(Poster) Abstract Submission for Research Showcase: Statistical Sciences at the University of Toronto

1. Contact details *This question is required.

First Name

Last Name

Institution

Email Address

Name your co-authors.

2. Please some provide information about yourself:

Example:
Sarah is a 2nd year PhD student in the Departmnt of Statistical Sciences at the University of Toronto.

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3.

Please provide information about the poster:

Poster Title

Example:
Non-compact $G_2$ manifolds from asymptotically conical Calabi-Yau 3-folds

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4. Enter the abstract as plain text, with blank lines to separate paragraphs. Use LaTeX coding inside $..$ or [...] for mathematical formulas. Please use this website to preview the equations. Speakers are responsible for the accuracy of their abstracts. *This question is required.

Example Abstract/Summary:
Only four examples of complete non-compact $G_2$ manifolds are currently known. In joint work with Mark Haskins and Johannes Nordstrom we construct infinitely many families of new complete non-compact $G_2$ holonomy manifolds. The underlying smooth 7-manifolds are all circle bundles over asymptotically conical (AC) Calabi-Yau manifolds of complex dimension 3. The $G_2$ holonomy metrics we construct should be thought of as arising from abelian Hermitian-Yang-Mills connections on AC Calabi-Yau 3-folds, especially AC Calabi-Yau metrics on crepant resolutions of Calabi-Yau cones.

5. Copy of Please upload a photo of yourself (the presenter)

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