Titlebook: Intersection Homology & Perverse Sheaves; with Applications to Lauren?iu G. Maxim Textbook 2019 Springer Nature Switzerland AG 2019 interse

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Intersection Homology & Perverse Sheaves978-3-030-27644-7Series ISSN 0072-5285 Series E-ISSN 2197-5612

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Constructibility in Algebraic Geometry, be seen as generalizations of local systems, have powerful applications to the study of topology of singular spaces, especially in the complex algebraic/analytic context. This chapter gives a brief introduction of the theory of constructible sheaves in complex algebraic geometry.

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Perverse Sheaves,s, including in adjacent fields such as number theory, representation theory, combinatorics and algebra. In this chapter, we overview the relevant definitions and results of the theory of perverse sheaves, with an emphasis on examples and applications (see also Chapters . and . for more applications of perverse sheaves).

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