Topics in Cohomological Studies of Algebraic Varieties : Impanga Lecture Notes

The articles in this volume study various cohomological aspects of algebraic varieties: - characteristic classes of singular varieties; - geometry of flag varieties; - cohomological computations for homogeneous spaces; - K-theory of algebraic varieties; - quantum cohomology and Gromov-Witten theory....

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Detaylı Bibliyografya
Yazar: Pragacz, Piotr, 19..-...., mathématicien
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Edisyon:1st ed. 2005.
Seri Bilgileri:Trends in Mathematics
Konular:
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Variante du titre:Mélanges :, Grothendieck
Edition sous un autre format:• Topics in cohomological studies of algebraic varieties, Impanga lecture notes, [en hommage à Grothendieck], Piotr Pragacz, editor, Basel, Birkhäuser, 2005, 1 vol. (XXVIII-297 p.), Trends in mathematics, 3-7643-7214-1
• Topics in Cohomological Studies of Algebraic Varieties, Texte imprimé, 9783764390587
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505 1 |a Characteristic Classes of Singular Varieties Lectures on the Geometry of Flag Varieties Combinatorial K-theory Morse Functions and Cohomology of Homogeneous Spaces Integrable Systems and Gromov-Witten Theory Multiplying Schubert Classes Lectures on Characteristic Classes of Constructible Functions Algebraic K-theory of Schemes Gromov-Witten Invariants and Quantum Cohomology of Grassmannians 
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520 |a The articles in this volume study various cohomological aspects of algebraic varieties: - characteristic classes of singular varieties; - geometry of flag varieties; - cohomological computations for homogeneous spaces; - K-theory of algebraic varieties; - quantum cohomology and Gromov-Witten theory. The main purpose is to give comprehensive introductions to the above topics through a series of "friendly" texts starting from a very elementary level and ending with the discussion of current research. In the articles, the reader will find classical results and methods as well as new ones. Numerous examples will help to understand the mysteries of the cohomological theories presented. The book will be a useful guide to research in the above-mentioned areas. It is adressed to researchers and graduate students in algebraic geometry, algebraic topology, and singularity theory, as well as to mathematicians interested in homogeneous varieties and symmetric functions. Most of the material exposed in the volume has not appeared in books before. Contributors: Paolo Aluffi Michel Brion Anders Skovsted Buch Haibao Duan Ali Ulas Ozgur Kisisel Piotr Pragacz Jörg Schürmann Marek Szyjewski Harry Tamvakis 
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