Free PDF Lectures on Hilbert Schemes of Points on Surfaces (University Lecture Series)

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Book Details :
Published on: 1999-09-17
Released on:
Original language: English

The Hilbert scheme $X^{[n]}$ of a surface $X$ describes collections of $n$ (not necessarily distinct) points on $X$. More precisely, it is the moduli space for $0$-dimensional subschemes of $X$ of length $n$. Recently it was realized that Hilbert schemes originally studied in algebraic geometry are closely related to several branches of mathematics, such as singularities, symplectic geometry, representation theory-even theoretical physics. The discussion in the book reflects this feature of Hilbert schemes. For example, a construction of the representation of the infinite dimensional Heisenberg algebra (i.e., Fock space) is presented. This representation has been studied extensively in the literature in connection with affine Lie algebras, conformal field theory, etc. However, the construction presented in this volume is completely unique and provides the unexplored link between geometry and representation theory. The book offers a nice survey of current developments in this rapidly growing subject. It is suitable as a text at the advanced graduate level. VARIOUS NUMBER THEORISTS' HOMEPAGES/DEPARTMENTAL LISTINGS Various Number Theorists' Home Pages/Departmental listings Complete listing [ A B C D E F G H I J K L M] [ N O P Q R S T U V ... Number Theory Books 1996 Number Theory Books 1996. P-adic Numbers p-adic Analysis and Zeta-Functions (2nd edn.) N. Koblitz Graduate Text 54 Springer 1996. Algorithmic Number Theory Vol ... Daniel Chan's Home Page - University of New South Wales A/Prof Daniel Chan Associate Professor Head of Pure Mathematics School of Mathematics and Statistics University of New South Wales Sydney 2052 NSW Geometry - Wikipedia The earliest recorded beginnings of geometry can be traced to ancient Mesopotamia and Egypt in the 2nd millennium BC. Early geometry was a collection of empirically ... Duality (mathematics) - Wikipedia A duality in geometry is provided by the dual cone construction. Given a set of points in the plane (or more generally points in ) the dual cone is defined as the ... The 100 Greatest Mathematicians - fabpedigree.com The Greatest Mathematicians of the Past ranked in approximate order of "greatness." To qualify the mathematician must be born before 1930 and his work must have 2017 :: Joint Mathematics Meetings :: January 4 - 7 ... Monday January 2 2017. Monday January 2 2017 9:00 a.m.-4:30 p.m. AMS Short Course on Random Growth Models Part I M301 Marquis Level Marriott Marquis Courses in Computer Science - University at Albany-SUNY Courses in Computer Science. I CSI 100 Computing and Disability (3) The relation between people with disabilities and computers. Lectures tutorials and laboratory ... Yau Mathematical Sciences Center Tsinghua University ... Kac-Moody groups generealized minors and quiver representations: 2016-6-21 2016-6-21 Stella Salvatore Mathematics Calendar - American Mathematical Society Mathematics Calendar. Questions and answers regarding this page can be sent to mathcal@ams.org. You can submit an entry to the Mathematics Calendar by filling out ...
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