Student Reading Seminar
Tuesdays 12 PM
MATH 350 
This is, in some sense, a continuation of the seminar from
the summer.
August 25 
Steve Preston 
Organizational
meeting 
September 1 
Steve Preston  Riemannian
geometry, metrics and geodesics. 
September 8 
Pearce Washabaugh 
Introduction to infinite
dimensional geometry. 
September 15 
Steve Preston  Riemannian geometry, curvature,
normal and isothermal coordinates, the basic constant
curvature spaces, and the uniformization theorem for
surfaces. 
September 22 
Steve Preston  Riemannian geometry, connections, curvature, harmonic theory, metrics on Lie groups. 
September 29 
Yano Casalalaina  Complex geometry, definition of a
complex manifold, tangent bundles. 
October 6 
Yano Casalalaina  Complex geometry, connections on a
complex manifold. 
October 13 
Yano Casalalaina  Complex geometry, curvature and KahlerEinstein metrics. 
October 20 
Boramay Chhay 
Teichmuller theory, space of
metrics, subspace of metrics with constant curvature,
quotient by the diffeomorphism group, relationship to
the space of almost complex structures, and descending
the natural metrics to the WeilPetersson metric on the
quotient, Teichmuller space. 
October 27 
Boramay Chhay  Teichmuller theory continued. 
November 3 
Steve Preston 
Genus 1 example 
November 10 
Steve Preston 
Genus at least 2 
November 17 
Lucas Simon  Deformations of complex structure, and quadratic differentials. 
November 24 
NO MEETING 
THANKSGIVING
BREAK 
December 1 
NO MEETING 
NO MEETING 
December 8 
Jae Min Lee  Properties of the WeilPetersson metric
as a Kähler metric, and formulas for the sectional
curvature. 
