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 and infinite dimensional lie algebras chapter 3 hilbert schemes and infinite dimensional lie algebras chapter 4 chern character operators chapter 5 multiple zeta values and hilbert schemes chapter 6 lie algebras and incidence hilbert schemes part 3 cohomology rings of hilbert schemes of points chapter 7. Title html unitary dilations of hilbert space operators and related topics authors product display b sz nagy publisher blurb a co publication of the ams and cbms. 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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