Tuesday, April 9, 2019
04/09/2019 - 4:00pm
We generalize the mathematical definition of Coulomb branches of 3d N=4 SUSY quiver gauge theories. In particular, we obtain (generalized) affine Grassmannian slices of BCFG types as examples. This construction also reproduces geometrically some interesting representations of (shifted) Yangians due to Gerasimov-Kharchev-Lebedev-Oblezin. This is a joint work with Hiraku Nakajima.
04/09/2019 - 4:15pm
The Weil-Petersson metric is a Riemannian metric on the Teichmuller space which comes from and reflects the geometry of the hyperbolic metrics on the underlying surface. Motivated by foundational work of McMullen, Pollicott-Sharp (and later Kao) proposed an analogous metric for the moduli space of metrics on a fixed graph. We study this metric and completely characterize its completion in the case of a rose, showing that it resembles the completion of the classical WP metric. This represents joint work with Matt Clay and Yo’av Rieck.