Department of Mathematics - UC Santa Barbara

Geometry, Topology, and Physics Seminar, Winter 2018

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.

This winter, our general theme will be geometric aspects of supersymmetric physical theories.

Other Quarters: [ Spring, 2018; Winter, 2018; Fall, 2017; 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 ]

January 19

Dave Morrison (UCSB)

An introduction to geometry and supersymmetry

Abstract: Supersymmetric physical theories have close connections to a number of areas of modern geometry. We shall briefly introduce supersymmetry, and then discuss some examples of the connection to geometry.

Audio; Lecture notes.

March 9

Dave Morrison (UCSB)

Geometry and supersymmetry: the case of 8 supercharges

Abstract: I will continue my introduction to geometry and supersymmetry by focussing on the case of 8 supercharges (which is the "intermediate" amount of supersymmetry in four spacetime dimensions). Topics include Seiberg-Witten theory, mirror symmetry for Calabi-Yau threefolds, hyperkahler manifolds as moduli spaces, and more.

Audio; Lecture notes v1, Lecture notes v2.