Marston Morse Lectures

Exceptional holonomy and related geometric structures: Examples and moduli theory

We will discuss the constructions of compact manifolds with exceptional holonomy (in fact, holonomy $G_{2}$),  due to Joyce and Kovalev.  These both use “gluing constructions”. The first involves de-singularising quotient spaces and the second constructs a 7-manifold from “building blocks” derived from Fano threefolds.  We will explain how the local moduli theory is determined by a period map and discuss connections between the global moduli problem and Riemannian convergence theory (for manifolds with bounded Ricci curvature).

Featuring

Simon Donaldson

Speaker Affiliation

Stonybrook University

Affiliation

Mathematics

Event Series

Video

https://video.ias.edu/MarstonMorse/2018/0404-SimonDonaldson
Date & Time
April 04, 2018 | 2:003:00pm

Location

Simonyi Hall 101

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