This book surveys recent developments of the theory of hilbert schemes of points on complex surfaces and its interplay with infinite dimensional lie algebras it starts with the basics of hilbert schemes of points and presents in detail an example of hilbert schemes of points on the projective plane. Hilbert schemes of points have connections to several fields of mathematics including moduli spaces of sheaves donaldson invariants enumerative geometry of curves infinite dimensional lie algebras and vertex algebras and also to theoretical physics this talk will try to give an overview over these connections. Get this from a library hilbert schemes of points and infinite dimensional lie algebras zhenbo qin hilbert schemes which parametrize subschemes in algebraic varieties have been extensively studied in algebraic geometry for the last 50 years the most interesting class of hilbert schemes are . Hilbert schemes of points and infinite dimensional lie algebras zhenbo qin publication year 2018 isbn 10 1 4704 4188 8 isbn 13 978 1 4704 4188 3 this page is maintained by the author contact information zhenbo qin department of mathematics university of missouri columbia mo 65211
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