Osculation in complex projective and hyperbolic structures- David Dumas

Conference Title: GEAR Retreat 2012 Theme: Geometric Structures and Teichmuller Spaces (2 of 5) Title: Osculation in complex projective and hyperbolic structures Speaker: David Dumas, Univ. of Illinois, Chicago; Date and Time: Friday August 10, 11:00 Description: We will discuss how complex-analytic methods from Teichmuller theory apply naturally to the study of various geometric structures on surfaces, with the concept of osculation being a central theme in these connections. While complex projective structures will be the main example in this discussion, we will touch on some other settings where these methods apply. Sponsor: GEAR Network Local host: UIUC Department of Mathematics Funding provided by: National Science Foundation Research Networks in Mathematical Sciences programAbstract: Prof. David Dumas, in this GEAR Retreat 2012 session on Geometric Structures and Teichmuller Spaces, will discuss how complex-analytic methods from Teichmuller theory apply naturally to the study of various geometric structures on surfaces, focusing on the concept of osculation.