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Geometry & Topology seminarExport this event to calendar

Friday, March 28, 2014 — 2:30 PM EDT

Frédéric Rochon, UQAM University of Quebec

“The moduli space of asymptotically cylindrical Calabi-Yau manifolds”

We show that the examples of asymptotically cylindrical Calabi-Yau manifolds recently obtained by Haskins-Hein-Nordstrom admit a full polyhomogeneous expansion at infinity. Making use of the b-calculus of Melrose, we then establish at Tian-Todorov result in that context, namely, we show that the deformation theory of such complex manifolds is unobstructed. Time permitting, we will also discuss how to define the Weil-Peterson metric in that context as well as some of its properties. This is a joint work with Ronan Conlon and Rafe Mazzeo.

Location 
MC - Mathematics & Computer Building
5046
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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