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A Celebration of Algebraic Geometry
This volume resulted from the conference A Celebration of Algebraic Geometry, which was held at Harvard University from August 25-28, 2011, in honor of Joe Harris' 60th birthday. Harris is famous around the world for his lively textbooks and enthusiastic teaching, as well as for his seminal research contributions. The articles are written in this spirit: clear, original, engaging, enlivened by examples, and accessible to young mathematicians. The articles in this volume focus on the moduli space of curves and more general varieties, commutative algebra, invariant theory, enumerative geometry both classical and modern, rationally connected and Fano varieties, Hodge theory and abelian varieties, and Calabi-Yau and hyperkähler manifolds. Taken together, they present a comprehensive view of the long frontier of current knowledge in algebraic geometry. Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).
Algebraic Geometry: Salt Lake City 2015
This is Part 1 of a two-volume set. Since Oscar Zariski organized a meeting in 1954, there has been a major algebraic geometry meeting every decade: Woods Hole (1964), Arcata (1974), Bowdoin (1985), Santa Cruz (1995), and Seattle (2005). The American Mathematical Society has supported these summer institutes for over 50 years. Their proceedings volumes have been extremely influential, summarizing the state of algebraic geometry at the time and pointing to future developments. The most recent Summer Institute in Algebraic Geometry was held July 2015 at the University of Utah in Salt Lake City, sponsored by the AMS with the collaboration of the Clay Mathematics Institute. This volume includes ...
General Knowledge 2022
1. General Knowledge 2021 is a compact version of all current events of the whole year. 2. Divided into 5 Key Sections; History, Geography, Indian Polity, Indian Economy, General Science and General Knowledge. 3. A separate section has been provided for Current Affairs 4. Provides accurate, perfect and complete coverage of facts. 5. It is useful for the preparation of SSC, Bank, Railway, Police, NDA/CDS and various other competitive exams. General knowledge carries an important section in many competitive examinations. Keeping an updated knowledge of the current events helps not only in exams but also in the everyday life. The New Edition of General Knowledge 2022 provides you the current ev...
Plato on Time and the World
This book focuses on two central topics that could help us answer how Plato conceives of the physical world and its relationship to Forms. The first one is the Platonic concept of time. What is it, how is it defined, what is it not, and how does it help us describe the changing realities surrounding us? The second one is Plato’s understanding of the perceptible world. How is it related to Forms, and how exactly does it work? These are central, wide-ranging, and highly contested questions garnering attention in recent Platonic scholarship. This book brings together an international team that aims to offer bold, innovative, and thought-provoking answers to these questions. The nine contributions in this book represent a diverse range of starting points, methodologies, and interpretative traditions whose collective aim is to challenge assumptions about Plato’s philosophy and help the reader rethink and revisit the Platonic corpus with fresh eyes.
Higher Dimensional Varieties and Rational Points
Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long time, especially in the case of curves. The aim of the Summer School and Conference on "Higher Dimensional Varieties and Rational Points" held in Budapest, Hungary during September 2001 was to bring together students and experts from the arithmetic and geometric sides of algebraic geometry in order to get a better understanding of the current problems, interactions and advances in higher dimension. The lecture series and conference lectures assembled in this volume give a comprehensive introduction to students and researchers in algebraic geometry and in related fields to the main ideas of this rapidly developing area.
Hasse-Schmidt Derivations on Grassmann Algebras
This book provides a comprehensive advanced multi-linear algebra course based on the concept of Hasse-Schmidt derivations on a Grassmann algebra (an analogue of the Taylor expansion for real-valued functions), and shows how this notion provides a natural framework for many ostensibly unrelated subjects: traces of an endomorphism and the Cayley-Hamilton theorem, generic linear ODEs and their Wronskians, the exponential of a matrix with indeterminate entries (Putzer's method revisited), universal decomposition of a polynomial in the product of two monic polynomials of fixed smaller degree, Schubert calculus for Grassmannian varieties, and vertex operators obtained with the help of Schubert cal...
