A Plethora of Cluster Structures on $GL_n$

A Plethora of Cluster Structures on $GL_n$
Author: M. Gekhtman
Publisher: American Mathematical Society
Total Pages: 116
Release: 2024-06-07
Genre: Mathematics
ISBN: 1470469707

Download A Plethora of Cluster Structures on $GL_n$ Book in PDF, Epub and Kindle

View the abstract.

Exotic Cluster Structures on $SL_n$: The Cremmer-Gervais Case

Exotic Cluster Structures on $SL_n$: The Cremmer-Gervais Case
Author: M. Gekhtman
Publisher: American Mathematical Soc.
Total Pages: 106
Release: 2017-02-20
Genre: Mathematics
ISBN: 1470422581

Download Exotic Cluster Structures on $SL_n$: The Cremmer-Gervais Case Book in PDF, Epub and Kindle

This is the second paper in the series of papers dedicated to the study of natural cluster structures in the rings of regular functions on simple complex Lie groups and Poisson–Lie structures compatible with these cluster structures. According to our main conjecture, each class in the Belavin–Drinfeld classification of Poisson–Lie structures on corresponds to a cluster structure in . The authors have shown before that this conjecture holds for any in the case of the standard Poisson–Lie structure and for all Belavin–Drinfeld classes in , . In this paper the authors establish it for the Cremmer–Gervais Poisson–Lie structure on , which is the least similar to the standard one.

Homotopy in Exact Categories

Homotopy in Exact Categories
Author: Jack Kelly
Publisher: American Mathematical Society
Total Pages: 172
Release: 2024-07-25
Genre: Mathematics
ISBN: 1470470411

Download Homotopy in Exact Categories Book in PDF, Epub and Kindle

View the abstract.

Reconstructing Orbit Closures from their Boundaries

Reconstructing Orbit Closures from their Boundaries
Author: Paul Apisa
Publisher: American Mathematical Society
Total Pages: 154
Release: 2024-07-25
Genre: Mathematics
ISBN: 1470469111

Download Reconstructing Orbit Closures from their Boundaries Book in PDF, Epub and Kindle

View the abstract.

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

On $p$-Adic $L$-Functions for Hilbert Modular Forms
Author: John Bergdall
Publisher: American Mathematical Society
Total Pages: 138
Release: 2024-07-25
Genre: Mathematics
ISBN: 1470470314

Download On $p$-Adic $L$-Functions for Hilbert Modular Forms Book in PDF, Epub and Kindle

View the abstract.

Plasticity of the Auditory System

Plasticity of the Auditory System
Author: Thomas N. Parks
Publisher: Springer Science & Business Media
Total Pages: 336
Release: 2013-03-09
Genre: Science
ISBN: 1475742193

Download Plasticity of the Auditory System Book in PDF, Epub and Kindle

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
Author: Robert Vink
Publisher: University of Adelaide Press
Total Pages: 354
Release: 2011
Genre: Medical
ISBN: 0987073052

Download Magnesium in the Central Nervous System Book in PDF, Epub and Kindle

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.