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Friday, January 24, 2020 2:30 pm - 2:30 pm EST (GMT -05:00)

Estimates for metrics of constant Chern scalar curvature

Xi Sisi Shen, Northwestern University

We discuss the existence problem of constant Chern scalar curvature metrics on a compact complex manifold. We prove a priori estimates for these metrics conditional on an upper bound on the entropy, extending a recent result by Chen-Cheng in the K\"ahler setting. 

MC 5403

Friday, February 7, 2020 10:00 am - 10:00 am EST (GMT -05:00)

Compactification of Monopole Moduli Spaces

Note different time and room

Sergey Cherkis, University of Arizona

Monopole's dynamic is well approximated by the geodesic motion on its moduli space.  This provided the initial motivation for studying monopole moduli spaces.  Recently, these spaces acquired new significance as they deliver numerous examples of gravitational instantons and of spaces of vacua of quantum field theories.  In this light the L2 cohomology of these spaces is particularly important.

Friday, March 6, 2020 3:00 pm - 3:00 pm EST (GMT -05:00)

Closed G2-structures inducing a conformally flat metric

Gavin Ball, Université du Québec à Montréal and Centre de recherches mathématiques

A G2-structure on a 7-manifold M is given by a 3-form of a specific algebraic type. Such a 3-form induces a Riemannian metric on M, and the question of how the geometry of this metric is related to the G2-structure is an interesting one. In this talk, I will discuss the classification of closed G2 structures such that the induced metric is conformally flat. It turns out that any such G2-structure must be locally equivalent to one of three explicit examples.

MC 5403