Title: Derived and modular resolutions of the Stable map moduli and applications

Speaker：Prof. Hu Yi, University of Arizona

Time: 10:30-11:30 am, May 17,Thursday, 2012

Place: Room 09 at Quan-Zhai (全斋), BICMR, Peking University

Abstract:  In this talk, I will present a derived version of the resolutions of the moduli spaces of stable maps (for all genera). This resolution can be used to rigorously define the so-called reduced Gromov-Witten numbers of Calabi-Yau threefolds (i.e., the GW numbers associated to the main components of the stable map moduli).

The derived resolutions are singular (in the usual sense). For further applications, a resolution (in the usual sense) is desirable (for example, Zinger's proof of genus-1 mirror formula uses such a resolution); I will describe how to achieve this by a sequence of modular blowups in the case of genera 1 and 2.