From partitions to Hodge numbers of Hilbert schemes of surfaces

@article{Gillman2019FromPT,
  title={From partitions to Hodge numbers of Hilbert schemes of surfaces},
  author={Nate Gillman and Xavier Gonzalez and Ken Ono and Larry Rolen and Matthew Schoenbauer},
  journal={Philosophical Transactions of the Royal Society A},
  year={2019},
  volume={378}
}
We celebrate the 100th anniversary of Srinivasa Ramanujan's election as a Fellow of the Royal Society, which was largely based on his work with G. H. Hardy on the asymptotic properties of the partition function. After recalling this revolutionary work, marking the birth of the ‘circle method’, we present a contemporary example of its legacy in topology. We deduce the equidistribution of Hodge numbers for Hilbert schemes of suitable smooth projective surfaces. This article is part of a… 

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