English

On the crossroads of enumerative geometry and geometric representation theory

Representation Theory 2018-02-02 v1 Mathematical Physics Algebraic Geometry math.MP

Abstract

The subjects in the title are interwoven in many different and very deep ways. I recently wrote several expository accounts [64-66] that reflect a certain range of developments, but even in their totality they cannot be taken as a comprehensive survey. In the format of a 30-page contribution aimed at a general mathematical audience, I have decided to illustrate some of the basic ideas in one very interesting example - that of HilbpC2, nq, hoping to spark the curiosity of colleagues in those numerous fields of study where one should expect applications.

Keywords

Cite

@article{arxiv.1801.09818,
  title  = {On the crossroads of enumerative geometry and geometric representation theory},
  author = {Andrei Okounkov},
  journal= {arXiv preprint arXiv:1801.09818},
  year   = {2018}
}

Comments

This is my contribution to the proceedings of ICM 2018