Department of Mathematics - UC Santa Barbara

Geometry, Topology, and Physics Seminar, Winter 2014

Part of the NSF/UCSB ‘Research Training Group’ in Topology and Geometry

Organizers: Dave Morrison and Zhenghan Wang.
Meets 4:00 - 5:30 p.m. on selected Fridays in South Hall 6635.

Other Quarters: [ Spring, 2017; Wnter, 2017; Fall, 2016; Spring, 2016; Winter, 2016; Fall, 2015; Spring, 2015; Winter, 2014; Fall, 2013; Fall, 2012; Fall, 2011; Winter, 2011; Spring, 2010; Winter, 2010; Fall, 2009; Spring, 2009; Winter, 2009; Fall, 2008; Spring, 2008; Winter, 2008; Fall, 2007; Spring, 2007; Winter, 2007; Fall, 2006 ]

Some related seminars which may be of interest:

Jan. 14

Topology Seminar, 3:30-4:30, South Hall

John Morgan (SCGP)

Toponogov Theory, Alexandrov spaces, and locally volume collapsed 3-manifolds

Abstract: If the sectional curvature of a manifold is bounded below by a constant K, then geodesics emanating from a point diverge no fasted than geodesics making the same angle in the simply connected surface of constant curvature K. This fundamental observation, due to Toponogov, leads to the theory of Alexandrov spaces, which are metric spaces in which curvature is bounded below by a constant K in the Toponogov sense. These spaces have much structure, leading to a detailed understanding of Alexandrov spaces of dimension at most 2. These in turn of limits of sequences of 3-manifolds with collapsing volume, allowing for a complete topological understanding of the latter. This understanding is a crucial ingredient in Perelman's proof of the Geometrization Conjecture for 3-manifolds.

Jan. 23

New Methods in Nonperturbative Quantum Field Theory, Main Seminar Room, KITP, 2:00-3:00

Dave Morrison (UCSB)

Classification of 6D SCFTs

Video, etc.

Jan. 31

Conference on Quantum Fields Beyond Perturbation Theory, Main Seminar Room, KITP, 3:40

David Simmons-Duffin (Institute for Advanced Study)

The 3d Ising Spectrum Minimizes c

Jan. 31

Conference on Quantum Fields Beyond Perturbation Theory, Main Seminar Room, KITP, 4:25

Leonardo Rastelli (Stony Brook University)

The protected bootstrap: Infinite chiral symmetry in four- and six-dimensional superconformal field theories