Presents selected expository lectures delivered at the 2018 Maurice Auslander Distinguished Lectures and International Conference, held in April 2018. Topics include an introduction to a new class of quiver algebras on surfaces called â€˜geodesic ghor algebrasâ€™, and a presentation of Feynman categories from a representation-theoretic viewpoint.
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Abelian Varieties And Number Theory

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 Presents a collection of articles on abelian varieties and number theory dedicated to Gerhard Frey's 75th birthday. The book contains original articles by experts in the area of arithmetic and algebraic geometry.
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Representation Theory And Beyond

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 Presents several themes of contemporary representation theory together with some new tools, such as stable ?-categories, stable derivators, and contramodules. Coverage includes the representation theory of finite sets with correspondences, geometric theory of quiver Grassmannians, recollements and purity, and maximal green sequences.
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Geometry Of Submanifolds

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 Presents a celebration of the geometry of submanifolds and its connections with other areas of mathematics and cover themes rooted in Bang-Yen Chen's work, from investigations on the spectrum of the Laplacian on complete Riemannian manifolds to the geometry of symmetric spaces.
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Recent Trends In Operator Theory And Applications

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 Contains the proceedings of the workshop on Recent Trends in Operator Theory and Applications (RTOTA 2018). Topics addressed include generalized numerical ranges and their application to study perturbation of operators; a survey of results on Toeplitz operators; and results on the 2-local reflexivity problem of a set of operators.
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Algebraic Curves And Their Applications

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 Contains a collection of papers on algebraic curves and their applications. While algebraic curves traditionally have provided a path toward modern algebraic geometry, they also provide many applications in number theory, computer security and cryptography, coding theory, differential equations, and more.
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Topology And Quantum Theory In Interaction

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 Contains the proceedings of the NSF-CBMS Regional Conference on Topological and Geometric Methods in QFT, held in 2017. Papers amplify various aspects of the Freed-Hopkins program, develop some category theory, which lies behind the cobordism hypothesis, and relate to Costello's approach to perturbative quantum field theory.
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Mathematical Problems In Quantum Physics

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 Contains the proceedings of the QMATH13: Mathematical Results in Quantum Physics conference, held in October 2016. Topics include random Schrodinger operators, many-body fermionic systems, atomic systems, effective equations, and applications to quantum field theory.
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Surveys In Representation Theory Of Algebras

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 Contains selected expository lectures delivered at the annual Maurice Auslander Distinguished Lectures and International Conference over the last several years. The selected articles reflect the diverse landscape of modern representation theory of algebras.
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Advances In Rings And Modules

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 Provides a snapshot of the diversity of themes and applications that interest algebraists today. The papers highlight the latest progress in ring and module research and present work done on the frontiers of the topics discussed. In addition, selected expository articles are included.
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