Quantum cohomology of the Hilbert scheme of points of the plane and CohFTs 2
主 题: Quantum cohomology of the Hilbert scheme of points of the plane and CohFTs 2
报告人: Rahul Pandharipande (ETH, Zurich)
时 间: 2017-09-08 10:00 - 2017-09-08 11:30
地 点: Lecture Hall, Jiayibing Building, Jingchunyuan 82, BICMR
\n\tPart II
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\n\tI will discuss the full GW theory of Hilb(C^2,n) and the lifting of the older genus 0 equivalences to all genera (recent joint work with H.-H. Tseng). The lifted local curve theories are new and require definitions. The main steps in the proof involve understanding the freedom of the Givental-Teleman classification and an explicit analytic continuation of the fundamental solution of the QDE of Hilb(C^2,n) obtained in a previous paper with Okounkov. An outcome is a proof of the full crepant resolution conjecture for Hilb(C^2,n) -> Sym^n(C^2). I will discuss some geometric examples to show the consequences of the results.\n<\/div>
