A Plethora of Cluster Structures on $GL_n$

A Plethora of Cluster Structures on $GL_n$ PDF Author: M. Gekhtman
Publisher: American Mathematical Society
ISBN: 1470469707
Category : Mathematics
Languages : en
Pages : 116

Get Book Here

Book Description
View the abstract.

A Plethora of Cluster Structures on $GL_n$

A Plethora of Cluster Structures on $GL_n$ PDF Author: M. Gekhtman
Publisher: American Mathematical Society
ISBN: 1470469707
Category : Mathematics
Languages : en
Pages : 116

Get Book Here

Book Description
View the abstract.

Multiple Generalized Cluster Structures on D(GLn)

Multiple Generalized Cluster Structures on D(GLn) PDF Author: Dmytro Voloshyn
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Get Book Here

Book Description


Homotopy in Exact Categories

Homotopy in Exact Categories PDF Author: Jack Kelly
Publisher: American Mathematical Society
ISBN: 1470470411
Category : Mathematics
Languages : en
Pages : 172

Get Book Here

Book Description
View the abstract.

Reconstructing Orbit Closures from their Boundaries

Reconstructing Orbit Closures from their Boundaries PDF Author: Paul Apisa
Publisher: American Mathematical Society
ISBN: 1470469111
Category : Mathematics
Languages : en
Pages : 154

Get Book Here

Book Description
View the abstract.

On $p$-Adic $L$-Functions for Hilbert Modular Forms

On $p$-Adic $L$-Functions for Hilbert Modular Forms PDF Author: John Bergdall
Publisher: American Mathematical Society
ISBN: 1470470314
Category : Mathematics
Languages : en
Pages : 138

Get Book Here

Book Description
View the abstract.

Asymptotic Completeness for a Scalar Quasilinear Wave Equation Satisfying the Weak Null Condition

Asymptotic Completeness for a Scalar Quasilinear Wave Equation Satisfying the Weak Null Condition PDF Author: Dongxiao Yu
Publisher: American Mathematical Society
ISBN: 1470470489
Category : Mathematics
Languages : en
Pages : 140

Get Book Here

Book Description
View the abstract.

Reflexive Modules on Normal Gorenstein Stein Surfaces, Their Deformations and Moduli

Reflexive Modules on Normal Gorenstein Stein Surfaces, Their Deformations and Moduli PDF Author: Javier Fernández de Bobadilla
Publisher: American Mathematical Society
ISBN: 1470470535
Category : Mathematics
Languages : en
Pages : 110

Get Book Here

Book Description
View the abstract.

Lectures on Field Theory and Topology

Lectures on Field Theory and Topology PDF Author: Daniel S. Freed
Publisher: American Mathematical Soc.
ISBN: 1470452065
Category : Algebraic topology
Languages : en
Pages : 186

Get Book Here

Book Description
These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.

Plasticity of the Auditory System

Plasticity of the Auditory System PDF Author: Thomas N. Parks
Publisher: Springer Science & Business Media
ISBN: 1475742193
Category : Science
Languages : en
Pages : 336

Get Book Here

Book Description
The auditory system has a remarkable ability to adjust to an ever-changing environment. The six review chapters that comprise Plasticity of the Central Auditory System cover a spectrum of issues concerning this ability to adapt, defined by the widely applicable term "plasticity". With chapters focusing on the development of the cochlear nucleus, the mammalian superior olivary complex, plasticity in binaural hearing, plasticity in the auditory cortex, neural plasticity in bird songs, and plasticity in the insect auditory system, this volume represents much of the most current research in this field. The volume is thorough enough to stand alone, but is closely related a previous SHAR volume, Development of the Auditory System (Volume 9) by Rubel, Popper, and Fay. The book fully addresses the difficulties, challenges, and complexities of this topic as it applies to the auditory development of a wide variety of species.

Magnesium in the Central Nervous System

Magnesium in the Central Nervous System PDF Author: Robert Vink
Publisher: University of Adelaide Press
ISBN: 0987073052
Category : Medical
Languages : en
Pages : 354

Get Book Here

Book Description
The brain is the most complex organ in our body. Indeed, it is perhaps the most complex structure we have ever encountered in nature. Both structurally and functionally, there are many peculiarities that differentiate the brain from all other organs. The brain is our connection to the world around us and by governing nervous system and higher function, any disturbance induces severe neurological and psychiatric disorders that can have a devastating effect on quality of life. Our understanding of the physiology and biochemistry of the brain has improved dramatically in the last two decades. In particular, the critical role of cations, including magnesium, has become evident, even if incompletely understood at a mechanistic level. The exact role and regulation of magnesium, in particular, remains elusive, largely because intracellular levels are so difficult to routinely quantify. Nonetheless, the importance of magnesium to normal central nervous system activity is self-evident given the complicated homeostatic mechanisms that maintain the concentration of this cation within strict limits essential for normal physiology and metabolism. There is also considerable accumulating evidence to suggest alterations to some brain functions in both normal and pathological conditions may be linked to alterations in local magnesium concentration. This book, containing chapters written by some of the foremost experts in the field of magnesium research, brings together the latest in experimental and clinical magnesium research as it relates to the central nervous system. It offers a complete and updated view of magnesiums involvement in central nervous system function and in so doing, brings together two main pillars of contemporary neuroscience research, namely providing an explanation for the molecular mechanisms involved in brain function, and emphasizing the connections between the molecular changes and behavior. It is the untiring efforts of those magnesium researchers who have dedicated their lives to unraveling the mysteries of magnesiums role in biological systems that has inspired the collation of this volume of work.