{ "id": "1801.09818", "version": "v1", "published": "2018-01-30T01:36:51.000Z", "updated": "2018-01-30T01:36:51.000Z", "title": "On the crossroads of enumerative geometry and geometric representation theory", "authors": [ "Andrei Okounkov" ], "categories": [ "math.RT", "math-ph", "math.AG", "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.", "revisions": [ { "version": "v1", "updated": "2018-01-30T01:36:51.000Z" } ], "analyses": { "keywords": [ "geometric representation theory", "enumerative geometry", "crossroads", "expository accounts", "general mathematical audience" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }