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Branes and DAHA Representations
In recent years, there has been an increased interest in exploring the connections between various disciplines of mathematics and theoretical physics such as representation theory, algebraic geometry, quantum field theory, and string theory. One of the challenges of modern mathematical physics is to understand rigorously the idea of quantization. The program of quantization by branes, which com…
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- ISBN/ISSN
- 978-3-031-28153-2
- Collation
- VI, 143
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What is the Genus?
Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions. Its importance in analysis, algebraic geometry, number theory and topology is emphasized through many theorems. Al…
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- ISBN/ISSN
- 978-3-319-42312-8
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WALCOM: Algorithms and Computation 9th International Workshop, WALCOM 2015, …
This book constitutes the thoroughly refereed conference proceedings of the 9th International Workshop on Algorithms and Computation, WALCOM 2015, held in Dhaka, Bangladesh, in February 2015. The 26 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 85 submissions. The papers are organized in topical sections on approximation algorithms, data s…
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- ISBN/ISSN
- 978-3-319-15612-5
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Simplicial and Dendroidal Homotopy Theory
This open access book offers a self-contained introduction to the homotopy theory of simplicial and dendroidal sets and spaces. These are essential for the study of categories, operads, and algebraic structure up to coherent homotopy. The dendroidal theory combines the combinatorics of trees with the theory of Quillen model categories. Dendroidal sets are a natural generalization of simplic…
- Edition
- 1
- ISBN/ISSN
- 978-3-031-10447-3
- Collation
- Mathematics
- Series Title
- Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
- Call Number
- 510
Infinity Properads and Infinity Wheeled Properads
The topic of this book sits at the interface of the theory of higher categories (in the guise of (∞,1)-categories) and the theory of properads. Properads are devices more general than operads and enable one to encode bialgebraic, rather than just (co)algebraic, structures. The text extends both the Joyal-Lurie approach to higher categories and the Cisinski-Moerdijk-Weiss approach to higher…
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- ISBN/ISSN
- 978-3-319-20546-5
- Collation
- XV, 358
- Series Title
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- Call Number
- 510 HAC i
Configuration Spaces Geometry, Topology and Representation Theory
This book collects the scientific contributions of a group of leading experts who took part in the INdAM Meeting held in Cortona in September 2014. With combinatorial techniques as the central theme, it focuses on recent developments in configuration spaces from various perspectives. It also discusses their applications in areas ranging from representation theory, toric geometry and geometric g…
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- ISBN/ISSN
- 9783319315805
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- Series Title
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- Call Number
- 512.9
Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1
This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in the multiprojective space P^1 x P^1. It collects the various current threads in the literature on this topic with the aim of providing a self-contained, unified introduction while also advancing some new ideas. The relevant constructions related to multiprojective spaces are r…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-24166-1
- Collation
- VIII, 134
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- 512.5 GUA a
Rigid Germs, the Valuative Tree, and Applications to Kato Varieties
This thesis deals with specific features of the theory of holomorphic dynamics in dimension 2 and then sets out to study analogous questions in higher dimensions, e.g. dealing with normal forms for rigid germs, and examples of Kato 3-folds. The local dynamics of holomorphic maps around critical points is still not completely understood, in dimension 2 or higher, due to the richness of the ge…
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Rigid Geometry of Curves and Their Jacobians
This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. In the case of cu…
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- ISBN/ISSN
- 978-3-319-27371-6
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- -
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Rigid Cohomology over Laurent Series Fields
In this monograph, the authors develop a new theory of p-adic cohomology for varieties over Laurent series fields in positive characteristic, based on Berthelot's theory of rigid cohomology. Many major fundamental properties of these cohomology groups are proven, such as finite dimensionality and cohomological descent, as well as interpretations in terms of Monsky-Washnitzer cohomology and Le S…
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- -
- ISBN/ISSN
- 978-3-319-30951-4
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- -
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