Geometry and Physics Seminar: Jim Bryan
Topic
The Donaldson-Thomas theory of K3xE Via Motivic and Toric Methods
Speakers
Details
Donaldson-Thomas invariants are fundamental deformation invariants of Calabi-Yau threefolds. We describe a recent conjecture of Oberdieck and Pandharipande which predicts that the (three variable) generating function for the Donaldson-Thomas invariants of K3xE (the product of a K3 surface and an elliptic curve) is given by the reciprocal of the Igusa cusp form of weight 10. For each fixed K3 surface of genus g, the conjecture predicts that the corresponding (two variable) generating function is given by a particular meromorphic Jacobi form. We prove the conjecture for K3 surfaces of genus 0 and genus 1. Our computation uses a new technique which mixes motivic and toric methods.
Additional Information
Location: ESB 4127
Jim Bryan, UBC
Jim Bryan, UBC
This is a Past Event
Event Type
Scientific, Seminar
Date
March 9, 2015
Time
-
Location